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Vectorlike $\tau$ production through leptoquarks

T0 review · 3 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Leptoquarks could dominate vectorlike tau production at LHC.

desk verdict Useful and systematic HL-LHC study of LQ-mediated vectorlike tau production, but the advertised reach rests on an unvalidated near-100% Br(LQ -> tau2 + quark) assumption. read the letter →

arxiv 2508.18047 v1 pith:OFRIHPG3 submitted 2025-08-25 hep-ph hep-ex

Shruti Dubey , Nilanjana Kumar , Tanumoy Mandal , Subhadip Mitra , Rachit Sharma This is my paper · ORCID
classification hep-phhep-ex
keywords vectorlikeleptonsleptoquarksindirectproductionmonoleptonfinalstatedileptonHL-LHCprospectsthird-generationtaupartnerbeyondStandardModel
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

Leptoquarks are colour-charged bosons that normally appear in LHC searches through decays to an ordinary quark and lepton, while vectorlike leptons are usually sought through electroweak pair production. This paper studies the case where the two sectors are coupled: leptoquarks decay almost entirely to a quark and a heavy vectorlike partner of the tau, so the copious QCD-like production of leptoquarks becomes a production channel for the heavy lepton. The authors show that this indirect, t-channel mechanism can overwhelm conventional electroweak production when the leptoquark–quark–VLL coupling is of order 0.3–1, and that with the full HL-LHC dataset of $3~\mathrm{ab}^{-1}$ the mono-lepton and di-lepton final states can exclude or discover the framework for leptoquark masses up to several TeV. If right, this links two otherwise separate search programmes and exposes a parameter region that existing leptoquark bounds, derived from Standard Model decay modes, do not cover.

What carries the argument

The carrier of the argument is the coupling of a leptoquark (a colour-charged boson connecting a quark and a lepton) to a third-generation singlet vectorlike tau $\tau_2$. For such a state, the possible LQ species are the scalars $S_1$, $\widetilde S_1$, $R_2$ and the vectors $U_1$, $\widetilde U_1$, $V_2$, each with a renormalisable interaction listed in Table I. The mechanism is the coupling-power hierarchy among the production modes: pair production (PP) is essentially coupling-independent, single production (SP) and the indirect–QED interference (II) scale as $\lambda^2$, and indirect production (IP) via t-channel LQ exchange scales as $\lambda^4$, so IP wins at large $\lambda$ and high LQ mass. The paper assumes $M_{\ell q} > M_{\tau_2}$, so the LQ decays on shell to $\tau_2$ plus a quark with branching ratio near 100%.

What would settle it

Measure the leptoquark branching fractions: if the decay to an ordinary charged lepton and a quark, $BR(\ell q \to \ell q)$, is anywhere near the size of the decay to $\tau_2$ plus a quark rather than being smaller by an order of magnitude or more, the predicted mono- and di-lepton signals and the derived HL-LHC contours do not hold. A direct null result from a dedicated HL-LHC search in the mass–coupling region the paper maps as a $5\sigma$ discovery would also falsify the enhancement claim.

Watch

Extended reading notes

Core claim

The central claim is stated directly in the abstract: LQ-mediated processes enhance VLL production at the LHC. Concretely, when a leptoquark couples to a first-generation quark and a weak-singlet vectorlike tau $\tau_2$, t-channel leptoquark exchange between two initial-state quarks produces $\tau_2$ pairs with a cross section proportional to the fourth power of the coupling $\lambda$; for $\lambda$ in the range roughly 0.3 to 1, this indirect production dominates the electroweak $Z/\gamma^*$ channel at large leptoquark mass. The interference between the two amplitudes is destructive for some leptoquark species and constructive for others, which shifts the reach, and the paper works through all six singlet-VLL-capable leptoquarks. With the $\tau_2$ decaying to $W\nu$ or $Z\tau$, the mono-lepton final state has slightly better sensitivity than the di-lepton final state, and the HL-LHC can give $2\sigma$ exclusion or $5\sigma$ discovery contours in the mass–coupling plane up to several TeV.

Load-bearing premise

The load-bearing premise is that the leptoquark decays to a vectorlike tau plus a quark with nearly 100% branching fraction, which in turn requires the leptoquark's couplings to ordinary quark–lepton pairs to be negligible.

Editorial extensions

If this is right

  • The mono-lepton channel is the most sensitive single search, so lepton-plus-jets-plus-missing-energy analyses are the first place to look for this class of models.
  • For order-one couplings, the HL-LHC reach extends to leptoquark masses of several TeV, well beyond the roughly 1.5–2 TeV limits that assume leptoquarks decay directly to Standard Model fermions.
  • Existing leptoquark mass limits do not constrain the parameter region where leptoquarks decay mainly to vectorlike taus, so that region is currently unexplored and should be searched with VLL-plus-jet topologies.
  • The $\lambda^4$ scaling of indirect production makes the production-rate dependence on coupling qualitatively different from electroweak production, providing a kinematic handle to separate the two mechanisms if a signal appears.
  • The constructive-interference leptoquark species (notably $\widetilde U_1$) give a stronger reach than their destructive-interference partners, so searches are best targeted at those states first.

Reading between the lines

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

  • Reading beyond the paper: if the enhancement is real, recasting old leptoquark limits from SM-decay searches will miss the VLL-decay region entirely; dedicated VLL-plus-jet searches are needed to cover it.
  • The $\lambda^4$ dependence of indirect production suggests a way to extract the coupling: measuring $\tau_2$-pair production at two LQ masses, or comparing the IP-dominated high-mass rate with the PP-dominated low-mass rate, could constrain $\lambda$ without relying on the assumed branching ratio for the decay.
  • The same mechanism should transfer to other flavours, such as a vectorlike muon partner coupled to second-generation quarks; the parton luminosities and backgrounds would shift, but the enhancement logic is flavour-generic.
  • If the $\tau_1$–$\tau_2$ mixing is smaller than the value implied by an SM-tau-sized off-diagonal term, the decays become displaced, turning these prompt signatures into long-lived-particle searches; the paper notes this possibility without quantifying it.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 6 minor

Summary. The paper proposes a scenario in which a heavy vectorlike tau (τ2) is produced at the LHC through interactions with leptoquarks (LQs) that couple preferentially to first-generation quarks and the VLL. It considers the six scalar/vector LQ representations that can couple to a singlet VLL, computes pair, single, indirect (t-channel) and interference contributions to τ2 pair production, and performs a Delphes-based cut-and-count analysis of mono-lepton and di-lepton final states at the HL-LHC (14 TeV, 3 ab−1). The main output is a set of 2σ exclusion and 5σ discovery contours in the M_LQ–λ and M_LQ–M_τ2 planes, obtained under the assumptions that LQ couplings to SM quarks and leptons are negligible and that Br(LQ→τ2 q) ≈ 1. The central claim is that t-channel LQ exchange can make τ2 pair production much larger than the conventional electroweak production for O(1) couplings, opening a new probe of both LQs and VLLs.

Significance. The framework is timely and the proposed signatures are concrete and falsifiable. If the branching-ratio assumption is justified, the analysis demonstrates that the HL-LHC can probe LQ masses up to several TeV and coupling values well below the current sensitivity of standard LQ searches. The authors provide a reproducible simulation chain (FeynRules/MadGraph/Pythia/Delphes), report detailed cutflows and background cross sections, and make explicit predictions that can be tested by the ATLAS and CMS collaborations. The main weakness is the lack of a UV derivation or a dedicated simulation of the assumed LQ branching ratios; this limits the robustness of the claimed reach but is addressable in a revision.

major comments (3)
  1. [Sec. II and Sec. III.A] The near-100% branching ratio for LQ→τ2 q is assumed (Sec. II, after Table I, and Sec. III.A, page 4) without a UV motivation. The PP and SP contributions in Eq. (8) and the low-mass parts of Figs. 4 and 5 depend directly on this Br, and the only numerical control offered in Sec. V (an ℓqqℓ coupling ≲ 0.3 for <10% contamination in the dilepton channel of eU1/eS1) is a branching-ratio estimate rather than a signal-region simulation; it does not cover the mono-lepton channel, does not account for Br²/Br suppression of the PP/SP signals, and does not include the different kinematics of LQ→SM lepton+jet events. Please either embed the model in an explicit flavour structure that guarantees the hierarchy or simulate both decay modes simultaneously and propagate the branching fraction through Eq. (8) into the contours.
  2. [Sec. III, page 4, and Fig. 4] The signal cross sections for SP, IP, and II are used at LO, and the only higher-order correction applied is a K-factor of 1.58 for sLQ pair production; vLQ PP is also left at LO. Since the vertical shaded bounds in Fig. 4 are derived from PP alone with x/y→0, the vLQ PP treatment directly affects the claimed model-independent mass limits. Please quantify the NLO uncertainty on vLQ PP (and ideally on SP/IP/II) or show that the contours are insensitive to a conservative K-factor range.
  3. [Sec. III.A and Fig. 4] The scans extend to λ = 3.5, where the LQ width from the τ2 q coupling alone is Γ/M ∼ λ²/(16π) ≈ 0.24, so the narrow-width approximation used for the on-shell LQ decays in PP and SP is not valid and the coupling is in a nonperturbative regime. The authors should either truncate the scan at a perturbative value (e.g., λ ≲ 1 or at least specify the width used in the simulation), include finite-width/off-shell effects, or explicitly demonstrate that the large-λ contours are controlled by the t-channel IP contribution and are therefore insensitive to the NWA.
minor comments (6)
  1. [Sec. IV, Table III] The text states that events are required to contain at least one AK4 jet and at least one fatjet, but this requirement is not listed among the cuts C1–C4 in Table III; please include it explicitly or clarify that it is part of the preselection.
  2. [Table IV] The caption uses parentheses to denote vLQ numbers but does not specify which vLQ species is used (e.g., U1 for S1, eU1 for eS1); please make the association explicit.
  3. [Table I] The coupling notation (e.g., y^RR_{10,13}) is not defined in the table caption; a brief explanation of subscripts/superscripts would improve readability.
  4. [Sec. V, last paragraph] The 10% contamination statement would benefit from the explicit formula it comes from; as written, it is a single unquantified number that the reader cannot verify.
  5. [Introduction, page 1] Reference [60] is cited as having considered a 4321 benchmark with VLL production via an off-shell LQ, but the listed reference is a CMS experimental search for pair-produced VLLs; this citation appears incorrect and should be checked.
  6. [Eq. (8), Sec. V] Since σII is negative for destructive interference (as noted for S1 and U1), the text should state explicitly that σII is a signed quantity.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: the HL-LHC prospects are Monte Carlo predictions from an explicit Lagrangian; the self-citations are technical and not load-bearing.

full rationale

The paper's derivation chain is self-contained. It begins from an explicit Lagrangian (Eq. (1), Table I) with a free LQ–τ2–quark coupling, enumerates the PP, SP, IP and II production modes and the τ2 decay chains, and computes signal and background event rates with externally maintained tools (FeynRules, MadGraph5, Pythia8, Delphes3, FastJet) using the fixed selection criteria of Table III and the Asimov significance formula of Eq. (9). No parameter is fitted to the data that the prediction is supposed to explain: the exclusion and discovery contours in Figs. 4 and 5 are direct functions of the assumed masses, coupling, and Br(LQ→τ2 q) ≈ 1. The assumptions that LQ couplings to SM quark–lepton pairs are negligible and that the LQ→τ2 q branching ratio is nearly 100% (Sec. II after Table I; Sec. III A) are free model inputs, not outputs of the analysis; their fragility is a model-validity concern, not circularity. The Sec. V estimate that ℓqqℓ couplings ≲ 0.3 keep contamination below 10% is a consistency check rather than a fitted prediction. The self-citations (for example, Ref. [53] for coupling nomenclature and Refs. [49,54] for the production-mode decomposition) are technical references and are not load-bearing, because the relevant matrix elements and efficiencies are recomputed here with MadGraph and Delphes. No uniqueness theorem or prior result is invoked to force the model choice or the cuts. Thus no step in the derivation reduces, by the paper's own equations or by self-citation, to its own input.

Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

The central results depend on the scanned masses and coupling, on the hand-chosen mixing and kappa, and on the assumptions that LQ decays are dominated by the VLL quark mode and that the VLL decays promptly. These are the inputs the reader must grant to accept the projected contours.

free parameters (5)
  • LQ mass M_lq (e.g., M_S1, M_U1) = scanned from ~1 to 7 TeV
    Central mass parameter of the BSM sector; scanned in Figs. 4 and 5.
  • VLL mass M_tau2 = scanned from 300 to 900 GeV
    Mass of the third-generation vectorlike tau partner; scanned in Fig. 5.
  • LQ-VLL-quark coupling lambda (y or x) = scanned from 0 to 3.5 (Fig. 4)
    Coupling controlling LQ single production, indirect production, and interference; the dominant IP term scales as lambda^4.
  • VLL off-diagonal mass term / mixing angle = set to order m_tau
    Chosen so that tau2 decays promptly; the mixing parameters (theta_L, theta_R) determine the W/Z/h branching fractions and are fixed by hand in the simulation.
  • vLQ gluon coupling kappa = 1
    Chosen for all vLQ results; the text argues the IP-dominated signal is largely insensitive to this choice.
assumptions (5)
  • domain assumption CKM and PMNS mixing matrices are approximated as identity
    Stated in Sec. II; justified for first-generation quark-initiated processes and because neutrino flavor is not tagged at LHC. It simplifies flavor structure but ignores possible off-diagonal effects.
  • domain assumption LQ couplings to SM quark-lepton pairs are negligible
    Stated in Sec. II and Sec. III A; this defines the scenario where LQs decay to VLLs with ~100% BR. If false, the signal changes.
  • domain assumption Mass hierarchy M_lq > M_tau2 and BR(LQ -> tau2 q) ~ 100%
    Stated in Sec. III A; needed for the LQ to act as a VLL production source.
  • domain assumption The VLL decay is prompt, with off-diagonal mass term of order m_tau
    Stated in Sec. III (Displaced vertex paragraph); if the term were much smaller, the VLL would be long-lived and the signatures would be displaced vertices or missing energy, not prompt mono/di-leptons.
  • ad hoc to paper Narrow-width approximation and perturbativity hold up to lambda=3.5
    Assumed implicitly in the use of on-shell production and decay in MadGraph; for the largest scanned couplings the LQ width becomes sizeable and the approximation may break down. This is not discussed in the text.

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Cite this review

Pith. "Pith review of Vectorlike $\tau$ production through leptoquarks." pith.science (2026). https://pith.science/paper/OFRIHPG3

@misc{pith2026250818047,
  author       = {Pith},
  title        = {Pith review of: Vectorlike $\tau$ production through leptoquarks},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/OFRIHPG3}},
  note         = {Machine review of arXiv:2508.18047}
}
read the original abstract

Numerous phenomenological studies and collider searches have probed for the existence of new physics by looking for signatures of leptoquarks (LQs) or vectorlike leptons (VLLs). We consider a new possibility that can arise in theories with enhanced gauge symmetries: both particles are simultaneously present, and LQ-mediated processes enhance the VLL production at the LHC. We study the effect of non-standard interactions of LQs that contribute to novel production and decay signatures. We obtain the HL-LHC prospects of this framework in the mono-and di-lepton final states, and discuss other potentially relevant channels.

Figures

Figures reproduced from arXiv: 2508.18047 by the authors.

Figure 1
Figure 1. FIG. 1. Mono- and di lepton final states from [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Cross sections for direct and indirect production modes of sLQs ( [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Normalised distributions of kinematic variables for the signal and two dominant backgrounds in monolepton [(a)–(f)] and [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4. The [PITH_FULL_IMAGE:figures/full_fig_p010_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. The [PITH_FULL_IMAGE:figures/full_fig_p010_5.png]

Review history (2 revisions) →

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Reference graph

Works this paper leans on

98 extracted references · 8 canonical work pages

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    In our analysis, we consider the following two de- cay chains

    Monolepton A monolepton final state (ℓ =e,µ) can arise from the de- cay ofτ2 pairs produced through different LQ production modes. In our analysis, we consider the following two de- cay chains. pp→    ℓqℓq ℓqτ2 (+j) τ2τ2 (+j)   →    (jτ 2)(jτ 2) (jτ 2)τ2 (+j) τ2τ2 (+j)    → ντW∓ h ντW± ℓ +jet(s) τℓZhνℓW± h +jet(s) . In the first chain, bothτ2 ...

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    These arise primarily from two dominant decay chains

    Dilepton In the dilepton channel, we combine theee, µµ, andeµ modes. These arise primarily from two dominant decay chains. pp→    ℓqℓq ℓqτ2 (+j) τ2τ2 (+j)   →    (jτ 2)(jτ 2) (jτ 2)τ2 (+j) τ2τ2 (+j)    → ντ2W∓ ℓ ντ2W± ℓ +jet(s) ντ2W∓ ℓ τ∓ ℓ Zh +jet(s) . In the first case, bothτ2 decay intoW +ν, with bothW bosons subsequently decaying leptonica...

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    The relevant production and decay chains are as follows

    Trilepton For trilepton final states, bothτ2 can decay either symmet- rically intoZ +ν or asymmetrically, with one decaying into W +ν and the other intoZ +ν. The relevant production and decay chains are as follows. pp→    ℓqℓq ℓqτ2 (+j) τ2τ2 (+j)   →    (jτ 2)(jτ 2) (jτ 2)τ2 (+j) τ2τ2 (+j)    → ντ2W∓ ℓ τ∓ hZℓ +jet(s). Although the cross sectio...

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    The relevant production and decay chains are as follows

    Quadlepton The quadlepton final states, consisting of four charged lep- tons, can originate either from a symmetric decay, where both τ2 decay intoZ +τ, or from an asymmetric config- uration in which oneτ2 decays intoW +ν and the other intoZ +τ. The relevant production and decay chains are as follows. pp→    ℓqℓq ℓqτ2 (+j) τ2τ2 (+j)   →    (jτ 2)...

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    Five-lepton final states can arise exclusively from the symmetric decay of bothτ2 particles via the Z + τ channel

    Five and six leptons Final states with charged-lepton multiplicity greater than four are strongly suppressed by their small cross sections and are therefore extremely challenging to observe at col- liders. Five-lepton final states can arise exclusively from the symmetric decay of bothτ2 particles via the Z + τ channel. The representative production and de...

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    This results in a final state characterised by one or more fat jets accompanied by missingtransverseenergy, butnoisolatedchargedleptons

    Fatjet plus missing energy In this scenario, theτ2 particles may decay either symmet- rically or asymmetrically, with all subsequent decay prod- ucts undergoing hadronic decays. This results in a final state characterised by one or more fat jets accompanied by missingtransverseenergy, butnoisolatedchargedleptons. The relevant production and decay processe...

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    The decay width is controlled by the off-diagonal term in the mass matrix

    Displaced vertex The VLL can also give rise to displaced vertex signatures if its decay width is sufficiently small. The decay width is controlled by the off-diagonal term in the mass matrix. In this work, we assume this term to be of the order of the SM τ lepton mass. However, if it were instead of the order of the electron mass, theτ2 could produce dis-...

    2023

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    After EWSB, withH→ (0, (v +h)/ √ 2)T, this becomes −LY = vλτ√ 2τLτR + vωτ√ 2τLτ′ R +Mτ′τ′ Lτ′ R +h λτ√ 2τLτR + ωτ√ 2τLτ′ R +h.c

    Yukawa sector and mass matrix The Yukawa Lagrangian before EWSB is −LY =λτL3LHτR +ωτL3LHτ′ R +Mτ′τ′ Lτ′ R +h.c. After EWSB, withH→ (0, (v +h)/ √ 2)T, this becomes −LY = vλτ√ 2τLτR + vωτ√ 2τLτ′ R +Mτ′τ′ Lτ′ R +h λτ√ 2τLτR + ωτ√ 2τLτ′ R +h.c. This yields the following mass matrix with a non-diagonal mass term: Lmass =− τL τ′ L   λτv√ 2 ωτv√ 2 0 Mτ′   τR...

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    DenotingsL,R≡ sinθL,R andcL,R≡ cosθL,R, the rotations are τX τ′ X = cX −sX sX cX τ1X τ2X

    Mass diagonalisation and mixing angles The physical states are obtained by diagonalising the mass matrix via a bi-unitary transformation. DenotingsL,R≡ sinθL,R andcL,R≡ cosθL,R, the rotations are τX τ′ X = cX −sX sX cX τ1X τ2X . HereX =L/R and ,{τ1X,τ 2X} are the mass eigensta...

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