{"total":15,"items":[{"citing_arxiv_id":"2607.08477","ref_index":19,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation","primary_cat":"hep-ph","submitted_at":"2026-07-09T13:33:47+00:00","verdict":"ACCEPT","verdict_confidence":"HIGH","novelty_score":5.0,"formal_verification":"none","one_line_summary":"AMFlow 2.0 cuts symbolic and numerical cost of multi-loop Feynman integral evaluation via an FT recursion mode, a C++ DE solver, and modern IBP reducers, demonstrated on a three-loop five-point family.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2607.02411","ref_index":22,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Chebyshev Approximations of Feynman Integrals for Collider Physics","primary_cat":"hep-ph","submitted_at":"2026-07-02T16:43:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Chebyshev polynomial approximations with adaptive sampling solve canonical differential equations for Feynman integrals, demonstrated to be stable and competitive for two-loop five-point cases in double precision.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.31994","ref_index":12,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The geometric bookkeeping guide for $\\varepsilon$-factorised differential equations","primary_cat":"hep-th","submitted_at":"2026-06-30T17:30:36+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Describes a geometric-ordering approach to the Laporta algorithm plus transformation matrices that produce ε-factorised differential equations for arbitrary Feynman integral families.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.30354","ref_index":30,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries","primary_cat":"hep-ph","submitted_at":"2026-06-29T14:23:37+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A strategy is introduced to solve canonical differential equations for Feynman master integrals on arbitrary geometries by reducing numerical evaluation to an enlarged system of rational differential equations.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.27101","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Approximating Feynman integrals using complete monotonicity and Stieltjes properties","primary_cat":"hep-th","submitted_at":"2026-06-25T14:36:31+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Feynman integrals are completely monotonic (and often Stieltjes) functions, enabling a CM bootstrap for bounds from differential equations and Padé approximants with provable convergence.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.25928","ref_index":54,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Electroweak corrections to Higgs boson pair production: The quark channel","primary_cat":"hep-ph","submitted_at":"2026-06-24T15:06:24+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Mixed QCD-EW corrections to qqbar -> HH computed analytically via differential equations, matched to large-mass limit, implemented in POWHEG-BOX, showing up to +10% effect on invariant mass distribution near threshold.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.02744","ref_index":118,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"IterInt: Evaluating iterated integrals via differential equations","primary_cat":"hep-ph","submitted_at":"2026-06-01T18:08:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"IterInt package evaluates iterated integrals by transforming them into solvable differential equation systems with built-in regularization.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.31553","ref_index":80,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Numerical analytical continuation of multivariate hypergeometric functions","primary_cat":"math-ph","submitted_at":"2026-05-29T17:17:43+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"A general numerical framework is described for high-precision evaluation and analytic continuation of multivariate hypergeometric functions via Pfaffian systems and the Frobenius method.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30216","ref_index":68,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.20954","ref_index":27,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"SubTropica","primary_cat":"hep-th","submitted_at":"2026-04-22T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"fields and dataflow graphs,JHEP07(2019) 031 [1905.08019]. [25] C. Meyer,Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA,Comput. Phys. Commun.222(2018) 295 [1705.06252]. [26] R.N. Lee,Libra: A package for transformation of differential systems for multiloop integrals,Comput. Phys. Commun.267(2021) 108058 [2012.00279]. [27] M. Hidding,DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions,Comput. Phys. Commun.269(2021) 108125 [2006.05510]. [28] O. Gituliar and V. Magerya,Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form,Comput. Phys. Commun.219(2017) 329 [1701.04269]."},{"citing_arxiv_id":"2604.16251","ref_index":48,"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":"Developments in FeynCalc 9.0,Comput. Phys. Commun.207(2016) 432-444, [1601.01167]. [46] F. V. Tkachov,A theorem on analytical calculability of 4-loop renormalization group functions,Phys. Lett. B 100(1981) 65-68. [47] K. G. Chetyrkin and F. V. Tkachov,Integration by parts: The algorithm to calculateβ-functions in 4 loops, Nucl. Phys. B192(1981) 159-204. [48] S. Laporta,High-precision calculation of multiloop Feynman integrals by difference equations,Int. J. Mod. Phys. A15(2000) 5087-5159, [hep-ph/0102033]. [49] J. M. Henn,Multiloop integrals in dimensional regularization made simple,Phys. Rev. Lett.110(2013) 251601, [1304.1806]. [50] W. Flieger and W. J. Torres Bobadilla,Landau and leading singularities in arbitrary space-time dimensions,"},{"citing_arxiv_id":"2511.15381","ref_index":73,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"New algorithms for Feynman integral reduction and $\\varepsilon$-factorised differential equations","primary_cat":"hep-th","submitted_at":"2025-11-19T12:16:15+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A geometric order relation in IBP reduction yields a master-integral basis with Laurent-polynomial differential equations on the maximal cut that are then ε-factorized.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2505.10406","ref_index":81,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2504.06689","ref_index":107,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist","primary_cat":"hep-ph","submitted_at":"2025-04-09T08:50:05+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"The report reviews progress since 2021 in fixed-order computations for LHC applications and identifies processes requiring missing higher-order corrections to match anticipated experimental precision.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"area in recent years, stemming from joint research by both the phenomenology and amplitude communities. These advances have helped to clarify the analytic properties of integrals beyond 8 MPLs and is enabling their numeric evaluation, see e.g., Refs. [91-106]. When a fully analytic solution of the differential equations cannot be obtained, the use of generalised series expansions as implemented inDiffExp[107] and the recentSeaSydepackage [108] remain indispensable. The method of Auxiliary Mass Flow [109-111], as implemented inAMFlow[112], is also used in many cutting-edge calculations either to directly evaluate the relevant master integrals or for obtaining high-precision numerical boundary values for differential equations. Methods to evaluate integrals directly in parameter space, either analytically as imple-"},{"citing_arxiv_id":"2008.06494","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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}],"limit":50,"offset":0}