pith. machine review for the scientific record. sign in

arxiv: 2604.22201 · v1 · submitted 2026-04-24 · ✦ hep-lat · hep-ph

Recognition: unknown

Inclusive semileptonic D_sto X_sellbarν decays from lattice QCD: continuum and chiral extrapolation

Ahmed Elgaziari, Alessandro Barone, Andreas J\"uttner, Ryan Kellermann, Shoji Hashimoto, Takashi Kaneko, Zhi Hu

Pith reviewed 2026-05-08 08:41 UTC · model grok-4.3

classification ✦ hep-lat hep-ph
keywords lattice QCDinclusive semileptonic decaysDs mesonchiral extrapolationcontinuum extrapolationdomain-wall fermionsdecay rate
0
0 comments X

The pith

Lattice QCD calculation gives the inclusive semileptonic Ds to Xs lepton neutrino decay rate in agreement with experiment at the few-percent level.

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

The paper computes the rate for the inclusive semileptonic decay of the Ds meson into any strange hadronic state plus lepton and antineutrino using lattice QCD. It carries out chiral and continuum extrapolations on gauge ensembles generated with 2+1 flavors of Möbius domain-wall fermions. Systematic errors are controlled, with explicit treatment of the integral that sums over all possible final states. The resulting rate matches currently available experimental measurements within the quoted uncertainty.

Core claim

The authors present a lattice QCD determination of the inclusive semileptonic Ds → Xs ℓ ν-bar decay rate. Using 2+1 flavor Möbius domain-wall fermion ensembles, they perform chiral and continuum extrapolations while fully accounting for systematic uncertainties, including those from the integral over all possible final states. Their result agrees with experimental data at the few-percent level.

What carries the argument

Lattice QCD computation of the inclusive decay rate on Möbius domain-wall fermion ensembles, extrapolated to the physical point and continuum limit with explicit integration over final states.

If this is right

  • The lattice result provides a first-principles benchmark for this inclusive charmed-meson decay.
  • The controlled few-percent uncertainty demonstrates that the method can be applied to other inclusive semileptonic processes.
  • Agreement with data supports the reliability of the final-state integration technique for summing over unobserved hadrons.
  • The calculation supplies a Standard-Model prediction that can be compared directly with future, more precise measurements.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same framework could be used to compute inclusive decays of other D mesons and thereby tighten constraints on the CKM matrix element Vcs.
  • Extending the calculation to include electromagnetic corrections would test whether the current agreement persists at higher precision.
  • The approach offers a template for lattice studies of inclusive B-meson decays that are relevant for |Vub| determinations.

Load-bearing premise

The chiral and continuum extrapolations together with the integral treatment of all final states capture the full systematic uncertainty without significant missing contributions from higher-order effects or incomplete summation.

What would settle it

A new experimental measurement of the Ds inclusive semileptonic rate that lies outside the combined lattice and experimental error bands.

Figures

Figures reproduced from arXiv: 2604.22201 by Ahmed Elgaziari, Alessandro Barone, Andreas J\"uttner, Ryan Kellermann, Shoji Hashimoto, Takashi Kaneko, Zhi Hu.

Figure 1
Figure 1. Figure 1: FIG. 1 view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Pion-mass dependence for view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Lattice-spacing dependence of our ensembles for each value of view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Same as Fig. 1, but for view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Differential decay rate view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Same as Fig. 2, but for view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: Same as Fig. 3, but for view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Same as Fig. 6, but for view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Same as Fig. 7, but for view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: Same as Fig. 6, but for view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: Same as Fig. 7, but for view at source ↗
read the original abstract

We present results for the inclusive semileptonic $D_s \to X_s \ell\bar\nu$ decay rate from lattice QCD. Chiral and continuum extrapolations are performed using gauge ensembles generated with 2+1 flavours of M\"obius domain-wall fermions. Systematic errors are fully addressed including those from the integral over all possible final states. Our results are in agreement with currently available experimental data, with an error at the few-percent level.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript claims to compute the inclusive semileptonic decay rate Ds → Xs ℓ ν-bar from lattice QCD using 2+1-flavor Möbius domain-wall fermion ensembles. It performs chiral and continuum extrapolations, constructs the hadronic tensor, and handles the sum over all final states X_s via direct integration of correlators. Systematic errors are addressed in a detailed budget, and the result agrees with experimental data at the few-percent level.

Significance. If the result holds, this provides a controlled first-principles lattice determination of an inclusive decay rate, serving as a benchmark for extending such methods to B-meson decays and CKM phenomenology. The explicit hadronic-tensor construction, direct integration for the inclusive sum, and reproducible error budget are strengths that address the stress-test concern on extrapolations and state summation; that concern does not land as a load-bearing issue here.

minor comments (2)
  1. The abstract asserts that systematic errors are fully addressed without a one-sentence indication of the integral treatment over final states; adding this would improve accessibility for readers.
  2. The functional forms and parameters for the chiral and continuum extrapolations should be stated explicitly (e.g., in a dedicated subsection or table) to allow independent assessment of the extrapolation procedure.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive and accurate summary of our work on the inclusive semileptonic Ds to Xs l nu decay rate from lattice QCD. We appreciate the recognition that our chiral and continuum extrapolations, hadronic tensor construction, direct integration over final states, and systematic error budget are strengths, and that potential concerns about extrapolations and state summation do not pose a load-bearing issue. No major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained lattice computation

full rationale

The central result is obtained by direct evaluation of hadronic tensor correlators on 2+1-flavor Möbius domain-wall ensembles, followed by explicit integration over final states X_s and chiral/continuum extrapolation using fit forms applied to the computed lattice data points. No step reduces the target inclusive rate to a parameter fitted against the same experimental decay rate or to a self-citation that itself assumes the result. The comparison to experiment is performed after the lattice prediction is obtained and does not enter the derivation. This is a standard first-principles lattice calculation with no load-bearing self-definitional or fitted-input-called-prediction patterns.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The calculation rests on standard lattice QCD assumptions plus the practical ability to extrapolate the inclusive rate from a finite set of lattice states. No new particles or forces are introduced.

free parameters (2)
  • chiral extrapolation parameters
    Coefficients in the chiral fit to physical pion mass are determined from the data.
  • continuum extrapolation parameters
    Coefficients in the a^2 or higher-order fit to zero lattice spacing.
axioms (2)
  • domain assumption QCD is the correct theory of the strong interaction at these energies
    Standard assumption underlying all lattice QCD work.
  • domain assumption Mobius domain-wall fermions preserve chiral symmetry sufficiently for the extrapolation
    Invoked in the choice of fermion action and error analysis.

pith-pipeline@v0.9.0 · 5393 in / 1440 out tokens · 32749 ms · 2026-05-08T08:41:50.058385+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

41 extracted references · 31 canonical work pages

  1. [1]

    J. Brod, M. Gorbahn, and E. Stamou, Standard-Model Prediction ofϵ K with Manifest Quark- Mixing Unitarity, Phys. Rev. Lett.125, 171803 (2020), arXiv:1911.06822 [hep-ph]

    work page arXiv 2020

  2. [2]

    Aokiet al.(Flavour Lattice Averaging Group (FLAG)), FLAG review 2024, Phys

    Y. Aokiet al.(Flavour Lattice Averaging Group (FLAG)), FLAG Review 2024, (2024), arXiv:2411.04268 [hep-lat]

    work page arXiv 2024

  3. [3]

    J. C. A. Barata and K. Fredenhagen, Particle scattering in Euclidean lattice field theories, Commun. Math. Phys.138, 507 (1991)

    1991

  4. [4]

    Gambino and S

    P. Gambino and S. Hashimoto, Inclusive Semileptonic Decays from Lattice QCD, Phys. Rev. Lett.125, 032001 (2020), arXiv:2005.13730 [hep-lat]

    work page arXiv 2020

  5. [5]

    Bailas, S

    G. Bailas, S. Hashimoto, and T. Ishikawa, Reconstruction of smeared spectral function from Euclidean correlation functions, PTEP2020, 043B07 (2020), arXiv:2001.11779 [hep-lat]

    work page arXiv 2020

  6. [6]

    Inclusive semileptonic decays from lattice QCD: Analysis of systematiceffects.Phys.Rev.D,112(1):014501,2025.arXiv:2504.03358,doi:10.1103/ kltp-1p1f

    R. Kellermann, A. Barone, A. Elgaziari, S. Hashimoto, Z. Hu, A. J¨ uttner, and T. Kaneko, Inclusive semileptonic decays from lattice QCD: analysis of systematic effects, (2025), arXiv:2504.03358 [hep-lat]

    work page arXiv 2025

  7. [7]

    Hansen, A

    M. Hansen, A. Lupo, and N. Tantalo, Extraction of spectral densities from lattice correlators, Phys. Rev. D99, 094508 (2019), arXiv:1903.06476 [hep-lat]

    work page arXiv 2019

  8. [8]

    Gambino, S

    P. Gambino, S. Hashimoto, S. M¨ achler, M. Panero, F. Sanfilippo, S. Simula, A. Smecca, and N. Tantalo, Lattice QCD study of inclusive semileptonic decays of heavy mesons, JHEP07, 083, arXiv:2203.11762 [hep-lat]

    work page arXiv

  9. [9]

    De Santis and C

    A. De Santis and C. F. Groß, Lattice calculation of theD s 7→Xℓ¯νℓ inclusive decay rate: an overview, PoSLA TTICE2024, 238 (2025), arXiv:2502.15519 [hep-lat]

    work page arXiv 2025

  10. [10]

    De Santiset al., Inclusive semileptonic decays of the Ds meson: A first-principles lattice QCD calculation, Phys

    A. De Santiset al., Inclusive semileptonic decays of the Ds meson: A first-principles lattice QCD calculation, Phys. Rev. D112, 054503 (2025), arXiv:2504.06063 [hep-lat]

    work page arXiv 2025

  11. [11]

    De Santiset al., Inclusive Semileptonic Decays of the Ds Meson: Lattice QCD Confronts Experiments, Phys

    A. De Santiset al., Inclusive Semileptonic Decays of the Ds Meson: Lattice QCD Confronts Experiments, Phys. Rev. Lett.135, 121901 (2025), arXiv:2504.06064 [hep-lat]

    work page arXiv 2025

  12. [12]

    Barone, S

    A. Barone, S. Hashimoto, A. J¨ uttner, T. Kaneko, and R. Kellermann, Approaches to inclusive semileptonic B(s)-meson decays from Lattice QCD, JHEP07, 145, arXiv:2305.14092 [hep-lat]

    work page arXiv

  13. [13]

    Chiral fermions from lattice bound- aries,

    Y. Shamir, Chiral fermions from lattice boundaries, Nucl. Phys. B406, 90 (1993), arXiv:hep- lat/9303005

    work page arXiv 1993

  14. [14]

    Axial symmetries in lattice QCD with Kaplan fermions,

    V. Furman and Y. Shamir, Axial symmetries in lattice QCD with Kaplan fermions, Nucl. 31 Phys. B439, 54 (1995), arXiv:hep-lat/9405004

    work page arXiv 1995

  15. [15]

    R. C. Brower, H. Neff, and K. Orginos, The M¨ obius domain wall fermion algorithm, Comput. Phys. Commun.220, 1 (2017), arXiv:1206.5214 [hep-lat]

    work page arXiv 2017

  16. [16]

    Colquhoun, S

    B. Colquhoun, S. Hashimoto, T. Kaneko, and J. Koponen (JLQCD), Form factors of B→πℓν and a determination of —Vub— with M¨ obius domain-wall fermions, Phys. Rev. D106, 054502 (2022), arXiv:2203.04938 [hep-lat]

    work page arXiv 2022

  17. [17]

    Y. Aoki, B. Colquhoun, H. Fukaya, S. Hashimoto, T. Kaneko, R. Kellermann, J. Koponen, and E. Kou (JLQCD), B→D*ℓνℓsemileptonic form factors from lattice QCD with M¨ obius domain-wall quarks, Phys. Rev. D109, 074503 (2024), arXiv:2306.05657 [hep-lat]

    work page arXiv 2024

  18. [18]

    Borsanyiet al.(BMW), High-precision scale setting in lattice QCD, JHEP09, 010, arXiv:1203.4469 [hep-lat]

    S. Borsanyiet al.(BMW), High-precision scale setting in lattice QCD, JHEP09, 010, arXiv:1203.4469 [hep-lat]

    work page arXiv

  19. [19]

    Analytic Smearing of SU(3) Link Variables in Lattice QCD

    C. Morningstar and M. J. Peardon, Analytic smearing of SU(3) link variables in lattice QCD, Phys. Rev. D69, 054501 (2004), arXiv:hep-lat/0311018

    work page Pith review arXiv 2004

  20. [20]

    Tomii, G

    M. Tomii, G. Cossu, B. Fahy, H. Fukaya, S. Hashimoto, T. Kaneko, and J. Noaki (JLQCD), Renormalization of domain-wall bilinear operators with short-distance current correlators, Phys. Rev. D94, 054504 (2016), arXiv:1604.08702 [hep-lat]

    work page arXiv 2016

  21. [21]

    P. A. Boyle (UKQCD), Conserved currents for Mobius Domain Wall Fermions, PoSLA T- TICE2014, 087 (2015)

    2015

  22. [22]

    Nakayama, B

    K. Nakayama, B. Fahy, and S. Hashimoto, Short-distance charmonium correlator on the lattice with M¨ obius domain-wall fermion and a determination of charm quark mass, Phys. Rev. D 94, 054507 (2016), arXiv:1606.01002 [hep-lat]

    work page arXiv 2016

  23. [23]

    Foster and C

    M. Foster and C. Michael (UKQCD), Quark mass dependence of hadron masses from lattice QCD, Phys. Rev. D59, 074503 (1999), arXiv:hep-lat/9810021

    work page arXiv 1999

  24. [24]

    Decay width of light quark hybrid meson from the lattice,

    C. McNeile and C. Michael (UKQCD), Decay width of light quark hybrid meson from the lattice, Phys. Rev. D73, 074506 (2006), arXiv:hep-lat/0603007

    work page arXiv 2006

  25. [25]

    P. A. Boyle, A. Juttner, C. Kelly, and R. D. Kenway, Use of stochastic sources for the lattice determination of light quark physics, JHEP08, 086, arXiv:0804.1501 [hep-lat]

    work page arXiv

  26. [26]

    Boyle, A

    P. Boyle, A. Yamaguchi, G. Cossu, and A. Portelli, Grid: Data parallel c++ mathematical object library

  27. [27]

    Grid: A next generation data parallel C++ QCD library,

    P. Boyle, A. Yamaguchi, G. Cossu, and A. Portelli, Grid: A next generation data parallel C++ QCD library, (2015), arXiv:1512.03487 [hep-lat]. 32

    work page arXiv 2015

  28. [28]

    Yamaguchi, P

    A. Yamaguchi, P. Boyle, G. Cossu, G. Filaci, C. Lehner, and A. Portelli, Grid: OneCode and FourAPIs, PoSLA TTICE2021, 035 (2022), arXiv:2203.06777 [hep-lat]

    work page arXiv 2022

  29. [29]

    Portelli, R

    A. Portelli, R. Abott, N. Asmussen, A. Barone, P. Boyle, and F. E. et al., aportelli/hadrons: Hadrons v1.3 (2022)

    2022

  30. [30]

    Lepage and C

    P. Lepage and C. Gohlke, gplepage/lsqfit: lsqfit version 13.2.4 (2024)

    2024

  31. [31]

    G. P. Lepage, B. Clark, C. T. H. Davies, K. Hornbostel, P. B. Mackenzie, C. Morningstar, and H. Trottier (HPQCD), Constrained curve fitting, Nucl. Phys. B Proc. Suppl.106, 12 (2002), arXiv:hep-lat/0110175

    work page arXiv 2002

  32. [32]

    Lepage, gplepage/corrfitter: corrfitter version 8.2 (2021)

    P. Lepage, gplepage/corrfitter: corrfitter version 8.2 (2021)

    2021

  33. [33]

    Lepage, C

    P. Lepage, C. Gohlke, and D. Hackett, gplepage/gvar: gvar version 13.1.1 (2024)

    2024

  34. [34]

    This work ignores disconnected strange-quark-loop diagrams, and we label thes¯spseudoscalar ηs instead ofηorη ′

  35. [35]

    Sys- tematiceffectsinthelatticecalculationofinclusivesemileptonicdecays

    R. Kellermann, A. Barone, A. Elgaziari, S. Hashimoto, Z. Hu, A. J¨ uttnerc, and T. Kaneko, Systematic effects in the lattice calculation of inclusive semileptonic decays, in41st Interna- tional Symposium on Lattice Field Theory(2024) arXiv:2411.18058 [hep-lat]

    work page arXiv 2024

  36. [36]

    We have confirmed that the corrected amplitude does not affect the predicted finite-volume corrections from our previous work

    The amplitude given here differs from [6], since we found a mistake in our previous analysis. We have confirmed that the corrected amplitude does not affect the predicted finite-volume corrections from our previous work

  37. [37]

    Ablikimet al.(BESIII), Measurement of the absolute branching fraction of inclusive semi- electronicD + s decays, Phys

    M. Ablikimet al.(BESIII), Measurement of the absolute branching fraction of inclusive semi- electronicD + s decays, Phys. Rev. D104, 012003 (2021), arXiv:2104.07311 [hep-ex]

    work page arXiv 2021

  38. [38]

    D. M. Asneret al.(CLEO), Measurement of absolute branching fractions of inclusive semileptonic decays of charm and charmed-strange mesons, Phys. Rev. D81, 052007 (2010), arXiv:0912.4232 [hep-ex]

    work page arXiv 2010

  39. [39]

    Navaset al.(Particle Data Group), Review of particle physics, Phys

    S. Navaset al.(Particle Data Group), Review of particle physics, Phys. Rev. D110, 030001 (2024)

    2024

  40. [40]

    Z. Hu, A. Barone, A. Elgaziari, S. Hashimoto, A. J¨ uttner, T. Kaneko, and R. Kellermann, Study on theP-wave form factors contributing toB s toD s inclusive semileptonic decays from lattice simulations, in41st International Symposium on Lattice Field Theory(2025) arXiv:2501.19284 [hep-lat]

    work page arXiv 2025

  41. [41]

    J¨ uttner, Standard Model tests with smeared experiment and theory, (2026), arXiv:2603.15487 [hep-lat]

    A. J¨ uttner, Standard Model tests with smeared experiment and theory, (2026), arXiv:2603.15487 [hep-lat]. 33

    work page arXiv 2026