{"total":11,"items":[{"citing_arxiv_id":"2605.06542","ref_index":6,"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":"natural language for describing the cosmological wavefunctions in de Sitter (dS) space [3]. The study of scattering amplitudes inN= 4 supersymmetric Yang-Mills (SYM) theory has revolutionized our understanding of quantum field theory (see [4] for reviews). A major - 1 - ingredient in this progress is the discovery that the singularities of these amplitudes are governed by cluster algebras [5]. The hypothesis that all symbol letters [6] of six- and seven- point amplitudes in SYM theory are cluster variables of the Gr(4,6) and Gr(4,7) cluster algebras, and moreover satisfy a property known as cluster adjacency [7-9], has enabled an impressive bootstrap program which has led to the calculation of these amplitudes through five and eight loops, respectively [10-14]. Cluster adjacency is the principle that"},{"citing_arxiv_id":"2604.25270","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms","primary_cat":"hep-th","submitted_at":"2026-04-28T06:29:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Feynman integrals selected for unit leading singularities in complex geometries satisfy epsilon-factorized differential equations with new transcendental functions corresponding to periods and differential forms in the Gauss-Manin connection.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"B. Goncharov,Geometry of configurations, polylogarithms, and motivic cohomology, Adv. Math.114(1995) 197. [5] E. Remiddi and J.A.M. Vermaseren,Harmonic polylogarithms,Int. J. Mod. Phys.A15 (2000) 725 [hep-ph/9905237]. [6] T. Gehrmann and E. Remiddi,Differential equations for two-loop four-point functions,Nucl. Phys. B580(2000) 485 [hep-ph/9912329]. [7] A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich,Classical Polylogarithms for Amplitudes and Wilson Loops,Phys. Rev. Lett.105(2010) 151605 [1006.5703]. [8] C. Duhr, H. Gangl and J.R. Rhodes,From polygons and symbols to polylogarithmic functions,JHEP1210(2012) 075 [1110.0458]. [9] C. Duhr,Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes,"},{"citing_arxiv_id":"2604.22683","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Landau Analysis of One-Cycle Negative Geometries","primary_cat":"hep-th","submitted_at":"2026-04-24T16:06:10+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"In order to do that, we utilize the tools ofgeometric Landau analysis, first introduced in [40-45] to study planar amplitudes in SYM. This approach combines solving the usual Landau equations [46] to find potential singularities, together with imposing the constraints of the geometry in order to determine which ones are physical or spurious. This approach has been recently used [47] as input to help determine the symbol [2] of two- and three-loop ladder negative geometries at higher multiplicity. Several recent works have explored various algorithms for and applications of Landau analysis, including [48-55]. The paper is organized as follows. In Section 2 we provide a brief description of the fundamental objects we work with and establish some key notation. In Section 3 we illustrate"},{"citing_arxiv_id":"2604.20954","ref_index":92,"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":"(∗Two−variable:∗) FibrationBasis[Hlog[1, {1 + x, 1 + y}], {x, y}] (∗Out:−Hlog[x,{y,−1}]+Hlog[x,{y,0}]−Hlog[x,{0}]Hlog[y,{−1}] +Hlog[x,{y}]Hlog[y,{−1}]+Hlog[x,{0}]Hlog[y,{0}] −Hlog[x,{y}]Hlog[y,{0}]+Hlog[y,{0,−1}]−Hlog[y,{0,0}]−mzv[2]∗) Symbol.ConvertToSymbol[expr]converts an expression containing hyperlog- arithms and multiple polylogarithms to its \"symbol\" [92,93]. The available options are: ConvertToSymbol[expr, \"Expand\"−> True, \"DropConstants\"−> False] 68 \"Expand\" -> True(default) factors each symbol letter into irreducible polynomials viaFactorList, revealing the so-called \"symbol alphabet.\"\"DropConstants\" -> Trueremoves entries with only constant letters, following the same convention as PolyLogTools[41]."},{"citing_arxiv_id":"2604.16251","ref_index":45,"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":"singular behavior of QCD and SUSY QCD amplitudes with massive partons,Phys. Lett. B500(2001) 149-160, [hep-ph/0011222]. [43] T. Hahn,Generating Feynman diagrams and amplitudes with FeynArts 3,Comput. Phys. Commun.140(2001) 418-431, [hep-ph/0012260]. [44] R. Mertig, M. Bohm and A. Denner,FEYN CALC: Computer algebraic calculation of Feynman amplitudes, Comput. Phys. Commun.64(1991) 345-359. [45] V. Shtabovenko, R. Mertig and F. Orellana,New 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,"},{"citing_arxiv_id":"2604.08658","ref_index":41,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Differential Equations for Massive Correlators","primary_cat":"hep-th","submitted_at":"2026-04-09T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A graph-tubing combinatorial framework governs the first-order differential equations obeyed by master integrals for massive cosmological correlators in de Sitter space.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Functions of the type that will appear can be written as iterated integrals F (n) = Z d logR1 ◦ · · · ◦d logR n = Z b a \u0012Z t a d logR1 ◦ · · · ◦d logR n−1 \u0013 d logRn(t),(5.16) wherenis the transcendentality,R i are rational functions, andaandbare rational numbers. The second equality implicitly defines the composition◦of the iterated integrals as in [41]. Much of the important information about the functionF (n), including the locations of its branch points and its differential, can be reconstructed from the rational factorsR i. A convenient way to capture this information is through the so-calledsymbol[41-43]. (See [44, 45] for a review, and [4, 5, 46] for related applications in the cosmological context."},{"citing_arxiv_id":"2512.21947","ref_index":63,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Notes on off-shell conformal integrals and correlation functions at five points","primary_cat":"hep-th","submitted_at":"2025-12-26T09:48:25+00:00","verdict":"CONDITIONAL","verdict_confidence":"MODERATE","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A basis of six uniform-transcendental five-point off-shell conformal integrals is constructed and mapped to known families, yielding symbol-level two-loop results for half-BPS correlators.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.02800","ref_index":2,"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":"3) at modular depth two through the formal replacements ( E m, E dr) → (−E dr, 0) and ζ dr 2ℓ+1 → −ζ dr 2ℓ+1. These substitution rules translate the relevant contributions to the respective generating series ( Mdr σ )−1Im(ϵk; τ)Mdr σ and Mdr σ (Idr(ϵk; τ))−1(Mdr σ )−1 into one another. References [1] F. Brown, Multiple modular values and the relative completion of the fundamental group of M1,1, 1407.5167. [2] A. B. Goncharov, M. Spradlin, C. Vergu, and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops , Phys. Rev. Lett. 105 (2010) 151605, [ 1006.5703]. [3] C. Duhr, H. Gangl, and J. R. Rhodes, From polygons and symbols to polylogarithmic functions , JHEP 10 (2012) 075, [ 1110.0458]. [4] C. Duhr, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes ,"},{"citing_arxiv_id":"2505.09808","ref_index":35,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Leading singularities and chambers of Correlahedron","primary_cat":"hep-th","submitted_at":"2025-05-14T21:21:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Four-loop four-point correlator integrand in planar N=4 SYM decomposes into chamber forms identical to three loops times local integrands, with leading singularities as linear combinations of those forms and a diagonalized pure-function representation including one pure elliptic integrand.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2411.11846","ref_index":84,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Emergence of Calabi-Yau manifolds in high-precision black hole scattering","primary_cat":"hep-th","submitted_at":"2024-11-18T18:59:58+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2112.11842","ref_index":9,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Kinematics, cluster algebras and Feynman integrals","primary_cat":"hep-th","submitted_at":"2021-12-22T12:42:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}