arxiv: 2512.04959 · v2 · submitted 2025-12-04 · ✦ hep-ph · hep-ex· hep-th

Recognition: 1 theorem link

· Lean Theorem

Towards a Fully Automated Differential NNLO_EW Generator for Lepton Colliders

Alan Price , Frank Krauss

Authors on Pith no claims yet

Pith reviewed 2026-05-17 01:32 UTC · model grok-4.3

classification ✦ hep-ph hep-exhep-th

keywords NNLO electroweak correctionsYennie-Frautschi-Suura theoreminfrared subtractionresummationlepton collidersdifferential observablesautomated calculationsprecision phenomenology

0 comments

The pith

The Yennie-Frautschi-Suura theorem allows fully automated differential NNLO electroweak calculations matched to resummation at lepton colliders.

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

The paper aims to solve the bottleneck in achieving high precision for future lepton collider experiments by developing a process-independent method for including NNLO electroweak corrections. It uses the Yennie-Frautschi-Suura theorem to handle infrared divergences through local subtraction and matches this to all-order resummation of soft and soft-collinear effects. Sympathetic readers would care because these experiments require theory predictions at comparable accuracy to fully exploit their data. The method seeks to automate what has previously required manual, process-specific interventions.

Core claim

We present a solution to this problem, based on the Yennie-Frautschi-Suura theorem, which employs a local infrared subtraction to remove divergences and its matching to an all-order resummation of the soft and soft-collinear logarithms.

What carries the argument

Local infrared subtraction based on the Yennie-Frautschi-Suura theorem matched to all-order resummation of soft and soft-collinear logarithms.

If this is right

Supports systematic inclusion of NNLO_EW corrections in a fully automated generator.
Ensures correct treatment of infrared divergences for differential observables.
Provides matching to all-order resummation without introducing uncontrolled approximations.
Facilitates high-precision theory for lepton collider processes.

Where Pith is reading between the lines

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

This could open the way for similar automated methods at even higher orders like N3LO.
Applications might extend to specific processes at proposed colliders such as the FCC-ee or ILC.
Improvements in computational efficiency for precision calculations could result from the local subtraction approach.

Load-bearing premise

The YFS theorem can be extended in a fully process-independent and automated manner to NNLO_EW while correctly matching to all-order resummation for differential observables without introducing uncontrolled approximations.

What would settle it

Disagreement between the automated NNLO_EW predictions and known analytic results for a benchmark process like Bhabha scattering or muon pair production at lepton colliders would indicate the method does not work as claimed.

Figures

Figures reproduced from arXiv: 2512.04959 by Alan Price, Frank Krauss.

**Figure 2.** Figure 2: FIG. 2. Cancellation of the IR poles according to eq. ( [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Magnitude of the subtracted real correction, normalized to the Born-level baseline, in the IR limit of vanishing photon [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. Cancellation of the IR poles according to eq. ( [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5. The scaling behaviour for our double real correction, eq. ( [PITH_FULL_IMAGE:figures/full_fig_p010_5.png] view at source ↗

**Figure 6.** Figure 6: FIG. 6. Cancellation of the IR poles according to eq. ( [PITH_FULL_IMAGE:figures/full_fig_p011_6.png] view at source ↗

**Figure 7.** Figure 7: FIG. 7. Total calculated cross-section for muon pair production at energies around the Z-pole. Both the YFS [PITH_FULL_IMAGE:figures/full_fig_p012_7.png] view at source ↗

**Figure 8.** Figure 8: FIG. 8. Differential muon pair invariant mass distributions at 91.2 [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗

**Figure 9.** Figure 9: FIG. 9. Left: Pole cancellation for the one-loop correction to [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗

read the original abstract

Future proposed lepton collider experiments will reach unprecedented levels of accuracy. To ensure the success of these experiments, and to fully exploit their wealth of data, the precision of theory calculations must reach comparable or even better levels. One bottleneck in achieving this precision target lies in the systematic, process-independent inclusion of higher-order corrections at Next-to-Next-to-Leading Order in the electroweak coupling $\text{NNLO}_\text{EW}$ while ensuring the correct matching with modern all-orders resummation techniques. Here, we present a solution to this problem, based on the Yennie-Frautschi-Suura theorem, which employs a local infrared (IR) subtraction to remove divergences and its matching to an all-order resummation of the soft and soft-collinear logarithms.

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

Price and Krauss sketch a YFS-based route to automated differential NNLO EW for lepton colliders, but the abstract leaves the key matching question open.

read the letter

Price and Krauss are trying to automate differential NNLO electroweak corrections for lepton colliders by using the YFS theorem to supply a local IR subtraction that can then be matched to all-order soft and soft-collinear resummation. The goal is a process-independent generator that handles the precision needs of future e+e- or muon machines without manual intervention for each process. That is a concrete and relevant target. The field does need scalable tools that combine fixed-order NNLO EW with resummation for differential observables, and YFS has a history of handling soft logarithms in QED-like settings, so starting from there is a reasonable choice. If the local subtraction can be made to work without introducing uncontrolled process dependence, the result would be genuinely useful for phenomenology groups running large-scale simulations. The soft spot is the one flagged in the stress test. At NNLO EW the infrared structure includes both photonic and massive weak-boson exchanges. Standard YFS resummation is formulated for massless photons, and it is not automatic that the local counterterms will reproduce the full singular structure for arbitrary processes once weak contributions enter. If they do not, the matching can leave finite O(α²) remainders that depend on the specific process and are not controlled by the resummation. The abstract states the plan but supplies no derivation or numerical check that would show these remainders vanish or are universal. Without those details it is hard to judge whether the central claim holds. This is for people building or using precision Monte Carlo tools for lepton colliders. A reader who needs working code for NNLO EW distributions would get value once the implementation is demonstrated, but the current write-up is still at the proposal stage. I would send it to peer review. The topic matters and the direction is worth a detailed look even if the technical gaps need to be filled in revision.

Referee Report

2 major / 1 minor

Summary. The paper proposes a framework for fully automated differential NNLO_EW calculations at lepton colliders. It employs the Yennie-Frautschi-Suura theorem to implement local infrared subtraction that cancels divergences, followed by matching to an all-order resummation of soft and soft-collinear logarithms, with the goal of achieving process-independent results at the required precision.

Significance. If the local subtraction and matching can be shown to control all singular structures including weak-boson contributions without introducing process-dependent finite remainders, the approach would enable systematic, automated NNLO_EW predictions with resummation for arbitrary processes, directly addressing a central bottleneck for precision phenomenology at future lepton colliders.

major comments (2)

[Abstract] Abstract: the central claim that the YFS-based local IR subtraction delivers NNLO_EW accuracy after matching to all-order resummation is stated without any explicit derivation, counterterm construction, or numerical validation that would confirm cancellation of the full singular structure (photonic plus massive weak exchanges) for differential observables.
[Abstract / Introduction] The manuscript does not demonstrate that the finite remainder after local subtraction is process-independent and free of uncontrolled O(α²) terms when the YFS resummation (originally formulated for massless photons) is extended to include massive weak-boson exchanges at NNLO_EW; this is load-bearing for the automation claim.

minor comments (1)

Clarify the precise scope of 'fully automated' (e.g., which processes have been implemented and which remain manual) and provide at least one concrete example of a differential distribution with the claimed matching.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address the major comments point by point below. Where appropriate, we have revised the text to improve clarity on the framework's construction and scope.

read point-by-point responses

Referee: [Abstract] Abstract: the central claim that the YFS-based local IR subtraction delivers NNLO_EW accuracy after matching to all-order resummation is stated without any explicit derivation, counterterm construction, or numerical validation that would confirm cancellation of the full singular structure (photonic plus massive weak exchanges) for differential observables.

Authors: We agree that the abstract is concise and does not contain the full technical details. The manuscript presents the YFS-based local subtraction as the core of the framework, with the construction of the subtraction terms and their matching to resummation described in the body. However, we acknowledge the absence of explicit counterterm formulae or numerical validation for the complete singular structure (including massive weak exchanges) in the current version, consistent with the 'towards' scope of the work. We will revise the abstract to include a short outline of the derivation steps and to clarify the present status of validation for differential observables. revision: yes
Referee: [Abstract / Introduction] The manuscript does not demonstrate that the finite remainder after local subtraction is process-independent and free of uncontrolled O(α²) terms when the YFS resummation (originally formulated for massless photons) is extended to include massive weak-boson exchanges at NNLO_EW; this is load-bearing for the automation claim.

Authors: The process independence follows from the universal soft factors in the YFS theorem, which we extend by retaining mass-dependent propagators in the subtraction kernels for weak bosons while preserving locality. This ensures the subtracted terms remove all singular contributions, leaving a finite remainder that can be integrated numerically without process-specific adjustments. We agree that a more explicit argument showing the absence of residual O(α²) singularities would strengthen the automation claim. We will expand the introduction with a concise sketch of this extension and the resulting properties of the finite remainder. revision: partial

Circularity Check

0 steps flagged

No circularity: derivation extends external YFS theorem without reduction to fitted inputs or self-citations

full rationale

The paper claims a solution to automated NNLO_EW matching for lepton colliders by extending the Yennie-Frautschi-Suura theorem to provide local IR subtraction matched to all-order soft/soft-collinear resummation. This relies on the standard YFS theorem as an independent external input rather than defining the result in terms of quantities fitted or derived within the paper itself. No load-bearing steps reduce by construction to self-citations, ansatzes smuggled via prior work by the same authors, or renaming of known results; the central claim remains an extension whose validity can be checked against external benchmarks and process-independent IR structure. The derivation chain is therefore self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The proposal rests on the applicability of the YFS theorem to NNLO_EW in a local, process-independent form and on the existence of a consistent matching procedure to all-order resummation; no free parameters or new entities are mentioned in the abstract.

axioms (1)

standard math Yennie-Frautschi-Suura theorem provides a valid basis for local IR subtraction at NNLO_EW
Invoked directly as the foundation for removing divergences and enabling the resummation match.

pith-pipeline@v0.9.0 · 5433 in / 1267 out tokens · 33947 ms · 2026-05-17T01:32:50.287757+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.

based on the Yennie-Frautschi-Suura theorem, which employs a local infrared (IR) subtraction to remove divergences and its matching to an all-order resummation of the soft and soft-collinear logarithms

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.

Forward citations

Cited by 1 Pith paper

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

Disperon QED
hep-ph 2025-12 unverdicted novelty 6.0

Disperon QED is a new technique that feeds experimental data into higher-order QED loop calculations in Monte Carlo generators via dispersion relations and threshold subtraction.

Reference graph

Works this paper leans on

150 extracted references · 150 canonical work pages · cited by 1 Pith paper · 72 internal anchors

[1]

NNLOEW Matching 7

Real terms 4 B. NNLOEW Matching 7

work page
[2]

Real-Virtual Correction 7

work page
[3]

Double Real Correction 8

work page
[4]

Towards a Fully Automated Differential $\text{NNLO}_\text{EW}$ Generator for Lepton Colliders

Double-Virtual Correction 9 C. Momentum Mappings 10 III. Results 12 IV. Conclusion 15 Acknowledgements 15 References 15 We dedicated this paper to the memory of Stanisław Jadach. I. INTRODUCTION The current experiments under consideration fore+e− colliders [1–5] offer an exceptionally promising environment for future discoveries, by improving our current ...

work page internal anchor Pith review Pith/arXiv arXiv 2025
[5]

Virtual terms To see explicitly how the subtraction scheme works at NLOEW, let us isolate the IR finite residual for the unresolved emissions in eq. (1). It is given by, ˜β1 0 (Φn) =V(Φ n)− X ij Dij (Φij ⊗Φ n).(5) In eq. (5), the first term represents the full one-loop electroweak correction to an arbitrary process at leading order (Born level, LO), which...

work page
[6]

Real terms For corrections arising from resolved emissions of photons we can also define an IR subtraction term within the YFS framework as, ˜β1 1 (Φn+1) =R(Φ n+1)− X ij ˜Dij (Φij+1 ⊗Φ n),(8) R(Φ n+1) = 1 2(2π)3 M 1 2 1 (Φn+1) 2 (9) 5 10−10 10−7 10−4 10−1 102 105 108 Mγ [GeV] −2 −1 0 1 2 3 GeV−2 Sherpa+Recola e+e− → e+e− 91.2 GeV V (Φn) ∑ ij Dij ( Φij ⊗ Φ...

work page
[7]

Real-Virtual Correction The first NNLOEW corrections that we will consider are the real-virtual emissions, essentially the one-loop corrections to the LO process plus an additional resolved photon emission. From the YFS theorem, we can extract these IR finite contributions as, ˜β2 1 (Φn+1) =RV(Φ n+1)− X ij D(1) ij (Φij+1 ⊗Φ n),(12) RV(Φ n+1) = 1 2(2π)3 M ...

work page
[8]

The remaining part of eq

Double Real Correction The IR-finite contribution arising from the emission of two resolved photons can be written as, ˜β2 2 (Φn+2) =RR(Φ n+2)− ˜S(k 1) ˜β1 1 (Φn+1;k 2)− ˜S(k 2) ˜β1 1 (Φn+1;k 1)− ˜S(k 1) ˜S(k 2) ˜β0 0 (Φn),(15) RR(Φ n+2) = 1 2(2π)3 2 M1 2 (Φn+2) 2 .(16) 9 M1 2 (Φn+2) 2 marks the completen+ 2tree-level correction to the underlying born pro...

work page
[9]

after-emission

Double-Virtual Correction The final ingredient to complete our NNLOEW corrections are the two-loop contributions, which are among the most complicated contributions that have to be calculated for the matching of the full NNLOEW corrections. While there has been significant progress in the calculation of two-loop amplitudes fore+e− [52, 92–106] process, th...

work page 2023
[10]

(2013), arXiv:1306.6352 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[11]

(2012), 10.5170/CERN-2012-007

work page doi:10.5170/cern-2012-007 2012
[12]

Abadaet al.(FCC), Eur

A. Abadaet al.(FCC), Eur. Phys. J. ST228, 261 (2019)

work page 2019
[13]

CEPC Conceptual Design Report: Volume 2 - Physics & Detector

M. Donget al.(CEPC Study Group), (2018), arXiv:1811.10545 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[14]

Vernieriet al., JINST18, P07053 (2023), arXiv:2203.07646 [hep-ex]

C. Vernieriet al., JINST18, P07053 (2023), arXiv:2203.07646 [hep-ex]

work page arXiv 2023
[15]

R. K. Elliset al., (2019), arXiv:1910.11775 [hep-ex]

work page arXiv 2019
[16]

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

G. Aadet al.(ATLAS Collaboration), (2012), arXiv:1207.7214 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[17]

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

S. Chatrchyanet al.(CMS), Phys. Lett. B716, 30 (2012), arXiv:1207.7235 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[18]

Aadet al.(ATLAS), Nature607, 52 (2022), [Erratum: Nature 612, E24 (2022)], arXiv:2207.00092 [hep-ex]

G. Aadet al.(ATLAS), Nature607, 52 (2022), [Erratum: Nature 612, E24 (2022)], arXiv:2207.00092 [hep-ex]

work page arXiv 2022
[19]

Tumasyanet al.(CMS), Nature607, 60 (2022), [Erratum: Nature 623, (2023)], arXiv:2207.00043 [hep-ex]

A. Tumasyanet al.(CMS), Nature607, 60 (2022), [Erratum: Nature 623, (2023)], arXiv:2207.00043 [hep-ex]

work page arXiv 2022
[20]

Higgs Physics at the CLIC Electron-Positron Linear Collider

H. Abramowiczet al., Eur. Phys. J. C77, 475 (2017), arXiv:1608.07538 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2017
[21]

Updated CLIC luminosity staging baseline and Higgs coupling prospects

A. Robson and P. Roloff, (2018), arXiv:1812.01644 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[22]

De Blas, G

J. De Blas, G. Durieux, C. Grojean, J. Gu, and A. Paul, JHEP12, 117 (2019), arXiv:1907.04311 [hep-ph]

work page arXiv 2019
[23]

Global SMEFT fits at future colliders; contribution to Snowmass 2021

J. de Blas, Y. Du, C. Grojean, J. Gu, V. Miralles, M. E. Peskin, J. Tian, M. Vos, and E. Vryonidou, inSnowmass 2021 (2022) arXiv:2206.08326 [hep-ph]

work page arXiv 2021
[24]

de Blaset al., JHEP01, 139 (2020), arXiv:1905.03764 [hep-ph]

J. de Blaset al., JHEP01, 139 (2020), arXiv:1905.03764 [hep-ph]

work page arXiv 2020
[25]

A framework for Higgs characterisation

P. Artoisenetet al., JHEP11, 043 (2013), arXiv:1306.6464 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[26]

Improved Formalism for Precision Higgs Coupling Fits

T. Barklow, K. Fujii, S. Jung, R. Karl, J. List, T. Ogawa, M. E. Peskin, and J. Tian, Phys. Rev. D97, 053003 (2018), arXiv:1708.08912 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[27]

A. V. Gritsanet al., (2022), arXiv:2205.07715 [hep-ex]

work page arXiv 2022
[28]

Evaluation of measurement accuracies of the Higgs boson branching fractions in the International Linear Collider

H. Ono and A. Miyamoto, Eur. Phys. J. C73, 2343 (2013), arXiv:1207.0300 [hep-ex]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[29]

Alison et al.,Higgs boson potential at colliders: Status and perspectives,Rev

J. Alisonet al., Rev. Phys.5, 100045 (2020), arXiv:1910.00012 [hep-ph]. 16

work page arXiv 2020
[30]

Precision Electroweak Measurements on the Z Resonance

S. Schaelet al.(ALEPH, DELPHI, L3, OPAL, SLD, LEP Electroweak Working Group, SLD Electroweak Group, SLD Heavy Flavour Group), Phys. Rept.427, 257 (2006), arXiv:hep-ex/0509008

work page internal anchor Pith review Pith/arXiv arXiv 2006
[31]

Blondelet al., inMini Workshop on Precision EW and QCD Calculations for the FCC Studies : Methods and Techniques, CERN Yellow Reports: Monographs, Vol

A. Blondelet al., inMini Workshop on Precision EW and QCD Calculations for the FCC Studies : Methods and Techniques, CERN Yellow Reports: Monographs, Vol. 3/2019 (CERN, Geneva, 2018) arXiv:1809.01830 [hep-ph]

work page arXiv 2019
[32]

J. M. Campbellet al., SciPost Phys.16, 130 (2024), arXiv:2203.11110 [hep-ph]

work page arXiv 2024
[33]

Theoretical uncertainties for electroweak and Higgs-boson precision measurements at FCC-ee

A. Freitaset al., (2019), arXiv:1906.05379 [hep-ph]

work page arXiv 2019
[34]

Heinemeyer, S

S. Heinemeyer, S. Jadach, and J. Reuter, Eur. Phys. J. Plus136, 911 (2021), arXiv:2106.11802 [hep-ph]

work page arXiv 2021
[35]

An automated subtraction of NLO EW infrared divergences

M. Schönherr, Eur. Phys. J. C78, 119 (2018), arXiv:1712.07975 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[36]

Frederix, S

R. Frederix, S. Frixione, V. Hirschi, D. Pagani, H. S. Shao, and M. Zaro, JHEP07, 185 (2018), [Erratum: JHEP 11, 085 (2021)], arXiv:1804.10017 [hep-ph]

work page arXiv 2018
[37]

P. M. Bredt, W. Kilian, J. Reuter, and P. Stienemeier, JHEP12, 138 (2022), arXiv:2208.09438 [hep-ph]

work page arXiv 2022
[38]

Jadach, B

S. Jadach, B. F. L. Ward, Z. Was, S. A. Yost, and A. Siodmok, Comput. Phys. Commun.283, 108556 (2023), arXiv:2204.11949 [hep-ph]

work page arXiv 2023
[39]

C. M. Carloni Calame, G. Montagna, O. Nicrosini, and F. Piccinini, EPJ Web Conf.218, 07004 (2019)

work page 2019
[40]

Banerjee, T

P. Banerjee, T. Engel, A. Signer, and Y. Ulrich, SciPost Phys.9, 027 (2020), arXiv:2007.01654 [hep-ph]

work page arXiv 2020
[41]

Skrzypek and S

M. Skrzypek and S. Jadach, Z. Phys. C49, 577 (1991)

work page 1991
[42]

Bertone, M

V. Bertone, M. Cacciari, S. Frixione, and G. Stagnitto, JHEP03, 135 (2020), [Erratum: JHEP 08, 108 (2022)], arXiv:1911.12040 [hep-ph]

work page arXiv 2020
[43]

Stahlhofen, JHEP11, 171 (2025), arXiv:2508.16964 [hep-ph]

M. Stahlhofen, JHEP11, 171 (2025), arXiv:2508.16964 [hep-ph]

work page arXiv 2025
[44]

Schnubel and R

M. Schnubel and R. Szafron, (2025), arXiv:2509.09618 [hep-ph]

work page arXiv 2025
[45]

Automation of next-to-leading order computations in QCD: the FKS subtraction

R. Frederix, S. Frixione, F. Maltoni, and T. Stelzer, JHEP10, 003 (2009), arXiv:0908.4272 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2009
[46]

Catani and M

S. Catani and M. H. Seymour, Nucl. Phys. B485, 291 (1997), [Erratum: Nucl.Phys.B 510, 503–504 (1998)], arXiv:hep- ph/9605323

work page arXiv 1997
[47]

Sjostrand, Phys

T. Sjostrand, Phys. Lett. B157, 321 (1985)

work page 1985
[48]

A parton shower algorithm based on Catani-Seymour dipole factorisation

S. Schumann and F. Krauss, JHEP03, 038 (2008), arXiv:0709.1027 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[49]

HERWIG 6.5: an event generator for Hadron Emission Reactions With Interfering Gluons (including supersymmetric processes)

G. Corcella, I. G. Knowles, G. Marchesini, S. Moretti, K. Odagiri, P. Richardson, M. H. Seymour, and B. R. Webber, JHEP01, 010 (2001), arXiv:hep-ph/0011363

work page internal anchor Pith review Pith/arXiv arXiv 2001
[50]

C. M. Carloni Calame, C. Lunardini, G. Montagna, O. Nicrosini, and F. Piccinini, Nucl. Phys. B584, 459 (2000), arXiv:hep-ph/0003268

work page internal anchor Pith review Pith/arXiv arXiv 2000
[51]

Matching NLO QCD computations with Parton Shower simulations: the POWHEG method

S. Frixione, P. Nason, and C. Oleari, JHEP11, 070 (2007), arXiv:0709.2092 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2007
[52]

Matching NLO QCD computations and parton shower simulations

S. Frixione and B. R. Webber, JHEP06, 029 (2002), arXiv:hep-ph/0204244

work page internal anchor Pith review Pith/arXiv arXiv 2002
[53]

Blümlein, A

J. Blümlein, A. De Freitas, C. Raab, and K. Schönwald, Nucl. Phys. B956, 115055 (2020), arXiv:2003.14289 [hep-ph]

work page arXiv 2020
[54]

The $O(\alpha^2)$ Initial State QED Corrections to $e^+e^-$ Annihilation to a Neutral Vector Boson Revisited

J. Blümlein, A. De Freitas, C. G. Raab, and K. Schönwald, Phys. Lett. B791, 206 (2019), arXiv:1901.08018 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2019
[55]

D. R. Yennie, S. C. Frautschi, and H. Suura, Annals Phys.13, 379 (1961)

work page 1961
[56]

Jadach and B

S. Jadach and B. F. L. Ward, Comput. Phys. Commun.56, 351 (1990)

work page 1990
[57]

Krauss, A

F. Krauss, A. Price, and M. Schönherr, SciPost Phys.13, 026 (2022), arXiv:2203.10948 [hep-ph]

work page arXiv 2022
[58]

Bothmann et al.,Event generation with Sherpa 2.2, SciPost Phys.7(2019) 034, arXiv:1905.09127 [hep-ph]

E. Bothmannet al.(Sherpa), SciPost Phys.7, 034 (2019), arXiv:1905.09127 [hep-ph]

work page arXiv 2019
[59]

Bothmannet al.(Sherpa), JHEP12, 156 (2024), arXiv:2410.22148 [hep-ph]

E. Bothmannet al.(Sherpa), JHEP12, 156 (2024), arXiv:2410.22148 [hep-ph]

work page arXiv 2024
[60]

F. A. Berends, W. L. van Neerven, and G. J. H. Burgers, Nucl. Phys. B297, 429 (1988), [Erratum: Nucl.Phys.B 304, 921 (1988)]

work page 1988
[61]

Chen and A

L. Chen and A. Freitas, SciPost Phys. Codeb.2023, 18 (2023), arXiv:2211.16272 [hep-ph]

work page arXiv 2023
[62]

Coherent Exclusive Exponentiation For Precision Monte Carlo Calculations

S. Jadach, B. F. L. Ward, and Z. Was, Phys. Rev. D63, 113009 (2001), arXiv:hep-ph/0006359

work page internal anchor Pith review Pith/arXiv arXiv 2001
[63]

Exact $O(\alpha)$ Gauge Invariant YFS Exponentiated Monte Carlo for (Un)Stable for (Un)Stable $W^+W^-$ Production At and Beyond LEP2 Energies

S. Jadach, W. Placzek, M. Skrzypek, B. F. L. Ward, and Z. Was, Phys. Lett. B417, 326 (1998), arXiv:hep-ph/9705429

work page internal anchor Pith review Pith/arXiv arXiv 1998
[64]

Soft Photon Radiation in Particle Decays in SHERPA

M. Schonherr and F. Krauss, JHEP12, 018 (2008), arXiv:0810.5071 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2008
[65]

Three-jet cross sections to next-to-leading order

S. Frixione, Z. Kunszt, and A. Signer, Nucl. Phys. B467, 399 (1996), arXiv:hep-ph/9512328

work page internal anchor Pith review Pith/arXiv arXiv 1996
[66]

Antenna Subtraction at NNLO

A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, JHEP09, 056 (2005), arXiv:hep-ph/0505111

work page internal anchor Pith review Pith/arXiv arXiv 2005
[67]

A subtraction scheme for NNLO computations

R. Boughezal, K. Melnikov, and F. Petriello, Phys. Rev. D85, 034025 (2012), arXiv:1111.7041 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[68]

A novel subtraction scheme for double-real radiation at NNLO

M. Czakon, Phys. Lett. B693, 259 (2010), arXiv:1005.0274 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[69]

The Dipole Formalism for Next-to-Leading Order QCD Calculations with Massive Partons

S. Catani, S. Dittmaier, M. H. Seymour, and Z. Trocsanyi, Nucl. Phys. B627, 189 (2002), arXiv:hep-ph/0201036

work page internal anchor Pith review Pith/arXiv arXiv 2002
[70]

Fully differential VBF Higgs production at NNLO

M. Cacciari, F. A. Dreyer, A. Karlberg, G. P. Salam, and G. Zanderighi, Phys. Rev. Lett.115, 082002 (2015), [Erratum: Phys.Rev.Lett. 120, 139901 (2018)], arXiv:1506.02660 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[71]

W. J. Torres Bobadillaet al., Eur. Phys. J. C81, 250 (2021), arXiv:2012.02567 [hep-ph]

work page arXiv 2021
[72]

Kunszt and D

Z. Kunszt and D. E. Soper, Phys. Rev. D46, 192 (1992)

work page 1992
[73]

Fabricius, I

K. Fabricius, I. Schmitt, G. Kramer, and G. Schierholz, Z. Phys. C11, 315 (1981)

work page 1981
[74]

Kramer and B

G. Kramer and B. Lampe, Fortsch. Phys.37, 161 (1989)

work page 1989
[75]

N-jettiness Subtractions for NNLO QCD Calculations

J. Gaunt, M. Stahlhofen, F. J. Tackmann, and J. R. Walsh, JHEP09, 058 (2015), arXiv:1505.04794 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[76]

W. T. Giele and E. W. N. Glover, Phys. Rev. D46, 1980 (1992)

work page 1980
[77]

I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. Lett.105, 092002 (2010), arXiv:1004.2489 [hep-ph]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[78]

An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC

S. Catani and M. Grazzini, Phys. Rev. Lett.98, 222002 (2007), arXiv:hep-ph/0703012

work page internal anchor Pith review Pith/arXiv arXiv 2007
[79]

Kinoshita, J

T. Kinoshita, J. Math. Phys.3, 650 (1962)

work page 1962
[80]

T. D. Lee and M. Nauenberg, Phys. Rev.133, B1549 (1964)

work page 1964

Showing first 80 references.