{"total":13,"items":[{"citing_arxiv_id":"2606.02485","ref_index":25,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On the spanning cuts consistency problem in the IBP reductions of Feynman integrals","primary_cat":"hep-ph","submitted_at":"2026-06-01T16:54:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Inconsistency in spanning cuts for IBP reductions arises because cuts can make hidden terms in IBP relations finite via pinch singularities that cancel vanishing parameters, linked to hidden linear relations between propagators, for which an algorithm is provided.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30216","ref_index":78,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions","primary_cat":"hep-ph","submitted_at":"2026-05-28T16:48:44+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"HyperPrecision is a new Mathematica package that evaluates general Horn-type multivariate hypergeometric functions and their ε-expansions to high precision by reducing Pfaffian PDE systems to solvable ODEs.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.10635","ref_index":36,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops","primary_cat":"hep-ph","submitted_at":"2026-05-11T14:24:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"UNKNOWN","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The heavy-quark condensate is computed at five-loop order in QCD with massive quarks, confirming the five-loop vacuum anomalous dimension.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Kauers,Fast solvers for dense linear systems,Nucl. Phys. B Proc. Suppl.183(2008) 245-250. [34] P. Kant,Finding Linear Dependencies in Integration-By-Parts Equations: A Monte Carlo Approach,Comput. Phys. Commun.185(2014) 1473-1476, [1309.7287]. [35] A. von Manteuffel and R. M. Schabinger,A novel approach to integration by parts reduction, Phys. Lett. B744(2015) 101-104, [1406.4513]. [36] T. Peraro,Scattering amplitudes over finite fields and multivariate functional reconstruction, JHEP12(2016) 030, [1608.01902]. [37] J. Klappert and F. Lange,Reconstructing rational functions with FireFly,Comput. Phys. Commun.247(2020) 106951, [1904.00009]. [38] A. V. Smirnov, N. D. Shapurov and L. I. Vysotsky,FIESTA5: Numerical high-performance Feynman integral evaluation,Comput."},{"citing_arxiv_id":"2605.04009","ref_index":42,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit","primary_cat":"hep-ph","submitted_at":"2026-05-05T17:30:48+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-fraction algorithm.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"[40] S. Abreu, D. Chicherin, H. Ita, B. Page, V. Sotnikov, W. Tschernow et al.,All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering,Phys. Rev. Lett.132(2024) 141601 [2306.15431]. [41] Y. Guo, L. Wang, G. Yang and Y. Yin,Analytic two-loop four-point form factor of the stress-tensor supermultiplet inN= 4 SYM,JHEP02(2025) 002 [2409.12445]. [42] L.J. Dixon and S. Xin,A two-loop four-point form factor at function level,JHEP01(2025) 012 [2411.01571]. [43] S. Badger, C. Biello, C. Brancaccio and F. Ripani,Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints,JHEP03(2026) 011 [2511.11537]. [44] S. Badger, H.B. Hartanto, Z. Wu, Y. Zhang and S."},{"citing_arxiv_id":"2604.16251","ref_index":30,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Tensor decomposition of $e^+e^-\\to\\pi^+\\pi^-\\gamma$ to higher orders in the dimensional regulator","primary_cat":"hep-ph","submitted_at":"2026-04-17T17:11:49+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"First beyond-NLO tensor decomposition and higher-order analytic one-loop amplitudes for e+e- to pi+pi-gamma, paired with a fast numerical five-point integral evaluator.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"application to four-point amplitudes with one off-shell leg,JHEP12(2024) 215, [2410.19088]. [28] S. Caron-Huot and J. M. Henn,Iterative structure of finite loop integrals,JHEP06(2014) 114, [1404.2922]. [29] R. Boughezal, M. Czakon and T. Schutzmeier,NNLO fermionic corrections to the charm quark mass dependent matrix elements in¯B→X sγ,JHEP09 (2007) 072, [0707.3090]. [30] M. Czakon,Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD,Phys. Lett. B664 (2008) 307-314, [0803.1400]. [31] M. K. Mandal and X. Zhao,Evaluating multi-loop Feynman integrals numerically through differential equations,JHEP03(2019) 190, [1812.03060]. [32] M. L. Czakon and M. Niggetiedt,Exact quark-mass dependence of the Higgs-gluon form factor at three loops"},{"citing_arxiv_id":"2604.12613","ref_index":94,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Next-to-next-to-next-to-leading order QCD corrections to photon-pair production","primary_cat":"hep-ph","submitted_at":"2026-04-14T11:41:25+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"N³LO QCD predictions for photon-pair production are presented, demonstrating perturbative convergence.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"finite-field probes. For the first step, we generate Feynman diagrams with the private softwareDiaGen, manipulate them in FORM[91] to perform color and Dirac algebra, and export them asC++functions. Finite-field variables are repre- sented in theFFIntdata type fromFireFly[92, 93]. WithinC++, we apply projectors to helicity amplitudes following Ref. [94] and express scalar products involv- ing the loop momentum as inverse propagators. The resulting loop integrals are reduced to master integrals by linking withKira[95, 96], which internally performs integration-by-part reduction in theFFIntdata type. Fi- nally, we map the master integrals to the function basis used in Ref. [97] employing the solution provided in their"},{"citing_arxiv_id":"2604.09534","ref_index":56,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The four-loop non-singlet splitting functions in QCD","primary_cat":"hep-ph","submitted_at":"2026-04-10T17:52:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Four-loop non-singlet splitting functions in QCD are computed analytically for the first time, with numerical representations provided.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"man integrals by difference equations, Int. J. Mod. Phys. A15, 5087 (2000), arXiv:hep-ph/0102033. [54] A. von Manteuffel and C. Studerus, Reduze 2 - Distributed Feynman Integral Reduction, (2012), arXiv:1201.4330 [hep-ph]. [55] A. von Manteuffel and R. M. Schabinger, A novel ap- proach to integration by parts reduction, Phys. Lett. B 744, 101 (2015), arXiv:1406.4513 [hep-ph]. [56] T. Peraro, Scattering amplitudes over finite fields and multivariate functional reconstruction, JHEP12, 030, arXiv:1608.01902 [hep-ph]. [57] M. Driesse, G. U. Jakobsen, G. Mogull, J. Plefka, B. Sauer, and J. Usovitsch, Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self- Force Order, Phys. Rev. Lett.132, 241402 (2024), arXiv:2403."},{"citing_arxiv_id":"2603.15751","ref_index":43,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"The photon-energy spectrum in $B\\to X_s\\gamma$ to N$^3$LO: light-fermion and large-$N_{\\rm c}$ corrections","primary_cat":"hep-ph","submitted_at":"2026-03-16T18:00:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.11537","ref_index":41,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints","primary_cat":"hep-ph","submitted_at":"2025-11-14T18:17:33+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"together with the on-shell conditions p2 i = 0 (i= 1, . . . , n), p 2 ϕ =s ϕ. In particular, the five-particle kinematics for the casen= 4can be described in terms of six independent Mandelstam invariants, ⃗ s= (s12, s23, s34, s4ϕ, s1ϕ, sϕ), wheres ij = (pi +p j)2. Additionally, we define the pseudoscalar invariant tr5 = 4i ε µνρσ pµ 1 pν 2pρ 3pσ 4 = [12]⟨23⟩[34]⟨41⟩ −[23]⟨34⟩[41]⟨12⟩. A parametrization based on the Mandelstam variables⃗ snecessarily involvestr 5 ≡√∆5, with √∆5 being an irreducible polynomial in⃗ s. In order to rationalize both√∆5 and the spinor brackets⟨ij⟩and[ij], we make use of momentum-twistor variables [108, 109]. In this representation, the Mandelstam invariants can be written explicitly as s12 =x 1 ,"},{"citing_arxiv_id":"2511.11424","ref_index":34,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Double virtual QCD corrections to $t\\bar{t}+$jet production at the LHC","primary_cat":"hep-ph","submitted_at":"2025-11-14T15:52:56+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Note thats 34 is the only dimensionful variable in our momentum-twistor parametrisation, hence it can be set to1to simplify the computation and reintroduced by dimensional analysis. In order to permute or conjugate momentum-twistor expressions, it is necessary to eliminate their spinor phases through division by suitable phase factors. We use the following: Φ+++ g = [35][34] ⟨35⟩ ,Φ ++− g = ⟨5|3|4|5⟩ ⟨34⟩2 ,Φ +−+ g = ⟨4|5|3|4⟩ ⟨35⟩2 ,(3.24) for0→ ¯ttgggand Φ+−+ q = ⟨34⟩[35] ⟨35⟩ ,Φ +−− q = ⟨45⟩[34] [45] ,(3.25) for0→ ¯tt¯qqg. We refer to appendix C of ref. [54] for a thorough discussion of how to permute and conjugate momentum-twistor expressions. We employ the functional reconstruction strategy proposed in refs. [47, 52] to reconstruct the"},{"citing_arxiv_id":"2505.10406","ref_index":52,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"One-loop amplitudes for $t\\bar{t}j$ and $t\\bar{t}\\gamma$ productions at the LHC through $\\mathcal{O}(\\epsilon^2)$","primary_cat":"hep-ph","submitted_at":"2025-05-15T15:28:36+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Analytic expressions for one-loop helicity amplitudes in ttj and ttγ production are derived to O(ε²) as linear combinations of pentagon functions with rational coefficients in momentum-twistor variables, obtained via differential equations solved numerically by generalized power series expansion.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2008.06494","ref_index":22,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Integral Reduction with Kira 2.0 and Finite Field Methods","primary_cat":"hep-ph","submitted_at":"2020-08-14T17:58:33+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Kira 2.0 implements finite-field coefficient reconstruction for IBP reductions and improved user-equation handling, yielding lower memory use and faster performance on state-of-the-art problems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"1906.11862","ref_index":4,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons","primary_cat":"hep-ph","submitted_at":"2019-06-27T18:24:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}