{"total":13,"items":[{"citing_arxiv_id":"2607.01163","ref_index":11,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"HyperFORM -- a FORM package for parametric integration with hyperlogarithms","primary_cat":"hep-ph","submitted_at":"2026-07-01T16:46:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"A new open FORM package implements parametric hyperlogarithm integration, demonstrated on zigzag Feynman integrals up to six loops.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.02744","ref_index":10,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"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":"2605.31221","ref_index":28,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"CoLoRFulNNLO for color-singlet processes: An update on NNLOCAL","primary_cat":"hep-ph","submitted_at":"2026-05-29T12:26:05+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"NNLOCAL extends CoLoRFulNNLO to color-singlet processes using generic QCD IR factorization counterterms integrated analytically for stable NNLO LHC cross sections.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30216","ref_index":26,"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":"2605.06542","ref_index":32,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs","primary_cat":"hep-th","submitted_at":"2026-05-07T16:38:23+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"0 ([φ1, m1]⊗ · · · ⊗[φ d, md]) = Lim1,...,md(φ1, . . . , φd) (3.25) in terms of the standard multiple polylogarithm function [31], defined for positive integers ni and complex numbers|z i|<1 by the power series Lim1,m2,...,md(z1, z2, . . . , zd) = X 0<n1<n2<···<nd zn1 1 zn2 2 . . . znd d nm1 1 nm2 2 . . . nmd d .(3.26) - 11 - Here we use the convention of [32, 33] which differs from that of [1] by the reversal of arguments. Fork= 1 we have LiR 1 ([φ1, m1]⊗ · · · ⊗[φ d, md]) =− dX i=1 mi Lim1,...,mi+1,...,md(φ1, . . . , φd).(3.27) Altogether, we define, fork≥n−1, theeven and odd quadrangular polylogarithm functions QLi± k by QLi+ k (i1, i2, . . . , i2n) = QLiR k−n+1(0,1, . . . ,2n−1)| zj →zij+1 ,(3.28) QLi−"},{"citing_arxiv_id":"2605.05349","ref_index":23,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"All-loop four-quark Bethe-Salpeter kernel","primary_cat":"hep-ph","submitted_at":"2026-05-06T18:19:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Tkachov,A theorem on analytical calculability of 4-loop renormalization group functions,Phys. Lett. B100(1981) 65-68. [21] K. G. Chetyrkin and F. V. Tkachov,Integration by parts: The algorithm to calculate β-functions in 4 loops,Nucl. Phys. B192(1981) 159-204. [22] O. V. Tarasov,Connection between Feynman integrals having different values of the space-time dimension,Phys. Rev. D54(1996) 6479-6490, [hep-th/9606018]. [23] O. V. Tarasov,Generalized recurrence relations for two loop propagator integrals with arbitrary masses,Nucl. Phys. B502(1997) 455-482, [hep-ph/9703319]. [24] A. B. Goncharov,Multiple polylogarithms, cyclotomy and modular complexes,Math. Res. Lett.5(1998) 497-516, [1105.2076]. [25] A. B. Goncharov,Multiple polylogarithms and mixed Tate motives,math/0103059."},{"citing_arxiv_id":"2604.08332","ref_index":53,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Discrete symmetries of Feynman integrals","primary_cat":"hep-th","submitted_at":"2026-04-09T15:06:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Discrete symmetries of Feynman integral families correspond to permutations of Feynman parameters and induce group actions on twisted cohomology whose characters are Euler characteristics of fixed-point sets, yielding a formula for master integral counts in symmetric banana diagrams up to four loops","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"whereU(s, ε) is some matrix of full rank compatible with the partial order on the sectors. A judicious choice of basis may have an impact on our ability to solve the system of differential equations for the master integrals. A particularly convenient choice is a so- calledcanonicalbasis, first introduced in ref. [36] in the context of Feynman integrals that evaluate to multiple polylogarithms [49, 53, 54]. Various proposals have been made for how to obtain canonical differential equations for Feynman integrals that go beyond polylogarithms. While there is still no general consensus for what a good definition of a canonical basis beyond polylogarithms is, it is generally agreed that in a canonical basis - 8 - the differential equations areε-factorized, 3 i."},{"citing_arxiv_id":"2601.05312","ref_index":61,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude","primary_cat":"hep-th","submitted_at":"2026-01-08T19:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2512.24403","ref_index":25,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms","primary_cat":"hep-ph","submitted_at":"2025-12-30T18:36:34+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The integrated iterated single-unresolved approximate cross section in CoLoRFulNNLO for hadron collisions is a convolution of the Born cross section with an insertion operator.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2512.23699","ref_index":29,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Twisted de Rham theory for string double copy in AdS","primary_cat":"hep-th","submitted_at":"2025-12-29T18:56:44+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.15240","ref_index":60,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"A construction of single-valued elliptic polylogarithms","primary_cat":"hep-th","submitted_at":"2025-11-19T08:49:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A construction of single-valued elliptic polylogarithms on the punctured elliptic curve is given that reduces to Brown's genus-zero condition upon torus degeneration.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.02800","ref_index":144,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Towards Motivic Coactions at Genus One from Zeta Generators","primary_cat":"hep-th","submitted_at":"2025-08-04T18:11:26+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple modular values.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Verbeek, Canonicalizing zeta generators: genus zero and genus one , 2406.05099. [142] A. Pollack, \"Relations between derivations arising from modular forms.\" https://dukespace.lib.duke.edu/dspace/handle/10161/1281, 2009. Undergraduate thesis, Duke University. [143] A. B. Goncharov, Geometry of configurations, polylogarithms, and motivic cohomology , Advances in Mathematics 114 (1995), no. 2 197-318. [144] A. B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes , Math. Res. Lett. 5 (1998) 497-516, [ 1105.2076]. [145] E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725-754, [ hep-ph/9905237]. [146] J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms , Comput. Phys."},{"citing_arxiv_id":"2503.02096","ref_index":2,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Deriving motivic coactions and single-valued maps at genus zero from zeta generators","primary_cat":"hep-th","submitted_at":"2025-03-03T22:31:18+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Proves conjectural reformulation of motivic coaction and single-valued maps via zeta generators for multiple polylogarithms at genus zero on the Riemann sphere.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}