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arxiv: 2606.28717 · v1 · pith:ZFRMP4UAnew · submitted 2026-06-27 · ✦ hep-ph

Vector-Like Lepton Pair Production With Polarized Beams at Linear Colliders:Sensitivity Projections and Chirality Observables

Haroon Sagheer , Ijaz Ahmed , Jamil Muhammad This is my paper

Pith reviewed 2026-06-30 09:50 UTC · model grok-4.3

classification ✦ hep-ph
keywords vector-like leptonspolarized beamslinear colliderspair productionchirality observableselectroweak structureCLICILC
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The pith

Polarized beams distinguish vector-like lepton doublets via charged-neutral rate and asymmetry differences at linear colliders.

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

The paper calculates tree-level cross sections for pair production of a vector-like lepton doublet in polarized e+e- collisions at CLIC and ILC benchmarks. It compares the charged channel, which receives both photon and Z contributions, against the neutral channel under LR, RL, LL, and RR polarization settings. Observables including an absolute rate discriminator and an observed left-right asymmetry are constructed to quantify the separation. A sympathetic reader would care because these quantities supply a way to probe the electroweak representation of any new leptons rather than relying solely on overall production rates. The projections show that the separation remains stable across the benchmark masses and luminosities.

Core claim

In the LR polarization configuration the charged-channel cross sections reach 23.32 fb and 20.28 fb at CLIC and 188.83 fb and 129.04 fb at ILC for the two benchmark masses, yielding an absolute discriminator D_sigma of approximately 0.546 at CLIC and 0.542 at ILC together with a stable observed asymmetry separation |Delta A_LR^obs| of 0.45-0.46; the corresponding statistical significance Z_A scales as the square root of total luminosity times visible fraction under an equal LR/RL split, showing that beam polarization supplies a representation-sensitive diagnostic of vector-like lepton doublets.

What carries the argument

The absolute discriminator D_sigma and observed asymmetry separation |Delta A_LR^obs| built from polarized production cross sections in the LR and RL configurations.

If this is right

  • The charged channel consistently exceeds the neutral channel because it receives both photon and Z exchange.
  • The visible-fraction requirement f_vis^95 keeps the sensitivity projection independent of any particular decay selection.
  • The statistical projection Z_A reaches sizeable values that scale as sqrt(L_tot f_vis) under equal LR/RL luminosity sharing.
  • Polarization configurations therefore supply a diagnostic of the doublet representation beyond a simple rate increase.

Where Pith is reading between the lines

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

  • The same polarization observables could be applied to other vector-like fermion representations or to models with additional mixing.
  • Experimental analyses at future colliders could fold these discriminators directly into search strategies for new leptons.
  • If decay-channel information is later incorporated, the separation between charged and neutral modes may sharpen further.

Load-bearing premise

Tree-level Standard Model gauge boson exchange dominates production with no significant higher-order corrections or new-physics interference, and the visible fraction can be applied independently of specific decay channels.

What would settle it

A measurement of the charged and neutral cross sections under LR polarization at 3 TeV showing D_sigma near zero or |Delta A_LR^obs| far below 0.45 would falsify the claimed separation power.

Figures

Figures reproduced from arXiv: 2606.28717 by Haroon Sagheer, Ijaz Ahmed, Jamil Muhammad.

Figure 1
Figure 1. Figure 1: FIG. 1: Unpolarized production cross sections as a function of the common VLL mass [PITH_FULL_IMAGE:figures/full_fig_p014_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Production cross sections as a function of [PITH_FULL_IMAGE:figures/full_fig_p015_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: CLIC production cross-section contours at [PITH_FULL_IMAGE:figures/full_fig_p017_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Same as [PITH_FULL_IMAGE:figures/full_fig_p017_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: ILC production cross-section contours at [PITH_FULL_IMAGE:figures/full_fig_p018_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Same as [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: Projected visible-fraction requirement [PITH_FULL_IMAGE:figures/full_fig_p021_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Projected visible-fraction requirement [PITH_FULL_IMAGE:figures/full_fig_p022_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Absolute charged–neutral rate discriminator [PITH_FULL_IMAGE:figures/full_fig_p024_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: Absolute charged–neutral rate discriminator [PITH_FULL_IMAGE:figures/full_fig_p025_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: Observed left–right polarization asymmetries and their charged–neutral separation for the bench [PITH_FULL_IMAGE:figures/full_fig_p027_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: Production-level statistical separation [PITH_FULL_IMAGE:figures/full_fig_p029_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13: Effective luminosity ratio [PITH_FULL_IMAGE:figures/full_fig_p034_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIG. 14: Effective polarization [PITH_FULL_IMAGE:figures/full_fig_p034_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: FIG. 15: Observed left-right asymmetry maps for CLIC at [PITH_FULL_IMAGE:figures/full_fig_p035_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: FIG. 16: Observed left-right asymmetry maps for CLIC at [PITH_FULL_IMAGE:figures/full_fig_p035_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: FIG. 17: Observed left-right asymmetry maps for ILC at [PITH_FULL_IMAGE:figures/full_fig_p036_17.png] view at source ↗
Figure 18
Figure 18. Figure 18: FIG. 18: Observed left-right asymmetry maps for ILC at [PITH_FULL_IMAGE:figures/full_fig_p036_18.png] view at source ↗
read the original abstract

We study pair production of a vector-like lepton doublet at polarized future linear colliders, focusing on the charged and neutral channels $e^+e^-\to\tau^\prime\bar{\tau}^\prime$ and $e^+e^-\to\nu^\prime\bar{\nu}^\prime$. The benchmark masses are $M_{\rm VLL}=1000,1200~{\rm GeV}$ at CLIC with $\sqrt{s}=3~{\rm TeV}$ and $M_{\rm VLL}=390,460~{\rm GeV}$ at ILC with $\sqrt{s}=1~{\rm TeV}$. Using the realistic polarization configurations LR$=(-0.8,+0.3)$, RL$=(+0.8,-0.3)$, LL$=(-0.8,-0.3)$, and RR$=(+0.8,+0.3)$, we evaluate tree-level production-level cross sections and construct observables designed to test the electroweak structure of the doublet. The charged channel is consistently larger than the neutral channel because it receives both photon and $Z$ exchange. In the LR configuration, the charged-channel rates reach $23.32$ and $20.28~{\rm fb}$ at CLIC, and $188.83$ and $129.04~{\rm fb}$ at ILC, for the two benchmark masses at each collider. We express rate reach through the projected visible-fraction requirement $f_{\rm vis}^{95}=3/(\mathcal{L}\sigma_{\rm prod})$, keeping the result independent of a specific decay selection. To quantify charged--neutral separation we use the absolute discriminator $D_\sigma$, which reaches about $0.546$ at CLIC and $0.542$ at ILC in the LR benchmark. We also find a stable observed asymmetry separation, $|\Delta A_{LR}^{\rm obs}|\simeq 0.45$--$0.46$, between the charged and neutral channels. The corresponding production-level statistical projection gives sizeable $Z_A$ values for the benchmark luminosities, scaling as $\sqrt{\mathcal{L}_{\rm tot}f_{\rm vis}}$ under an equal LR/RL luminosity split. These results demonstrate that the beam polarization can provide a representation-sensitive diagnostic of vector-like lepton doublets, beyond a simple rate enhancement.

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

1 major / 0 minor

Summary. The manuscript computes tree-level cross sections for pair production of a vector-like lepton doublet in the charged (e+e−→τ′τ′) and neutral (e+e−→ν′ν′) channels at polarized ILC and CLIC, using benchmark masses and the polarization configurations LR, RL, LL, RR. It defines the absolute discriminator D_σ and the observed left-right asymmetry difference |ΔA_LR^obs| to quantify separation between channels, projects statistical significance via f_vis^95=3/(ℒσ_prod), and concludes that polarization supplies a representation-sensitive diagnostic beyond simple rate enhancement.

Significance. If the production-level separation survives realistic detector-level efficiencies, the work supplies concrete, falsifiable projections showing how beam polarization can probe the electroweak quantum numbers of vector-like leptons at future colliders, with the use of realistic polarization values and the attempt to keep results decay-channel independent as methodological strengths.

major comments (1)
  1. [Abstract] Abstract, final paragraph: the claim that D_σ≈0.546 (CLIC) / 0.542 (ILC) and |ΔA_LR^obs|≃0.45–0.46 remain observable discriminants after applying the same f_vis^95 to both channels is not established by the production-level calculation. The charged channel proceeds via γ/Z exchange with τ′→W/Z/h+τ decays, while the neutral channel is Z-only with ν′→W+ν decays; these yield different visible final states, missing-energy signatures, and background-rejection efficiencies, so the quoted separation may not survive channel-specific selection cuts.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of our work's significance and for the constructive major comment. We respond point-by-point below.

read point-by-point responses

  1. Referee: [Abstract] Abstract, final paragraph: the claim that D_σ≈0.546 (CLIC) / 0.542 (ILC) and |ΔA_LR^obs|≃0.45–0.46 remain observable discriminants after applying the same f_vis^95 to both channels is not established by the production-level calculation. The charged channel proceeds via γ/Z exchange with τ′→W/Z/h+τ decays, while the neutral channel is Z-only with ν′→W+ν decays; these yield different visible final states, missing-energy signatures, and background-rejection efficiencies, so the quoted separation may not survive channel-specific selection cuts.

    Authors: We agree that the quoted numerical separation is computed at the production level only and that channel-specific detector efficiencies (arising from different decay modes and signatures) are not simulated. The manuscript deliberately restricts itself to tree-level production cross sections and introduces the common f_vis^95 parameter precisely to express reach in a decay-independent manner. The discriminants D_σ and |ΔA_LR^obs| are therefore defined from the polarized production rates, with statistical projections shown under the assumption of equal f_vis for both channels as a benchmark. We will revise the abstract (and add a clarifying sentence in the introduction) to state explicitly that the results are production-level projections and that realistic, channel-dependent efficiencies lie outside the present scope. This addresses the referee's concern without altering the core production-level analysis. revision: partial

Circularity Check

0 steps flagged

No circularity; direct tree-level SM computations with explicit assumptions

full rationale

The paper computes production cross sections at tree level from SM gauge boson exchanges (photon and Z for charged channel, Z-only for neutral) under specified polarization configurations, then constructs D_σ and ΔA_LR^obs directly from those rates. f_vis^{95} = 3/(ℒ σ_prod) is an explicit derived expression presented to keep results independent of decay details; no parameter fitting, self-referential prediction, or reduction of outputs to inputs occurs. No self-citations, uniqueness theorems, or ansatzes are invoked in the provided text. The derivation chain is self-contained against external SM couplings and does not reduce by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard assumptions of tree-level electroweak production for vector-like fermions; no free parameters are fitted, no new entities are postulated, and the only background assumptions are the SM gauge interactions and the doublet representation.

axioms (1)
  • domain assumption Tree-level production via SM photon and Z exchange dominates for the vector-like lepton doublet
    Invoked throughout the cross-section evaluation and observable construction in the abstract.

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