Pith. sign in

REVIEW 6 minor 1 cited by

Hadronic tau decays

T0 review · 0 major / 6 minor · reviewed 2026-08-16 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read This paper argues that a Standard Model framework built on W exchange, form-factor parametrizations, and the operator product expansion predicts hadronic tau decay rates and distributions at percent-level accuracy, making the tau a bridge…

desk verdict A competent, honest pedagogical review of hadronic tau decays: no new results, but a reliable and well-caveated consolidation that deserves refereeing as a review. read the letter →

arxiv 2504.21732 v1 pith:YJJKQDFG submitted 2025-04-30 hep-ph hep-ex

Antonio Rodríguez-Sánchez This is my paper · ORCID
classification hep-phhep-ex
keywords tauphysicshadronicdecayslow-energyQCDformfactorsoperatorproductexpansionspectralfunctionsquark-hadrondualityeffectivefieldtheory
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper is a pedagogical review establishing that hadronic tau decays can be described from the Standard Model with percent-level precision. It derives the full decay distributions from the W-exchange current, shows how non-perturbative QCD enters through form factors and spectral functions, and demonstrates that inclusive observables like R_tau link to two-point correlation functions calculable with the operator product expansion. The author argues that the resulting predictions match experiment to about one percent, turning the tau, the only lepton heavy enough to decay into hadrons, into a direct probe of the transition from confinement to asymptotic freedom. The same techniques extend to physics beyond the Standard Model, constraining new interactions of the heaviest lepton with light quarks.

What carries the argument

The central object is the hadronic tensor H^(J)(s) obtained from the W-exchange matrix element, which separates universal lepton-side kinematics from hadronic form factors. For exclusive decays the machinery comprises vector and axial form factors constrained by parity, G-parity, chiral perturbation theory, dispersion relations, and resonance dominance; for inclusive decays the Källén-Lehmann spectral representation connects the summed hadronic distributions to Im of the vector and axial two-point correlators, whose OPE on |s| = $m_tau^{2}$ yields R_tau with perturbative coefficients known up to five loops, power corrections, and modeled duality violations.

What would settle it

Measure the nonstrange vector-plus-axial spectral function with high precision for s0 values above $m_tau^{2}$, or compute it nonperturbatively on the lattice, and compare rho(s) directly with the OPE prediction: if the oscillations of rho(s) - rho_OPE(s) do not decay as $e^{{-gamma s}}$ but persist or fall as a power law, the OPE-based predictions for R_tau and the associated alpha_s($m_tau^{2}$) extraction would be invalid.

Watch

Extended reading notes

Core claim

The central claim is that the Standard Model, combined with symmetry-based form-factor parametrizations and the operator product expansion, reliably accounts for hadronic tau decay data. Exclusive modes are controlled by Lorentz invariance, parity, G-parity, analyticity, and unitarity, which restrict the hadronic matrix elements to a small set of form factors; inclusive modes become tractable because summing over hadronic channels replaces the messy resonance spectrum with two-point correlation functions of quark currents. Evaluating those correlators on a circle of radius $m_tau^{2}$ gives R_tau and its moments in terms of perturbative QCD plus power corrections suppressed by <O6>/$m_tau^{6}$ and exponentially small quark-hadron duality violations. The author reports that these predictions match experiment at the percent level, confirming the electroweak theory and providing a determination of alpha_s($m_tau^{2}$) with about five percent uncertainty, translating to roughly one percent at M_Z.

Load-bearing premise

The inclusive predictions rest on the assumption that the operator product expansion evaluated on the circle |s| = $m_tau^{2}$, with power corrections suppressed by <O6>/$m_tau^{6}$ and quark-hadron duality violations modeled as exponentially small, reproduces the true spectral integrals; if duality violations decay more slowly than exponentially, the quoted percent-level agreement and the alpha_s extraction would not follow.

Editorial extensions

If this is right

  • The derived angular and invariant-mass distributions for one, two, and three pseudoscalar final states are universal in the hadronic-tensor decomposition, so any measured channel can be checked against the Standard Model without knowing the detailed form factors.
  • The inclusive analysis yields R_tau and its moments from QCD at |s| = m_tau^2, giving alpha_s(m_tau^2) with about five percent uncertainty and alpha_s(M_Z) near the percent level.
  • The vector-minus-axial spectral functions and Weinberg sum rules provide a clean, nonperturbative signature of spontaneous chiral symmetry breaking, with the integrals converging to quark-hadron duality below the tau mass.
  • The ratio of strange to nonstrange inclusive rates, combined with the OPE estimate of SU(3) breaking, currently gives a V_us value smaller than other determinations, pointing to an open tension.
  • In the presence of beyond-the-Standard-Model interactions, the same form-factor and spectral-function machinery places percent-level constraints on the (V-A) x (V-A) nature of charged currents, with tau -> pion nu and tau -> pi eta nu singled out as sensitive probes.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable extension is to measure the nonstrange spectral function at s0 values above m_tau^2 with future high-statistics tau samples; the exponential decay of quark-hadron duality violations, the key model assumption, could then be verified directly rather than inferred from integrals.
  • If lattice QCD computations of inclusive tau decay rates continue to agree with OPE predictions at the few-percent level, the alpha_s extraction becomes less reliant on the parameterization of duality violations and could tighten the current uncertainty.
  • Because the same pion vector form factor enters tau decays and e+e- annihilation, the framework links hadronic tau data to the hadronic vacuum polarization contribution to the muon anomalous magnetic moment; a persistent tau-versus-e+e- spectral discrepancy would directly affect g-2 predictions.
  • The EFT generalization suggests a concrete program: combining the clean one-meson modes, the two-pion mode with its e+e- cross-channel constraint, and the suppressed second-class current tau -> eta pi nu could isolate specific new-physics Lorentz structures beyond the currently constrained left-handed combination.
Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

0 major / 6 minor

Summary. This manuscript is a pedagogical review of hadronic tau decays. It starts from the electroweak charged-current interaction and derives the general polarized and unpolarized decay distributions in terms of hadronic form factors. It then surveys exclusive channels (pi, K, pi pi, K pi, eta pi, K Kbar, K eta, and three-pseudoscalar modes), covering the constraints from chiral symmetry, G-parity, analyticity and dispersion relations, unitarity, and resonance chiral theory, with numerical SM predictions for tau -> pi nu and tau -> K nu. The inclusive analysis introduces the Kallen-Lehmann representation, the contour evaluation of R_tau moments using the OPE, CIPT/FOPT, power corrections, and quark-hadron duality violations, and comments on alpha_s and V_us determinations, including the known tension. The final sections generalize the charged-current Lagrangian to the LEFT/SMEFT and discuss charged-lepton-flavor-violating tau decays. The central claim is that the SM framework gives percent-level predictions for many exclusive and inclusive modes that mostly agree with experiment; the conclusions explicitly acknowledge that exact confirmation of all entries of table 1 is limited by hadronic uncertainties.

Significance. The review is a reliable and useful starting point if its central survey claim is accepted. Its strengths are the explicit derivations of the master formulas (for example, the angular and invariant-mass distributions in Sections 2-3 and the contour representation of the inclusive moments in Section 4), the transparent numerical examples with stated external inputs, and the candid treatment of the main assumptions: the OPE evaluated at |s| = s0 and the exponential model for duality violations are flagged as modeling choices, with empirical support from the weighted integrals in Fig. 14. The manuscript also does not conceal open problems, including the V_us tension, the tau versus e+e- spectral-function discrepancy, and the CP asymmetry in tau -> K_S pi nu. As a review it contains no new derivations or machine-checked code, but the illustrative numerics are reproducible in principle from the quoted inputs. I found no internal inconsistency or circular use of inputs; the cited works of the author are used as literature rather than as defining inputs to the central analysis.

minor comments (6)
  1. [Section 4.2, Eq. (73)] The quoted values R_pert,FOPT approx 3.49 and R_pert,CIPT approx 3.44 are presented without the truncation order, renormalization-scale range, or the K5 variation used in Fig. 11; please label them explicitly as illustrative and direct the reader to the dedicated analyses for the uncertainty budget.
  2. [Section 5.1, Eq. (85)] As printed, Q^(3)_(phi l) and Q^(3)_(phi q) are missing the Pauli matrix tau^I in the fermion bilinears; the standard triplet SMEFT operators require \bar l_p gamma^mu tau^I l_r and \bar q_p gamma^mu tau^I q_r.
  3. [Section 4.3] The string 'No se te that' appears to be a typographical corruption of 'Note that' and should be corrected.
  4. [Section 5.1] In the discussion of using e+e- data for the pi pi mode, 'e+e+ -> pi- pi0' should read 'e+e- -> pi+ pi-', and the isospin rotation between the tau and e+e- channels should be stated more explicitly.
  5. [Section 4.2, Eq. (71)] Several 'one finds' steps (notably the contour expression for A^(n)_pert) omit substantial algebra; for a pedagogical review, adding the integration-by-parts step and the sign convention would improve reproducibility.
  6. [Section 4.1, footnote 10] The convergence caveat about subtractions in the dispersion relation is too terse; a short remark explaining that the Adler function avoids the subtraction ambiguity would help the pedagogical goal of the chapter.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the review's derivations use independent external inputs and its central percent-level claim is appropriately caveated.

full rationale

This paper is a pedagogical review, not a new derivation whose output is baked into its input. The core chain in Sections 2 and 3 starts from the SM charged-current Lagrangian and the W-exchange matrix element, then derives phase-space and angular distributions in terms of hadronic form factors; these form factors are explicitly presented as parametrizations of nonperturbative QCD rather than as fitted stand-ins for the final predictions. The numerical illustration for tau->pi nu and tau->K nu uses external input (f_pi, f_K/f_pi, V_ud, radiative corrections, masses) from FLAG, PDG, and the cited radiative-correction literature, and the resulting SM widths agree with experiment without any parameter fitted to those tau branching fractions. The inclusive analysis in Section 4.2 uses an independent alpha_s value from lattice QCD and five-loop perturbative coefficients, and the OPE-plus-duality-violation framework is presented with its assumptions stated explicitly; the exponential model for duality violations is cited to external literature and is flagged as a modeling choice, not a theorem used to force agreement. The paper's own conclusion concedes that exact first-principles confirmation of all exclusive entries is not yet possible, so the percent-level claim is a well-caveated summary of the field rather than a self-justifying assertion. The self-citations (e.g., Refs. [19, 100, 110, 113, 118]) appear as literature summaries or as examples of existing fits, and none of them is the unique load-bearing justification for a derivation; the surrounding external references and the explicit derivations in the text carry the argument. No equation in the paper is equivalent by construction to the quantity it claims to predict, and no fitted parameter is renamed as a prediction. Consequently, there is no circular step to report.

Assumptions & free parameters 6 free parameters · 7 assumptions · 0 invented entities

The review introduces no new parameters or entities. Its central pedagogical claims rest on standard QCD machinery: spectral representations, the OPE, chiral perturbation theory, and the assumption that isospin breaking and quark-hadron duality violations are small enough to ignore at the quoted precision. The free parameters are external measured or lattice inputs, not quantities fitted here.

free parameters (6)
  • f_pi (pion decay constant) = 0.1302(8) GeV
    External FLAG input (Ref. [23]) used in Eq. (30) for the SM prediction of Gamma(tau->pi nu). Not derived in this paper.
  • f_K/f_pi = 1.1934(19)
    External lattice input used for the tau->K nu prediction in Eq. (30).
  • V_ud and V_us = V_ud=0.97413(42), V_us^2 approx 1 - V_ud^2
    CKM inputs from PDG (Ref. [11]) used in the width formulae and in R_tau.
  • alpha_s (strong coupling) = alpha_s(M_Z)=0.1185, alpha_s(m_tau)=0.318
    External input used for the perturbative R_tau predictions in Eq. (73) and Figure 11; no new extraction is performed.
  • Radiative-correction parameters delta_RC(pi,K) = 0.0194(61), 0.0204(62)
    Taken from Ref. [19] (co-authored by the present author) in Eq. (30); values ultimately trace to Refs. [20-22].
  • Chiral low-energy constants and vacuum condensates = L9^r, L10, <O6>, etc. from cited analyses
    Used to parametrize form factors and power corrections in Sections 3 and 4; not fitted in this review.
assumptions (7)
  • standard math Validity and convergence of the Kallen-Lehmann spectral representation for quark-current two-point functions
    Invoked in Section 4.1 (Eqs. (59)-(61)); the text notes convergence is assumed and subtractions may be needed.
  • domain assumption The Operator Product Expansion can be evaluated on the circle |s|=s0 and power corrections are dominated by <O6>/s0^3
    Used in Section 4.2 around Eqs. (69)-(75) to relate experimental spectral integrals to perturbation theory plus condensates.
  • domain assumption Quark-hadron duality violations are exponentially suppressed so that contour integrals of the spectral function match the OPE at s0 approx m_tau^2
    Section 4.2, after Eq. (76): 'typically modeled as Delta_rho_DV(s) ~ e^{-gamma s}'.
  • domain assumption Isospin limit and G-parity are valid enough to separate vector and axial channels and to relate the pion form factor to e+e- data
    Used in Sections 3.1 and 3.3.2 (Eqs. (20)-(24) and (42)); the text notes isospin-breaking corrections but assumes they are small.
  • domain assumption Chiral perturbation theory and resonance chiral theory provide a convergent parametrization of nonperturbative form factors in the low-energy regime
    Used throughout Section 3 (Eqs. (47)-(50)) for the pion and kaon form factors.
  • domain assumption The Standard Model is the correct low-energy theory for the SM sections; BSM effects are parametrized separately in Section 5
    All width formulae assume the SM charged-current interaction (Eq. (3)) unless explicitly generalized.
  • domain assumption Fermi effective theory after integrating out the W boson is adequate at tau mass scales
    Used in Section 2, Eq. (7); neglected terms are suppressed by m_tau^2/M_W^2.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Hadronic tau decays." pith.science (2026). https://pith.science/paper/YJJKQDFG

@misc{pith2026250421732,
  author       = {Pith},
  title        = {Pith review of: Hadronic tau decays},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YJJKQDFG}},
  note         = {Machine review of arXiv:2504.21732}
}
abstract

We give a pedagogical introduction to the rich phenomenology of hadronic tau decays. These decays provide a unique window into the interplay of electroweak and strong interactions at low energies, as they occur primarily via $W$ exchange after the electroweak quark current hadronizes. In this manuscript, we summarize the basic ingredients required to perform precision physics studies in this sector. We detail the derivation of the different distributions within the Standard Model, discuss how to parametrize the non-perturbative QCD dynamics, and present methods commonly used to achieve clean theoretical predictions. Additionally, we briefly review how these distributions generalize in the presence of relatively heavy particles from beyond the Standard Model. This overview thus aims to serve as a useful starting point for readers interested in understanding how the only lepton capable of decaying into hadrons does so.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Electroweak precision physics via angular distributions in hadronic $\tau$ decays

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Angular moments in two-pseudoscalar tau decays give form-factor-independent SM relations that tensor new physics and scalar mass effects can break.

Reference graph

Works this paper leans on

128 extracted references · 19 canonical work pages · cited by 1 Pith paper

  1. [1]

    (Heavy Flavor Averaging Group (HFLAV)), Averages of b-hadron, c-hadron, and τ-lepton properties as of 2023 (2024), 2411.18639

    Swagato Banerjee, et al. (Heavy Flavor Averaging Group (HFLAV)), Averages of b-hadron, c-hadron, and τ-lepton properties as of 2023 (2024), 2411.18639

    arXiv 2024

  2. [2]

    Adachi, et al

    I. Adachi, et al. (Belle-II), Measurement of the τ-lepton mass with the Belle II experiment, Phys. Rev. D 108 (3) (2023) 032006, doi: 10.1103/PhysRevD.108.032006, 2305.19116

    arXiv 2023

  3. [3]

    Decamp, et al

    D. Decamp, et al. (ALEPH), ALEPH: A detector for electron-positron annihilations at LEP, Nucl. Instrum. Meth. A 294 (1990) 121–178, doi:10.1016/0168-9002(90)91831-U, [Erratum: Nucl.Instrum.Meth.A 303, 393 (1991)]

    doi:10.1016/0168-9002(90)91831-u 1990

  4. [4]

    Ahmet, et al

    K. Ahmet, et al. (OPAL), The OPAL detector at LEP, Nucl. Instrum. Meth. A 305 (1991) 275–319, doi: 10.1016/0168-9002(91)90547-4

    doi:10.1016/0168-9002(91)90547-4 1991

  5. [5]

    P . A. Aarnio, et al. (DELPHI), The DELPHI detector at LEP, Nucl. Instrum. Meth. A 303 (1991) 233–276, doi:10.1016/0168-9002(91)90793-P

    work page doi:10.1016/0168-9002(91)90793-p 1991

  6. [6]

    Kubota, et al

    Y . Kubota, et al. (CLEO), The CLEO-II detector, Nucl. Instrum. Meth. A 320 (1992) 66–113, doi:10.1016/0168-9002(92)90770-5

    doi:10.1016/0168-9002(92)90770-5 1992

  7. [7]

    (BaBar), The BaBar detector, Nucl

    Bernard Aubert, et al. (BaBar), The BaBar detector, Nucl. Instrum. Meth. A 479 (2002) 1–116, doi:10.1016/S0168-9002(01)02012-5, hep-ex/ 0105044

    doi:10.1016/s0168-9002(01)02012-5 2002

  8. [8]

    Abashian, et al

    A. Abashian, et al. (Belle), The Belle Detector, Nucl. Instrum. Meth. A 479 (2002) 117–232, doi: 10.1016/S0168-9002(01)02013-7

    doi:10.1016/s0168-9002(01)02013-7 2002

Show all 128 references
  1. [9]

    Michel Davier, Andreas Hocker, Zhiqing Zhang, The Physics of Hadronic Tau Decays, Rev. Mod. Phys. 78 (2006) 1043–1109, doi: 10.1103/RevModPhys.78.1043, hep-ph/0507078

    2006 arXiv

  2. [10]

    Davier, A

    M. Davier, A. Hoecker, G. Lopez Castro, B. Malaescu, X. H. Mo, G. Toledo Sanchez, P . Wang, C. Z. Yuan, Z. Zhang, The Discrepancy Between tau and e+e- Spectral Functions Revisited and the Consequences for the Muon Magnetic Anomaly, Eur. Phys. J. C 66 (2010) 127–136, doi:10.114...

    2010 arXiv

  3. [11]

    Navas, et al

    S. Navas, et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110 (3) (2024) 030001, doi:10.1103/PhysRevD.110.030001

    2024 doi

  4. [12]

    Wilson, Nonlagrangian models of current algebra, Phys

    Kenneth G. Wilson, Nonlagrangian models of current algebra, Phys. Rev. 179 (1969) 1499–1512, doi: 10.1103/PhysRev.179.1499

    1969 doi

  5. [13]

    Eric Braaten, Tau polarimetry with inclusive decays, Phys. Rev. Lett. 71 (1993) 1316–1319, doi: 10.1103/PhysRevLett.71.1316, hep-ph/ 9304227

    1993 doi

  6. [14]

    W. J. Marciano, A. Sirlin, Electroweak Radiative Corrections to tau Decay, Phys. Rev. Lett. 61 (1988) 1815–1818, doi:10.1103/PhysRevLett. 61.1815

    1988 doi

  7. [15]

    Jens Erler, Electroweak radiative corrections to semileptonic tau decays, Rev. Mex. Fis. 50 (2004) 200–202, hep-ph/0211345

    2004 arXiv

  8. [16]

    Yung-Su Tsai, Decay Correlations of Heavy Leptons in e+ e- —> Lepton+ Lepton-, Phys. Rev. D 4 (1971) 2821, doi:10.1103/PhysRevD.13. 771, [Erratum: Phys.Rev.D 13, 771 (1976)]

    1971 doi

  9. [17]

    Zhi-Hui Guo, Pablo Roig, One meson radiative tau decays, Phys. Rev. D 82 (2010) 113016, doi:10.1103/PhysRevD.82.113016, 1009.2542

    2010 arXiv

  10. [18]

    Eric Braaten, Chong-Sheng Li, Electroweak radiative corrections to the semihadronic decay rate of the tau lepton, Phys. Rev. D 42 (1990) 3888–3891, doi:10.1103/PhysRevD.42.3888

    1990 doi

  11. [19]

    Vincenzo Cirigliano, David D ´ıaz-Calder´on, Adam Falkowski, Mart ´ın Gonz ´alez-Alonso, Antonio Rodr ´ıguez-S´anchez, Semileptonic tau decays beyond the Standard Model, JHEP 04 (2022) 152, doi:10.1007/JHEP04(2022)152, 2112.02087

    2022 arXiv

  12. [20]

    Rosner, Sheldon Stone, Ruth S

    Jonathan L. Rosner, Sheldon Stone, Ruth S. Van de Water, Leptonic Decays of Charged Pseudoscalar Mesons - 2015 (2015), 1509. 02220

    2015

  13. [21]

    212 (2019) 08002, doi:10.1051/epjconf/201921208002, 1903.02682

    Pablo Roig, Semileptonic τ decays: powerful probes of non-standard charged current weak interactions, EPJ Web Conf. 212 (2019) 08002, doi:10.1051/epjconf/201921208002, 1903.02682

    2019

  14. [22]

    M. A. Arroyo-Ure ˜na, G. Hern´andez-Tom´e, G. L´opez-Castro, P . Roig, I. Rosell, Radiative corrections toτ→π(K)ντ[γ]: A reliable new physics test, Phys. Rev. D 104 (9) (2021) L091502, doi:10.1103/PhysRevD.104.L091502, 2107.04603

    2021 arXiv

  15. [23]

    Aoki, et al

    Y . Aoki, et al. (Flavour Lattice Averaging Group (FLAG)), FLAG Review 2024 (2024),2411.04268

    2024 arXiv

  16. [24]

    Antonio Pich, Precision Tau Physics, Prog. Part. Nucl. Phys. 75 (2014) 41–85, doi: 10.1016/j.ppnp.2013.11.002, 1310.7922

    2014 arXiv

  17. [25]

    L ´opez Aguilar, Javier Rend ´on, Pablo Roig, CP violation in two-meson Tau decays induced by heavy new physics, JHEP 01 (2025) 105, doi:10.1007/JHEP01(2025)105, 2409.05588

    Daniel A. L ´opez Aguilar, Javier Rend ´on, Pablo Roig, CP violation in two-meson Tau decays induced by heavy new physics, JHEP 01 (2025) 105, doi:10.1007/JHEP01(2025)105, 2409.05588

    2025 arXiv

  18. [26]

    Johann H. Kuhn, E. Mirkes, Structure functions in tau decays, Z. Phys. C 56 (1992) 661–672, doi:10.1007/BF01474741, [Erratum: Z.Phys.C 67, 364 (1995)]

    1992 doi

  19. [27]

    Peter Lepage, Stanley J

    G. Peter Lepage, Stanley J. Brodsky, Exclusive Processes in Perturbative Quantum Chromodynamics, Phys. Rev. D 22 (1980) 2157, doi:10.1103/PhysRevD.22.2157

    1980 doi

  20. [28]

    Melic, B

    B. Melic, B. Nizic, K. Passek, Complete next-to-leading order perturbative QCD prediction for the pion form-factor, Phys. Rev. D 60 (1999) 074004, doi:10.1103/PhysRevD.60.074004, hep-ph/9802204

    1999 arXiv

  21. [29]

    Silvano Simula, Ludovico Vittorio, Dispersive analysis of the experimental data on the electromagnetic form factor of charged pions at spacelike momenta, Phys. Rev. D 108 (9) (2023) 094013, doi:10.1103/PhysRevD.108.094013, 2309.02135

    2023 arXiv

  22. [30]

    Enrique Ruiz Arriola, Pablo Sanchez-Puertas, Phase of the electromagnetic form factor of the pion, Phys. Rev. D 110 (5) (2024) 054003, doi:10.1103/PhysRevD.110.054003, 2403.07121

    2024 arXiv

  23. [31]

    Omnes, On the Solution of certain singular integral equations of quantum field theory, Nuovo Cim

    R. Omnes, On the Solution of certain singular integral equations of quantum field theory, Nuovo Cim. 8 (1958) 316–326, doi: 10.1007/ BF02747746

    1958

  24. [32]

    Watson, Some general relations between the photoproduction and scattering of pi mesons, Phys

    Kenneth M. Watson, Some general relations between the photoproduction and scattering of pi mesons, Phys. Rev. 95 (1954) 228–236, doi:10.1103/PhysRev.95.228

    1954 doi

  25. [33]

    Jos ´e Antonio Oller, Coupled-channel formalism (2025), 2501.10000

    2025 arXiv

  26. [34]

    Gasser, H

    J. Gasser, H. Leutwyler, Chiral Perturbation Theory to One Loop, Annals Phys. 158 (1984) 142, doi: 10.1016/0003-4916(84)90242-2

    1984 doi

  27. [35]

    Gasser, H

    J. Gasser, H. Leutwyler, Low-Energy Expansion of Meson Form-Factors, Nucl. Phys. B 250 (1985) 517–538, doi: 10.1016/0550-3213(85) 90493-6

    1985 doi

  28. [36]

    Ademollo, Raoul Gatto, Nonrenormalization Theorem for the Strangeness Violating Vector Currents, Phys

    M. Ademollo, Raoul Gatto, Nonrenormalization Theorem for the Strangeness Violating Vector Currents, Phys. Rev. Lett. 13 (1964) 264– 265, doi:10.1103/PhysRevLett.13.264

    1964 doi

  29. [37]

    Nieves, A

    J. Nieves, A. Pich, E. Ruiz Arriola, Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics, Phys. Rev. D 84 (2011) 096002, doi:10.1103/PhysRevD.84.096002, 1107.3247

    2011 arXiv

  30. [38]

    Ecker, J

    G. Ecker, J. Gasser, A. Pich, E. de Rafael, The Role of Resonances in Chiral Perturbation Theory, Nucl. Phys. B 321 (1989) 311–342, doi:10.1016/0550-3213(89)90346-5

    1989 doi

  31. [39]

    Ecker, J

    G. Ecker, J. Gasser, H. Leutwyler, A. Pich, E. de Rafael, Chiral Lagrangians for Massive Spin 1 Fields, Phys. Lett. B 223 (1989) 425–432, doi:10.1016/0370-2693(89)91627-4

    1989 doi

  32. [40]

    Rosell, J

    I. Rosell, J. J. Sanz-Cillero, A. Pich, Quantum loops in the resonance chiral theory: The Vector form-factor, JHEP 08 (2004) 042, doi: 10.1088/1126-6708/2004/08/042, hep-ph/0407240. Hadronic tau decays 23

    2004 arXiv

  33. [41]

    A. Pich, I. Rosell, J. J. Sanz-Cillero, Form-factors and current correlators: Chiral couplings L(10)mu) **r(mu) and C(87)**r(mu) at NLO in 1/N(C), JHEP 07 (2008) 014, doi:10.1088/1126-6708/2008/07/014, 0803.1567

    2008 arXiv

  34. [42]

    Francisco Guerrero, Antonio Pich, Effective field theory description of the pion form-factor, Phys. Lett. B 412 (1997) 382–388, doi:10.1016/ S0370-2693(97)01070-8, hep-ph/9707347

    1997 arXiv

  35. [43]

    Gilberto Colangelo, Martin Hoferichter, Peter Stoffer, Two-pion contribution to hadronic vacuum polarization, JHEP 02 (2019) 006, doi: 10.1007/JHEP02(2019)006, 1810.00007

    2019 arXiv

  36. [44]

    Matthew Kirk, Bastian Kubis, M ´eril Reboud, Danny van Dyk, A simple parametrisation of the pion form factor, Phys. Lett. B 861 (2025) 139266, doi:10.1016/j.physletb.2025.139266, 2410.13764

    2025

  37. [45]

    Fujikawa, et al

    M. Fujikawa, et al. (Belle), High-Statistics Study of the tau- — > pi- pi0 nu(tau) Decay, Phys. Rev. D 78 (2008) 072006, doi: 10.1103/ PhysRevD.78.072006, 0805.3773

    2008 arXiv

  38. [46]

    Epifanov, et al

    D. Epifanov, et al. (Belle), Study of tau- —> K(S) pi- nu(tau) decay at Belle, Phys. Lett. B 654 (2007) 65–73, doi:10.1016/j.physletb.2007.08. 045, 0706.2231

    2007 arXiv

  39. [47]

    Mario Antonelli, Vincenzo Cirigliano, Alberto Lusiani, Emilie Passemar, Predicting the τ strange branching ratios and implications for Vus, JHEP 10 (2013) 070, doi:10.1007/JHEP10(2013)070, 1304.8134

    2013 arXiv

  40. [48]

    Matthias Jamin, Jose Antonio Oller, Antonio Pich, Strangeness changing scalar form-factors, Nucl. Phys. B 622 (2002) 279–308, doi: 10.1016/S0550-3213(01)00605-8, hep-ph/0110193

    2002 arXiv

  41. [49]

    Jamin, J

    M. Jamin, J. A. Oller, A. Pich, Scalar K pi form factor and light quark masses, Phys. Rev. D 74 (2006) 074009, doi: 10.1103/PhysRevD.74. 074009, hep-ph/0605095

    2006 arXiv

  42. [50]

    Matthias Jamin, Antonio Pich, Jorge Portoles, Spectral distribution for the decay tau — > nu(tau) K pi, Phys. Lett. B 640 (2006) 176–181, doi:10.1016/j.physletb.2006.06.058, hep-ph/0605096

    2006 arXiv

  43. [51]

    Matthias Jamin, Antonio Pich, Jorge Portoles, What can be learned from the Belle spectrum for the decay - tau- — > nu(tau) K(S) pi-, Phys. Lett. B 664 (2008) 78–83, doi:10.1016/j.physletb.2008.04.049, 0803.1786

    2008 arXiv

  44. [52]

    Boito, Rafel Escribano, Matthias Jamin, K pi vector form-factor, dispersive constraints and tau — > nu(tau) K pi decays, Eur

    Diogo R. Boito, Rafel Escribano, Matthias Jamin, K pi vector form-factor, dispersive constraints and tau — > nu(tau) K pi decays, Eur. Phys. J. C 59 (2009) 821–829, doi:10.1140/epjc/s10052-008-0834-9 , 0807.4883

    2009 arXiv

  45. [53]

    D. R. Boito, R. Escribano, M. Jamin, K π vector form factor constrained by τ−> K pi ντ and Kl3 decays, JHEP 09 (2010) 031, doi: 10.1007/JHEP09(2010)031, 1007.1858

    2010 arXiv

  46. [54]

    Vincenzo Cirigliano, Andreas Crivellin, Martin Hoferichter, No-go theorem for nonstandard explanations of the τ→ KSπντ CP asymmetry, Phys. Rev. Lett. 120 (14) (2018) 141803, doi:10.1103/PhysRevLett.120.141803, 1712.06595

    2018 arXiv

  47. [55]

    Javier Rend ´on, Pablo Roig, Genaro Toledo S ´anchez, Effective-field theory analysis of the τ−→ (Kπ)−ντ decays, Phys. Rev. D 99 (9) (2019) 093005, doi:10.1103/PhysRevD.99.093005, 1902.08143

    2019 arXiv

  48. [56]

    I. I. Bigi, A. I. Sanda, A ’Known’ CP asymmetry in tau decays, Phys. Lett. B 625 (2005) 47–52, doi: 10.1016/j.physletb.2005.08.033, hep-ph/ 0506037

    2005 doi

  49. [57]

    J. P . Lees, et al. (BaBar), Search for CP Violation in the Decay τ−−>π−K0 S (>= 0π0)νtau, Phys. Rev. D 85 (2012) 031102, doi: 10.1103/ PhysRevD.85.031102, [Erratum: Phys.Rev.D 85, 099904 (2012)], 1109.1527

    2012 arXiv

  50. [58]

    Yuval Grossman, Y osef Nir, CP Violation inτ±→π±KSν and D±→π±KS : The Importance of KS− KL Interference, JHEP 04 (2012) 002, doi:10.1007/JHEP04(2012)002, 1110.3790

    2012 arXiv

  51. [59]

    Descotes-Genon, B

    S. Descotes-Genon, B. Moussallam, Analyticity of ηπ isospin-violating form factors and the τ→ηπν second-class decay, Eur. Phys. J. C 74 (2014) 2946, doi:10.1140/epjc/s10052-014-2946-8 , 1404.0251

    2014 arXiv

  52. [60]

    Rafel Escribano, Sergi Gonzalez-Solis, Pablo Roig, Predictions on the second-class current decays τ−→π−η(′)ντ, Phys. Rev. D 94 (3) (2016) 034008, doi:10.1103/PhysRevD.94.034008, 1601.03989

    2016 arXiv

  53. [61]

    Moussallam, Deriving experimental constraints on the scalar form factor in the second-class τ→ηπν mode, in: 16th International Workshop on Tau Lepton Physics 2021, 2112.04429

    B. Moussallam, Deriving experimental constraints on the scalar form factor in the second-class τ→ηπν mode, in: 16th International Workshop on Tau Lepton Physics 2021, 2112.04429

    2021 arXiv

  54. [62]

    K. Hayasaka (Belle), Second class current in tau — > pi eta nu analysis and measurement of tau — > h h-prime h” nu from Belle: electroweak physics from Belle, PoS EPS-HEP2009 (2009) 374, doi:10.22323/1.084.0374

    2009 doi

  55. [63]

    Escribano, S

    R. Escribano, S. Gonzalez-Solis, P . Roig, τ−→ K−η(′)ντ decays in Chiral Perturbation Theory with Resonances, JHEP 10 (2013) 039, doi:10.1007/JHEP10(2013)039, 1307.7908

    2013 arXiv

  56. [64]

    Sergi Gonz `alez-Sol´ıs, Pablo Roig, A dispersive analysis of the pion vector form factor and τ−→ K−KSντ decay, Eur. Phys. J. C 79 (5) (2019) 436, doi:10.1140/epjc/s10052-019-6943-9 , 1902.02273

    2019 arXiv

  57. [65]

    Inami, et al

    K. Inami, et al. (Belle), Precise measurement of hadronic tau-decays with an eta meson, Phys. Lett. B 672 (2009) 209–218, doi: 10.1016/j. physletb.2009.01.047, 0811.0088

    2009 arXiv

  58. [66]

    del Amo Sanchez, et al

    P . del Amo Sanchez, et al. (BaBar), Studies of tau- — > eta K-nu and tau- —> eta pi- nu(tau) at BaBar and a search for a second-class current, Phys. Rev. D 83 (2011) 032002, doi:10.1103/PhysRevD.83.032002, 1011.3917

    2011 arXiv

  59. [67]

    J. P . Lees, et al. (BaBar), Measurement of the spectral function for the τ−→ K−KSντ decay, Phys. Rev. D 98 (3) (2018) 032010, doi: 10.1103/PhysRevD.98.032010, 1806.10280

    2018 arXiv

  60. [68]

    Jadach, Z

    S. Jadach, Z. Was, R. Decker, Johann H. Kuhn, The tau decay library TAUOLA: Version 2.4, Comput. Phys. Commun. 76 (1993) 361–380, doi:10.1016/0010-4655(93)90061-G

    1993 doi

  61. [69]

    Johann H. Kuhn, A. Santamaria, Tau decays to pions, Z. Phys. C 48 (1990) 445–452, doi: 10.1007/BF01572024

    1990 doi

  62. [70]

    Gilberto Colangelo, Markus Finkemeier, Res Urech, Tau decays and chiral perturbation theory, Phys. Rev. D 54 (1996) 4403–4418, doi:10.1103/PhysRevD.54.4403, hep-ph/9604279

    1996 arXiv

  63. [71]

    Gomez Dumm, A

    D. Gomez Dumm, A. Pich, J. Portoles, tau — > pi pi pi nu(tau) decays in the resonance effective theory, Phys. Rev. D 69 (2004) 073002, doi:10.1103/PhysRevD.69.073002, hep-ph/0312183

    2004 arXiv

  64. [72]

    Gomez Dumm, P

    D. Gomez Dumm, P . Roig, A. Pich, J. Portoles, tau —> pi pi pi nu(tau) decays and the a(1)(1260) off-shell width revisited, Phys. Lett. B 685 (2010) 158–164, doi:10.1016/j.physletb.2010.01.059, 0911.4436

    2010 arXiv

  65. [73]

    Luca Girlanda, Jan Stern, The Decay tau — > 3 pi + nu(tau) as a probe of the mechanism of dynamical chiral symmetry breaking, Nucl. Phys. B 575 (2000) 285–312, doi:10.1016/S0550-3213(00)00068-7, hep-ph/9906489

    2000 arXiv

  66. [74]

    Juan Jose Sanz-Cillero, Olga Shekhovtsova, Refining the scalar and tensor contributions in τ→πππντ decays, JHEP 12 (2017) 080, doi:10.1007/JHEP12(2017)080, 1707.01137

    2017 arXiv

  67. [75]

    Schael, et al

    S. Schael, et al. (ALEPH), Branching ratios and spectral functions of tau decays: Final ALEPH measurements and physics implications, Phys. Rept. 421 (2005) 191–284, doi:10.1016/j.physrep.2005.06.007, hep-ex/0506072

    2005 arXiv

  68. [76]

    Daniel Gomez Dumm, Pablo Roig, Resonance Chiral Lagrangian analysis of τ−→η(′)π−π0ντ decays, Phys. Rev. D 86 (2012) 076009, doi:10.1103/PhysRevD.86.076009, 1208.1212

    2012 arXiv

  69. [77]

    Gomez Dumm, P

    D. Gomez Dumm, P . Roig, A. Pich, J. Portoles, Hadron structure in tau — > KK pi nu (tau) decays, Phys. Rev. D 81 (2010) 034031, doi:10.1103/PhysRevD.81.034031, 0911.2640. 24 Hadronic tau decays

    2010 arXiv

  70. [78]

    Saray Arteaga, Ling-Yun Dai, Adolfo Guevara, Pablo Roig, Tension between e+e-→ηπ-π+ andτ-→ηπ-π0ντ data and nonstandard interac- tions, Phys. Rev. D 106 (9) (2022) 096016, doi:10.1103/PhysRevD.106.096016, 2209.15537

    2022 arXiv

  71. [79]

    Ecker, R

    G. Ecker, R. Unterdorfer, Four pion production in e+ e- annihilation, Eur. Phys. J. C 24 (2002) 535–545, doi: 10.1007/s10052-002-0960-8 , hep-ph/0203075

    2002 arXiv

  72. [80]

    Gunnar K ¨all´en, On the definition of the Renormalization Constants in Quantum Electrodynamics, Helv. Phys. Acta 25 (4) (1952) 417, doi:10.1007/978-3-319-00627-7 90

    1952 doi

  73. [81]

    Lehmann, On the Properties of propagation functions and renormalization constants of quantized fields, Nuovo Cim

    H. Lehmann, On the Properties of propagation functions and renormalization constants of quantized fields, Nuovo Cim. 11 (1954) 342– 357, doi:10.1007/BF02783624

    1954 doi

  74. [82]

    Steven Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press 2005, ISBN 978-0-521-67053-1, 978- 0-511-25204-4, doi:10.1017/CBO9781139644167

    2005 doi

  75. [83]

    1171–1218, hep-ph/9802448

    Eduardo de Rafael, An Introduction to sum rules in QCD: Course, in: Les Houches Summer School in Theoretical Physics, Session 68: Probing the Standard Model of Particle Interactions 1997, pp. 1171–1218, hep-ph/9802448

    1997 arXiv

  76. [84]

    93–120, doi:10.3204/DESY-PROC-2016-04/Zwicky, 1610.06090

    Roman Zwicky, A brief Introduction to Dispersion Relations and Analyticity, in: Quantum Field Theory at the Limits: from Strong Fields to Heavy Quarks 2017, pp. 93–120, doi:10.3204/DESY-PROC-2016-04/Zwicky, 1610.06090

    2017 arXiv

  77. [85]

    thesis, U

    Martin Gonzalez-Alonso, Low-energy tests of the Standard Model, Ph.D. thesis, U. Valencia (main) 2010

    2010

  78. [86]

    Michel Davier, Andreas H ¨ocker, Bogdan Malaescu, Chang-Zheng Yuan, Zhiqing Zhang, Update of the ALEPH non-strange spectral functions from hadronicτ decays, Eur. Phys. J. C 74 (3) (2014) 2803, doi:10.1140/epjc/s10052-014-2803-9 , 1312.1501

    2014 arXiv

  79. [87]

    Braaten, Stephan Narison, A

    E. Braaten, Stephan Narison, A. Pich, QCD analysis of the tau hadronic width, Nucl. Phys. B 373 (1992) 581–612, doi: 10.1016/ 0550-3213(92)90267-F

    1992

  80. [88]

    Shifman, A

    Mikhail A. Shifman, A. I. Vainshtein, Valentin I. Zakharov, QCD and Resonance Physics. Theoretical Foundations, Nucl. Phys. B 147 (1979) 385–447, doi:10.1016/0550-3213(79)90022-1

    1979 doi

  81. [89]

    P . A. Baikov, K. G. Chetyrkin, Johann H. Kuhn, Order alpha**4(s) QCD Corrections to Z and tau Decays, Phys. Rev. Lett. 101 (2008) 012002, doi:10.1103/PhysRevLett.101.012002, 0801.1821

    2008 arXiv

  82. [90]

    T. L. Trueman, Chiral Symmetry in Perturbative QCD, Phys. Lett. B 88 (1979) 331–334, doi:10.1016/0370-2693(79)90480-5

    1979 doi

  83. [91]

    Antonio Pich, Antonio Rodr ´ıguez-S´anchez, Violations of quark-hadron duality in low-energy determinations of αs, JHEP 07 (2022) 145, doi:10.1007/JHEP07(2022)145, 2205.07587

    2022 arXiv

  84. [92]

    Mattia Dalla Brida, Roman H ¨ollwieser, Francesco Knechtli, Tomasz Korzec, Alessandro Nada, Alberto Ramos, Stefan Sint, Rainer Sommer (ALPHA), Determination of αs(mZ) by the non-perturbative decoupling method, Eur. Phys. J. C 82 (12) (2022) 1092, doi: 10.1140/epjc/s10052-022-1...

    2022 arXiv

  85. [93]

    Mattia Dalla Brida, Roman H ¨ollwieser, Francesco Knechtli, Tomasz Korzec, Alberto Ramos, Stefan Sint, Rainer Sommer, The strength of the interaction between quarks and gluons (2025), 2501.06633

    2025 arXiv

  86. [94]

    Le Diberder, A

    F . Le Diberder, A. Pich, The perturbative QCD prediction to R(tau) revisited, Phys. Lett. B 286 (1992) 147–152, doi:10.1016/0370-2693(92) 90172-Z

    1992 doi

  87. [95]

    Pascual, R

    P . Pascual, R. Tarrach, QCD: RENORMALIZATION FOR THE PRACTITIONER, vol. 194 1984

    1984

  88. [96]

    David Dikeman, Mikhail A

    Boris Chibisov, R. David Dikeman, Mikhail A. Shifman, N. Uraltsev, Operator product expansion, heavy quarks, QCD duality and its violations, Int. J. Mod. Phys. A 12 (1997) 2075–2133, doi:10.1142/S0217751X97001316, hep-ph/9605465

    1997 arXiv

  89. [97]

    Oscar Cata, Maarten Golterman, Santi Peris, Unraveling duality violations in hadronic tau decays, Phys. Rev. D 77 (2008) 093006, doi:10.1103/PhysRevD.77.093006, 0803.0246

    2008 arXiv

  90. [98]

    Martin Gonzalez-Alonso, Antonio Pich, Joaquim Prades, Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD, Phys. Rev. D 81 (2010) 074007, doi:10.1103/PhysRevD.81.074007, 1001.2269

    2010 arXiv

  91. [99]

    Diogo Boito, Irinel Caprini, Maarten Golterman, Kim Maltman, Santiago Peris, Hyperasymptotics and quark-hadron duality violations in QCD, Phys. Rev. D 97 (5) (2018) 054007, doi:10.1103/PhysRevD.97.054007, 1711.10316

    2018 arXiv

  92. [100]

    Antonio Pich, Antonio Rodr ´ıguez-S´anchez, Determination of the QCD coupling from ALEPH τ decay data, Phys. Rev. D 94 (3) (2016) 034027, doi:10.1103/PhysRevD.94.034027, 1605.06830

    2016 arXiv

  93. [101]

    Rodrigues, Wilder Schaaf, Strong coupling from an improved τ vector isovector spectral function, Phys

    Diogo Boito, Maarten Golterman, Kim Maltman, Santiago Peris, Marcus V. Rodrigues, Wilder Schaaf, Strong coupling from an improved τ vector isovector spectral function, Phys. Rev. D 103 (3) (2021) 034028, doi:10.1103/PhysRevD.103.034028, 2012.10440

    2021 arXiv

  94. [102]

    Cesar Ayala, Gorazd Cvetic, Diego Teca, Borel–Laplace sum rules with τ decay data, using OPE with improved anomalous dimensions, J. Phys. G 50 (4) (2023) 045004, doi:10.1088/1361-6471/acbd65, 2206.05631

    2023 arXiv

  95. [103]

    Shifman, The Case of alpha-s: Z versus low-energies, or how nature prompts us of new physics, Int

    Mikhail A. Shifman, The Case of alpha-s: Z versus low-energies, or how nature prompts us of new physics, Int. J. Mod. Phys. A 11 (1996) 3195–3226, doi:10.1142/S0217751X9600153X, hep-ph/9511469

    1996 arXiv

  96. [104]

    Elvira Gamiz, Matthias Jamin, Antonio Pich, Joaquim Prades, Felix Schwab, —V(us)— and m(s) from hadronic tau decays, Nucl. Phys. B Proc. Suppl. 169 (2007) 85–89, doi:10.1016/j.nuclphysbps.2007.02.053, hep-ph/0612154

    2007 arXiv

  97. [105]

    Antonio Evangelista, Roberto Frezzotti, Nazario Tantalo, Giuseppe Gagliardi, Francesco Sanfilippo, Silvano Simula, Vittorio Lubicz (Extended Twisted Mass), Inclusive hadronic decay rate of the τ lepton from lattice QCD, Phys. Rev. D 108 (7) (2023) 074513, doi: 10.1103/PhysRevD...

    2023 arXiv

  98. [106]

    (Extended Twisted Mass), Inclusive Hadronic Decay Rate of theτ Lepton from Lattice QCD: The u¯s Flavor Channel and the Cabibbo Angle, Phys

    Constantia Alexandrou, et al. (Extended Twisted Mass), Inclusive Hadronic Decay Rate of theτ Lepton from Lattice QCD: The u¯s Flavor Channel and the Cabibbo Angle, Phys. Rev. Lett. 132 (26) (2024) 261901, doi:10.1103/PhysRevLett.132.261901, 2403.05404

    2024 arXiv

  99. [107]

    Steven Weinberg, Precise relations between the spectra of vector and axial vector mesons, Phys. Rev. Lett. 18 (1967) 507–509, doi: 10.1103/PhysRevLett.18.507

    1967 doi

  100. [108]

    Gerard ’t Hooft, A Planar Diagram Theory for Strong Interactions, Nucl. Phys. B 72 (1974) 461, doi: 10.1016/0550-3213(74)90154-0

    1974 doi

  101. [109]

    Edward Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57–115, doi: 10.1016/0550-3213(79)90232-3

    1979 doi

  102. [110]

    Antonio Pich, Antonio Rodr ´ıguez-S´anchez, SU(3) analysis of four-quark operators: K→ππ and vacuum matrix elements, JHEP 06 (2021) 005, doi:10.1007/JHEP06(2021)005, 2102.09308

    2021 arXiv

  103. [111]

    Donoghue, Eugene Golowich, Dispersive calculation of B(3/2)(7) and B(3/2)(8) in the chiral limit, Phys

    John F . Donoghue, Eugene Golowich, Dispersive calculation of B(3/2)(7) and B(3/2)(8) in the chiral limit, Phys. Lett. B 478 (2000) 172–184, doi:10.1016/S0370-2693(00)00239-2, hep-ph/9911309

    2000 arXiv

  104. [112]

    Diogo Boito, Anthony Francis, Maarten Golterman, Renwick Hudspith, Randy Lewis, Kim Maltman, Santiago Peris, Low-energy constants and condensates from ALEPH hadronicτ decay data, Phys. Rev. D 92 (11) (2015) 114501, doi:10.1103/PhysRevD.92.114501, 1503.03450

    2015 arXiv

  105. [113]

    Martin Gonz ´alez-Alonso, Antonio Pich, Antonio Rodr´ıguez-S´anchez, Updated determination of chiral couplings and vacuum condensates from hadronicτ decay data, Phys. Rev. D 94 (1) (2016) 014017, doi:10.1103/PhysRevD.94.014017, 1602.06112

    2016 arXiv

  106. [114]

    Vincenzo Cirigliano, James Jenkins, Martin Gonzalez-Alonso, Semileptonic decays of light quarks beyond the Standard Model, Nucl. Phys. B 830 (2010) 95–115, doi:10.1016/j.nuclphysb.2009.12.020, 0908.1754

    2010 arXiv

  107. [115]

    Grzadkowski, M

    B. Grzadkowski, M. Iskrzynski, M. Misiak, J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085, doi:10.1007/JHEP10(2010)085, 1008.4884. Hadronic tau decays 25

    2010 arXiv

  108. [116]

    E. A. Garc ´es, M. Hern ´andez Villanueva, G. L ´opez Castro, P . Roig, Effective-field theory analysis of the τ−→η(′)π−ντ decays, JHEP 12 (2017) 027, doi:10.1007/JHEP12(2017)027, 1708.07802

    2017 arXiv

  109. [117]

    J. A. Miranda, P . Roig, Effective-field theory analysis of the τ−→π−π0ντ decays, JHEP 11 (2018) 038, doi: 10.1007/JHEP11(2018)038, 1806.09547

    2018 arXiv

  110. [118]

    Vincenzo Cirigliano, Adam Falkowski, Mart ´ın Gonz´alez-Alonso, Antonio Rodr´ıguez-S´anchez, Hadronicτ Decays as New Physics Probes in the LHC Era, Phys. Rev. Lett. 122 (22) (2019) 221801, doi:10.1103/PhysRevLett.122.221801, 1809.01161

    2019 arXiv

  111. [119]

    Bernstein, Julian Heeck, David G

    Sacha Davidson, Bertrand Echenard, Robert H. Bernstein, Julian Heeck, David G. Hitlin, Charged Lepton Flavor Violation (2022), 2209. 00142

    2022

  112. [120]

    Marco Ardu, Sacha Davidson, Martin Gorbahn, Sensitivity of µ→e processes to τ flavor change, Phys. Rev. D 105 (9) (2022) 096040, doi:10.1103/PhysRevD.105.096040, 2202.09246

    2022 arXiv

  113. [121]

    Jenkins, Aneesh V

    Elizabeth E. Jenkins, Aneesh V. Manohar, Peter Stoffer, Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching, JHEP 03 (2018) 016, doi:10.1007/JHEP03(2018)016, [Erratum: JHEP 12, 043 (2023)], 1709.04486

    2018 arXiv

  114. [122]

    Alejandro Celis, Vincenzo Cirigliano, Emilie Passemar, Model-discriminating power of lepton flavor violatingτ decays, Phys. Rev. D 89 (9) (2014) 095014, doi:10.1103/PhysRevD.89.095014, 1403.5781

    2014 arXiv

  115. [123]

    Jenkins, Aneesh V

    Elizabeth E. Jenkins, Aneesh V. Manohar, Michael Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035, doi:10.1007/JHEP01(2014)035, 1310.4838

    2014 arXiv

  116. [124]

    Jenkins, Aneesh V

    Rodrigo Alonso, Elizabeth E. Jenkins, Aneesh V. Manohar, Michael Trott, Renormalization Group Evolution of the Standard Model Dimen- sion Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159, doi:10.1007/JHEP04(2014)159, 1312.2014

    2014 arXiv

  117. [125]

    Alejandro Celis, Vincenzo Cirigliano, Emilie Passemar, Lepton flavor violation in the Higgs sector and the role of hadronicτ-lepton decays, Phys. Rev. D 89 (2014) 013008, doi:10.1103/PhysRevD.89.013008, 1309.3564

    2014 arXiv

  118. [126]

    Tomas Husek, Kevin Monsalvez-Pozo, Jorge Portoles, Lepton-flavour violation in hadronic tau decays and µ−τ conversion in nuclei, JHEP 01 (2021) 059, doi:10.1007/JHEP01(2021)059, 2009.10428

    2021 arXiv

  119. [127]

    Vincenzo Cirigliano, Kaori Fuyuto, Christopher Lee, Emanuele Mereghetti, Bin Y an, Charged Lepton Flavor Violation at the EIC, JHEP 03 (2021) 256, doi:10.1007/JHEP03(2021)256, 2102.06176

    2021 arXiv

  120. [128]

    Plakias, O

    I. Plakias, O. Sumensari, Lepton flavor violation in semileptonic observables, Phys. Rev. D 110 (3) (2024) 035016, doi: 10.1103/PhysRevD. 110.035016, 2312.14070

    2024 arXiv

Pith tools

Reviewed August 16, 2026 · model on record in the stance chip above.