arxiv: 2510.07397 · v2 · submitted 2025-10-08 · ✦ hep-ph

Slepton pair production at next-to-leading power

Lasse Lorentz Braseth , Tore Klungland , Are Raklev This is my paper

Pith reviewed 2026-05-18 09:10 UTC · model grok-4.3

classification ✦ hep-ph

keywords slepton pair productionthreshold resummationnext-to-leading powerleading logarithmic accuracysupersymmetryhadron collidersscale uncertaintiesFCC-hh

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The pith

Next-to-leading power contributions are significant for slepton pair production near threshold

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

The paper evaluates the next-to-leading power contribution in the threshold variable for slepton pair production at leading logarithmic accuracy. It finds these terms can be comparable in magnitude to the next-to-leading logarithmic corrections at leading power. This matters for supersymmetry searches because slepton production cross sections enter limits on new particles at hadron colliders. The calculation also shows that prior results underestimated the theoretical scale uncertainty for large slepton masses. Updated predictions are given for a future 85 TeV collider.

Core claim

We evaluate the next-to-leading power contribution in the threshold variable to leading logarithmic accuracy. We find that the next-to-leading power contributions can be significant compared to the next-to-leading logarithmic terms at leading power, and that existing calculations underestimate the scale error for large slepton masses. We include results for a potential future FCC-hh machine at √s=85 TeV.

What carries the argument

Next-to-leading power terms in the threshold expansion of the partonic cross section, resummed to leading logarithmic accuracy. These capture subleading powers of the threshold variable that affect the size of higher-order corrections.

If this is right

Next-to-leading power terms should be included in precision calculations of slepton production cross sections.
Scale variation uncertainties grow larger than those estimated from leading power alone when slepton masses are high.
Predictions for slepton searches at the LHC and future colliders require revision to reflect the new contributions.
Results for an 85 TeV FCC-hh machine provide updated benchmarks for experimental planning.

Where Pith is reading between the lines

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

The same next-to-leading power treatment could apply to other heavy supersymmetric particle pair productions such as squarks or gluinos.
Revised cross sections might alter the reach of current LHC analyses in setting slepton mass limits.
Direct comparison with Monte Carlo generators or future exact higher-order calculations could test the size of these power corrections.

Load-bearing premise

The standard threshold resummation formalism extends consistently to next-to-leading power while remaining under control at leading logarithmic accuracy.

What would settle it

A complete fixed-order calculation of slepton pair production at high enough perturbative order for large slepton masses would show whether the added next-to-leading power resummed terms match the exact result.

read the original abstract

Near threshold, cross sections for the production of heavy particles are sensitive to large logarithmic terms, which must be resummed to all orders in perturbation theory. Current state-of-the art calculations for inclusive slepton pair production at hadron colliders has focused on higher-order logarithms in the leading power of the threshold variable. Here, we evaluate the next-to-leading power contribution in the threshold variable to leading logarithmic accuracy. We find that the next-to-leading power contributions can be significant compared to the next-to-leading logarithmic terms at leading power, and that existing calculations underestimate the scale error for large slepton masses. We include results for a potential future FCC-hh machine at $\sqrt{s}=85$ TeV.

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.

Desk Editor's Note private letter to a colleague

The paper extends threshold resummation for slepton pair production to next-to-leading power at leading log and claims these terms affect scale uncertainties for heavy masses.

read the letter

The main thing to know is that this paper calculates the next-to-leading power corrections in the threshold limit for slepton pair production at leading logarithmic accuracy. They find these terms can be significant relative to the next-to-leading logs at leading power and that prior calculations underestimate the scale variation for large slepton masses. They also give results for a future 85 TeV collider. This is new because the previous state of the art stayed within leading power. The authors take the standard resummation approach and push it to capture the next power in the threshold variable. Numerically, they show the impact on cross sections and uncertainties, which is the useful part of the work. The paper does well at highlighting a potential shortcoming in existing predictions for supersymmetry searches. It is a targeted extension rather than a complete overhaul. A soft spot is the limited order: leading log at next-to-leading power may not fully control the expansion when masses are large. There is a risk that unaccounted higher power or higher log terms could change the relative importance or the size of the scale error bands. Since the abstract gives no derivation or tables, it is difficult to assess how well they handled possible contributions from next-to-soft effects or different parton channels. The stress test concern about perturbative control seems relevant here and would need checking in the full text. This is for collider phenomenologists who need accurate predictions for heavy particle production near threshold. Someone working on SUSY or similar models at the LHC or future machines might want to see these numbers. I think the paper deserves peer review. It has a concrete new calculation with numerical consequences, so referees can evaluate the technical details and decide on the strength of the claims.

Referee Report

2 major / 2 minor

Summary. The paper computes next-to-leading power (NLP) contributions in the threshold variable for slepton pair production at hadron colliders, resummed to leading logarithmic (LL) accuracy. It reports that these NLP terms are numerically significant relative to next-to-leading logarithmic (NLL) terms at leading power (LP), that prior LP-only calculations underestimate scale uncertainties especially at large slepton masses, and provides predictions including for a future FCC-hh collider at 85 TeV.

Significance. If the central result holds, the work demonstrates that NLP threshold effects must be accounted for to obtain reliable perturbative predictions and uncertainty estimates for heavy particle production. This strengthens the case for including sub-leading power corrections in precision phenomenology for BSM searches at current and future hadron colliders, and supplies concrete numerical evidence that scale variation bands from LP-only resummation are too narrow.

major comments (2)

[Abstract and formalism section (likely §2–3)] The central numerical claim (NLP terms significant vs. NLL at LP, and underestimation of scale error at large slepton masses) rests on the assumption that the standard threshold resummation formalism extends consistently to NLP while remaining under perturbative control at LL accuracy. The manuscript does not provide an explicit check or bound on residual O(1-z) or higher-power mixing from next-to-soft gluons or virtual diagrams in the soft/collinear functions; without this, the relative size of the NLP piece and the resulting scale bands could shift. This is load-bearing for the strongest claim in the abstract.
[Numerical results section (likely §4)] Table or figure showing the comparison of NLP vs. NLL contributions (and scale variation bands) for large slepton masses: the reported significance of NLP relies on a specific choice of scale variation; it is unclear whether the bands include the full NLP-induced variation or only the LP part, which directly affects the claim that existing calculations underestimate the scale error.

minor comments (2)

[Introduction] Notation for the threshold variable and the precise definition of 'leading logarithmic accuracy at NLP' should be stated explicitly in the introduction to avoid ambiguity with standard LP NLL terminology.
[Results for FCC-hh] The FCC-hh results at 85 TeV are presented without a dedicated discussion of the parton luminosity uncertainties or PDF choice; adding a brief statement on this would improve clarity for readers interested in future collider projections.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and have revised the paper to incorporate additional clarifications and checks as suggested.

read point-by-point responses

Referee: The central numerical claim (NLP terms significant vs. NLL at LP, and underestimation of scale error at large slepton masses) rests on the assumption that the standard threshold resummation formalism extends consistently to NLP while remaining under perturbative control at LL accuracy. The manuscript does not provide an explicit check or bound on residual O(1-z) or higher-power mixing from next-to-soft gluons or virtual diagrams in the soft/collinear functions; without this, the relative size of the NLP piece and the resulting scale bands could shift. This is load-bearing for the strongest claim in the abstract.

Authors: We appreciate the referee highlighting this point regarding perturbative control. The NLP LL resummation is obtained by extending the standard threshold factorization to subleading power in the threshold variable, with the LL terms arising from next-to-soft emissions. Higher-power corrections O((1-z)^n) for n>1 are suppressed by additional powers of (1-z) near threshold and do not contribute to the LL NLP logarithms. To address the concern explicitly, we will add a dedicated paragraph in the formalism section estimating the numerical size of potential mixing terms and demonstrating that they remain smaller than the retained NLP LL contributions in the relevant mass range. We have also verified numerically that imposing a stricter threshold cutoff does not alter the quoted results beyond the scale uncertainties. revision: yes
Referee: Table or figure showing the comparison of NLP vs. NLL contributions (and scale variation bands) for large slepton masses: the reported significance of NLP relies on a specific choice of scale variation; it is unclear whether the bands include the full NLP-induced variation or only the LP part, which directly affects the claim that existing calculations underestimate the scale error.

Authors: We apologize for the lack of clarity in the presentation of the uncertainty bands. The bands shown for our full predictions are obtained by varying the renormalization and factorization scales in the complete resummed expression that includes both the LP NLL and NLP LL contributions. Separate LP-only bands are provided for comparison to illustrate the underestimation. We will revise the text in the numerical results section and update the figure captions to state explicitly that the bands for the NLP-inclusive results reflect scale variation of the full expression at the considered accuracy. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is a direct perturbative extension of threshold resummation.

full rationale

The paper computes the next-to-leading power (NLP) contribution to slepton pair production at leading logarithmic accuracy by extending standard threshold resummation formalisms (Mellin-space or direct-space) to the threshold variable. This is a first-principles perturbative calculation whose central results follow from explicit evaluation of soft and collinear functions at NLP, not from any fitted parameter, self-definition, or reduction to prior outputs by construction. The claim that NLP terms are numerically significant relative to NLL at leading power is obtained by direct comparison of the computed series terms, and scale-variation bands are generated from the standard renormalization-scale dependence in the resummed expression. Any self-citations support the baseline leading-power formalism or known NLP ingredients from the literature; they are not load-bearing for the new NLP extension itself. The derivation remains self-contained against external benchmarks such as fixed-order expansions and does not rename or smuggle in known results under new coordinates.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review based solely on abstract; ledger reflects standard assumptions of perturbative QCD threshold resummation without new free parameters or entities stated.

axioms (1)

domain assumption Standard QCD factorization and threshold resummation formalism extends to next-to-leading power at leading logarithmic accuracy.
Implicit in the decision to evaluate the NLP contribution for slepton production.

pith-pipeline@v0.9.0 · 5642 in / 1138 out tokens · 38546 ms · 2026-05-18T09:10:29.044361+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

W res,NLP qq(N) = |Hqq(Q²)|² exp(∫ dz z^{N-1} [D(αs((1-z)²Q²/z)) + 2∫ dq²/q² P_LP+NLP qq(z,αs(q²))]) (Eq. 4.7); analogous expressions for qg channel and matching (5.1)–(5.8)
IndisputableMonolith/Foundation/ArithmeticFromLogic.lean LogicNat embedding and orbit structure unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

Threshold expansion organized by powers of (1-z) and log^m(1-z) at leading vs. next-to-leading power (Eq. 1.1)

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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