{"total":15,"items":[{"citing_arxiv_id":"2607.01163","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"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":"2607.00071","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Towards Equations for String Amplitudes","primary_cat":"hep-th","submitted_at":"2026-06-30T17:48:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Tree-level open bosonic string amplitudes satisfy a complete system of linear difference equations in kinematic variables whose number matches the independent parameters, recovering algebraic QFT structure as alpha approaches zero.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.28494","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay","primary_cat":"hep-ph","submitted_at":"2026-06-26T18:00:03+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.09978","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Resonance and Differential Reduction of Feynman Integrals","primary_cat":"hep-th","submitted_at":"2026-06-08T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The paper develops reduction operators from resonance in GKZ systems to contract edges in Feynman graphs for one-loop, sunrise, and banana graphs, closing differential equation systems to master integrals.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.09715","ref_index":29,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Finite Massless Pentaboxes","primary_cat":"hep-ph","submitted_at":"2026-06-08T16:42:13+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Characterizes numerators yielding finite or evanescent massless pentabox integrals, gives compact generators via momentum basis and Gram determinants, and evaluates lowest-rank cases in polylogarithms and pentagon functions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.31553","ref_index":1,"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":"2605.17751","ref_index":60,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"An Alternative Viewpoint on Kinematic Flow from Tubing Splitting","primary_cat":"hep-th","submitted_at":"2026-05-18T02:10:37+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Reversing the direction of tubing evolution yields splitting rules that reproduce the kinematic flow differential equations at tree level and suggest time emerges from kinematic space in conformally coupled scalar models and tr phi^3 theory.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.07729","ref_index":79,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Genus drop involving non-hyperelliptic curves in Feynman integrals","primary_cat":"hep-th","submitted_at":"2026-05-08T13:35:27+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"The extra-involution mechanism for genus drop is a special case of unramified double covering between curves, which explains genus drops with non-hyperelliptic to hyperelliptic transitions in certain three-loop Feynman integrals.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"morphic differentials along contours that cannot be con- tracted continuously into a point. It turns out that even if we apply the maximal cut in a suboptimal way and get a higher genus, it does not mean that the result is wrong, because the periods ofC mom. andC LBL are linearly re- lated as a result of the unramified double covering via the theory of abelian varieties [79]. For a compact Riemann surface of genusg, let 5 {ω1, . . . , ωg}be a basis of holomorphic differentials and let{Γ 1, . . . ,Γ2g}be a basis of the first homology group, corresponding to the independent contours. Let Λ⊂C g be the lattice spanned by the 2gvectors vi = ( Z Γi ω1, . . . , Z Γi ωg).(30) The quotientC g/Λ is a complex torus called the Jaco-"},{"citing_arxiv_id":"2604.09129","ref_index":40,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals","primary_cat":"math.AG","submitted_at":"2026-04-10T09:11:16+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"An extension of the Griffiths-Dwork algorithm produces twisted Picard-Fuchs operators for hypergeometric, elliptic, and Calabi-Yau motives from families of Feynman integrals.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"This polynomial is a homogeneous polynomial of degreeL+ 1 in the variables xe fore∈e(Γ), whereL=b 1(Γ). ThisLis often called theloop orderof Γ. Henceforward, we will write insteadFto simplify our notation. 2.2. Feynman integrals in parametric representation Using the two polynomials associated to a graph Γ, we define a family of Feyn- man integrals [40,42] IΓ(z;D, ν ) = Z [0,+∞[e(Γ) U ν−(l+1) D 2 F ν−l D 2 δ   e(Γ)X i=1 xi −1   e(Γ)Y i=1 xνi−1 i dxi .(2.5) TWISTED PICARD-FUCHS EQUATIONS 5 where we have setν := (ν1, . . . , νe(Γ)) and collected the kinematic factors (the inter- nal massesm i and the independent scalar products between the external momenta) intoz = (⃗ s, ⃗ m). Since the coordinate scaling (x 1, ."},{"citing_arxiv_id":"2602.06947","ref_index":163,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The gravitational Compton amplitude at third post-Minkowskian order","primary_cat":"hep-th","submitted_at":"2026-02-06T18:44:09+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.","context_count":1,"top_context_role":"background","top_context_polarity":"unclear","context_text":"Dlapa, X. Li, and Y. Zhang, JHEP07, 227 (2021), arXiv:2103.04638 [hep-th]. [160] S. Weinzierl,Feynman Integrals. A Comprehensive Treatment for Students and Researchers, UNITEXT for Physics (Springer, 2022) arXiv:2201.03593 [hep-th]. [161] P. A. Baikov, (1996), arXiv:hep-ph/9604254. [162] P. A. Baikov, Phys. Lett. B385, 404 (1996), arXiv:hep- ph/9603267. [163] P. A. Baikov, Phys. Lett. B634, 325 (2006), arXiv:hep- ph/0507053. [164] H. Frellesvig, JHEP04, 111 (2025), arXiv:2412.01804 [hep-th]. [165] C. Duhr and F. Dulat, JHEP08, 135 (2019), arXiv:1904.07279 [hep-th]. [166] S. Borowka, G. Heinrich, S. Jahn, S. P. Jones, M. Kerner, J. Schlenk, and T. Zirke, Comput. Phys. Commun.222, 313 (2018), arXiv:1703."},{"citing_arxiv_id":"2511.15381","ref_index":103,"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":"2509.04974","ref_index":56,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Minkowski Space holography and Radon transform","primary_cat":"hep-th","submitted_at":"2025-09-05T09:57:09+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2504.06689","ref_index":37,"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":"background","top_context_polarity":"background","context_text":"the art of each of these categories in some detail. Here we only briefly highlight a selection of the most interesting recent advances in this area since the last wishlist. Thorough reviews of formal developments in the calculation of scattering amplitudes can be found in Ref. [36]. A modern introduction to techniques for computing multi-loop Feynman integrals can be found in Ref. [37]. Further details on recent developments can be found in the SAGEX review [38,39] and Snowmass White Paper [40]. The use of integration-by-parts (IBP) identities [41-43], Lorenz invariance (LI) [44], and dimension shift relations [45,46] remains a critically important technique in modern loop cal- culations, but also presents a major bottleneck. Several efficient codes exist to facilitate their"},{"citing_arxiv_id":"2410.02620","ref_index":68,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Comments on Celestial CFT and $AdS_{3}$ String Theory","primary_cat":"hep-th","submitted_at":"2024-10-03T15:59:26+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Extends H3+-WZNW celestial CFT to holographically generate MHV amplitudes in Klein space, deriving dictionary, stress tensor, correlators, OPE and PDEs from KZ equations.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2305.15473","ref_index":146,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter","primary_cat":"hep-th","submitted_at":"2023-05-24T18:00:04+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"B Details of the Feynman integral computation used in Section (4.5) The integral in (4.41) can be evaluated as follows: I1 = Z k,k1 k1ik1j ei⃗k·⃗ r ⃗k2 [(⃗k − ⃗k1)2 + m2](⃗k2 1 + m2) , = Z k ei⃗k·⃗ r ⃗k2 Z k1 k1ik1j (⃗k2 1 + m2)[(⃗k1 − ⃗k)2 + m2]| {z } kikj B21+δij B22 . (B.1) - 63 - Then the tensor integral in (B.1) can be reduced to a scalar integral using Passarino-Veltman reduction [146, 164] whereB21,22 is given by, B21 = 1 2⃗k2 h3 2 ⃗k2 B1 + m2 B0 − 1 2 A0(im) i , B22 = 1 4 h − B1⃗k2 − 2m2B0 − A0(im) i , (B.2) where B0 = Z k1 1 (⃗k2 1 + m2)[(⃗k1 − ⃗k)2 + m2] =    1 8|⃗k| h 1 − 2 π arctan \u0010 2m k \u0011i , ⃗k2 > m2 1 4π|⃗k| arctan(|⃗k|/2m), ⃗k2 < m2 = 1 4π|⃗k| arctan(|⃗k|/2m), ⃗k2 > 0 uoiu (B.3) and B1, A0(im) are given by, B1 = 1 2 B0 = 1"}],"limit":50,"offset":0}