{"total":22,"items":[{"citing_arxiv_id":"2606.02485","ref_index":46,"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":"2605.25863","ref_index":20,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Linac: linear algebra with CUDA over finite fields","primary_cat":"physics.comp-ph","submitted_at":"2026-05-25T13:54:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Linac provides a high-performance open-source CUDA implementation of Gaussian elimination over finite fields and floating-point arithmetic for analytic reconstruction of scattering amplitudes in quantum field theory.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21314","ref_index":51,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"$B_c \\to \\eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check","primary_cat":"hep-ph","submitted_at":"2026-05-20T15:43:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff regularization.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.04009","ref_index":91,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"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":"method","top_context_polarity":"background","context_text":"interaction (2.1). In this implementation the embedding-space dimensionDs can be set to even integer values. To implement the 't Hooft-Veltman scheme of dimensional regularization, we require the analytic dependence on the state-counting parameterD s, which is subsequently set toD s = 4−2ϵ. Our numerical approach allows the use of dimensional reconstruction [91] to obtain the analyticDs dependence by sampling overDs ∈ {6,8,10}. However, to reduce computational costs, we extended the dimensional reduction method [53, 54, 92, 93] for Higgs-gluon Feynman rules, allowing theD s dependence to be tracked analytically via auxiliary scalar and fermionic states. Compared to sampling overD s, we observed with this approach shorter runtimes by{10%,45%,80%}and memory-use reduction by"},{"citing_arxiv_id":"2604.27314","ref_index":41,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Planar master integrals for two-loop NLO electroweak light-fermion contributions to $g g \\rightarrow Z H$","primary_cat":"hep-ph","submitted_at":"2026-04-30T01:55:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Analytic expressions for the planar master integrals in two-loop NLO EW light-fermion contributions to gg → ZH are derived via canonical differential equations and expressed using Goncharov polylogarithms or one-fold integrals over them.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"The derivative of any scalar Feynman integral with respect to kinematic invariants can be reduced, via IBP identities, to linear combinations of integrals within the same family branch, implying that the branch is closed under differentiation with respect to these invariants. Consequently, the corresponding MIs satisfy a closed system of linear differential equations in these variables. We employ LiteRed [41, 42] to perform the differentiation, and use Kira to carry out the reduction, thereby obtaining a coupled system of linear differential equations satisfied by the MIs. However, obtaining analytic solutions to such multivariable systems of differential equations is, in general, a highly nontrivial task. If there exists a basis ⃗ g(⃗ x, ϵ) in which the differential equations can be cast into a canonical (or ϵ-factorized) form,"},{"citing_arxiv_id":"2604.24841","ref_index":47,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Next-to-next-to-leading QCD corrections to the $\\mathbf{B^+}$-$\\mathbf{B_d^0}$, $\\mathbf{D^+}$-$\\mathbf{D^0}$, and $\\mathbf{D_s^+}$-$\\mathbf{D^0}$ lifetime ratios","primary_cat":"hep-ph","submitted_at":"2026-04-27T18:00:00+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"As mentioned in Section 2, we neglect isospin singlet contributions (see Fig. 6) to the total decay rate. At NNLO, in addition, we consider the CKM-favoured processes only, neglecting the CKM-suppressed terms proportional to|λccd|2,λ′ cud and |λuud|2. Effectively, at this order, we set|Vub|= 0,|Vcd|= 0 and|Vud|= 1. We process the Feynman amplitudes usingtapir[47], which outputs them asFORMcode. This step requires some attention, since we deal with four-fermion effective vertices. We find it convenient to separate the four-particle vertices in two three-particle vertices, introducing an auxiliary particle. The corresponding Feynman rules are chosen such that the Lorentz and colour structure of the desired operators is reproduced correctly."},{"citing_arxiv_id":"2604.20954","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"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":"von Manteuffel and C. Studerus,Reduze 2 - Distributed Feynman Integral Reduction,1201.4330. [18] R.N. Lee,LiteRed 1.4: a powerful tool for reduction of multiloop integrals,J. Phys. Conf. Ser.523(2014) 012059 [1310.1145]. [19] P. Maierhöfer, J. Usovitsch and P. Uwer,Kira-A Feynman integral reduction program,Comput. Phys. Commun.230(2018) 99 [1705.05610]. [20] J. Klappert, F. Lange, P. Maierhöfer and J. Usovitsch,Integral reduction with Kira 2.0 and finite field methods,Comput. Phys. Commun.266(2021) 108024 [2008.06494]. 78 [21] A. Georgoudis, K.J. Larsen and Y. Zhang,Azurite: An algebraic geometry based package for finding bases of loop integrals,Comput. Phys. Commun. 221(2017) 203 [1612.04252]. [22] Z."},{"citing_arxiv_id":"2604.19232","ref_index":94,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Progress on the soft anomalous dimension in QCD","primary_cat":"hep-ph","submitted_at":"2026-04-21T08:36:24+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"recent advances,2505.01368. [92] G. Heinrich, S. Jahn, S. P. Jones, M. Kerner, F. Langer, V. Magerya, A. Pöldaru, J. Schlenk, and E. Villa,Expansion by regions with pySecDec,Comput. Phys. Commun.273(2022) 108267, [2108.10807]. [93] P. Maierhöfer, J. Usovitsch, and P. Uwer,Kira-A Feynman integral reduction program, Comput. Phys. Commun.230(2018) 99-112, [1705.05610]. [94] J. Klappert, F. Lange, P. Maierhöfer, and J. Usovitsch,Integral reduction with Kira 2.0 and finite field methods,Comput. Phys. Commun.266(2021) 108024, [2008.06494]. [95] F. Lange, J. Usovitsch, and Z. Wu,Kira 3: integral reduction with efficient seeding and optimized equation selection,2505.20197. [96] R. N. Lee,Presenting LiteRed: a tool for the Loop InTEgrals REDuction,1212."},{"citing_arxiv_id":"2604.18678","ref_index":52,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"The perturbative Ricci flow in gravity","primary_cat":"hep-th","submitted_at":"2026-04-20T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"A perturbative Ricci-flow formulation in gravity yields a renormalization scheme for Newton's constant that exhibits a non-Gaussian fixed point at two-loop order.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Prausa, JHEP06, 121, [Erratum: JHEP 10, 032 (2019)], arXiv:1905.00882 [hep-lat]. [48] P. Nogueira, J. Comput. Phys.105, 279 (1993). [49] R. Harlander, T. Seidensticker, and M. Steinhauser, Phys. Lett. B426, 125 (1998), arXiv:hep-ph/9712228. [50] P. Nogueira, Comput. Phys. Commun.269, 108103 (2021). [51] M. Gerlach, F. Herren, and M. Lang, Comput. Phys. Commun.282, 108544 (2023). [52] J. Klappert, F. Lange, P. Maierh¨ ofer, and J. Uso- vitsch, Comput. Phys. Commun.266, 108024 (2021), arXiv:2008.06494 [hep-ph]. [53] H. Makino and H. Suzuki, PTEP2014, 063B02 (2014), [Erratum: PTEP 2015, 079202 (2015)], arXiv:1403.4772 [hep-lat]. [54] J. Ambjørn and J. Jurkiewicz, Phys. Lett. B278, 42 (1992). [55] M. E. Agishtein and A. A. Migdal, Mod."},{"citing_arxiv_id":"2604.18516","ref_index":62,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Three loop QCD corrections to electroweak radiative parameters","primary_cat":"hep-ph","submitted_at":"2026-04-20T17:12:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"181, 1419 (2010), arXiv:hep- ph/0702279 . 8 [58] F. V. Tkachov, Phys. Lett. B100, 65 (1981). [59] K. G. Chetyrkin and F. V. Tkachov, Nucl. Phys. B 192, 159 (1981). [60] S. Laporta, Int. J. Mod. Phys. A15, 5087 (2000), arXiv:hep-ph/0102033 . [61] P. Maierhöfer, J. Usovitsch, and P. Uwer, Comput. Phys. Commun.230, 99 (2018), arXiv:1705.05610 [hep-ph] . [62] J. Klappert, F. Lange, P. Maierhöfer, and J. Uso- vitsch, Comput. Phys. Commun.266, 108024 (2021), arXiv:2008.06494 [hep-ph] . [63] F. Lange, J. Usovitsch, and Z. Wu, (2025), arXiv:2505.20197 [hep-ph] . [64] R. N. Lee, (2012), arXiv:1212.2685 [hep-ph] . [65] R. N. Lee, J. Phys. Conf. Ser.523, 012059 (2014), arXiv:1310.1145 [hep-ph] . [66] H. Ferguson and D."},{"citing_arxiv_id":"2604.14549","ref_index":121,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Loop integrals in de Sitter spacetime: The parity-split IBP system and $\\mathrm{d}\\log$-form differential equations","primary_cat":"hep-th","submitted_at":"2026-04-16T02:30:24+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"valid for general spatial dimensiond. For later use, note that dz i = 2xi dxi, so that a factorx −bi i in thez i repre- sentation is shifted by one power when rewritten in terms ofx i: I[{n},{a 1, a2},{b 1, b2}]∼ Z · · · × dz1 xb1 1 dz2 xb2 2 = Z · · · ×4 dx1 xb1−1 1 dx2 xb2−1 2 .(17) The Baikov representation also allows the dimensional recurrence relations [121, 122] to be carried over from flat spacetime to dS space; the relevant relation is given in (68). Since IBP shifts the indicesa i andb i only by integers, it is convenient to absorb the commonν-dependent off- sets into the index notation and rewrite I[{n},{a 0 +a ′ 1, a0 +a ′ 2},{b 0 +b ′ 1, b0 +b ′ 2}] →I[{n},{a ′ 1, a′ 2},{b ′ 1, b′ 2}] (18) where, as seen from (9), these shifts are"},{"citing_arxiv_id":"2604.12613","ref_index":100,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"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":"⟨ij⟩and [ij],where 1≤i <6, i < j≤6.(6) We probe the rational coefficients in the amplitude given finite-field values for these spinor products [99]. Further- more, we can use probes onp-adic fields by converting p-adic numbers to integers, reconstructing the result as a rational number usingFireFly, and converting the ra- tional number back to ap-adic number (see Ref. [100] for details). In accordance with the letters of the function alphabet of the integrals [97], the denominators of the rational coefficients can only contain factors contained in the set D≡ {⟨ij⟩,[ij], s ijk ,⟨i|j+k|i],⟨i|j+k|l],∆ ij|kl|mn },(7) where⟨i|j+k|l]≡ ⟨ij⟩[jl] +⟨ik⟩[kl] and ∆ ij|kl|mn ≡ 1 4 λ(sij, skl, smn) with the K¨ all' en functionλ(x, y, z)≡"},{"citing_arxiv_id":"2604.09810","ref_index":21,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Feynman integral reduction by covariant differentiation","primary_cat":"hep-ph","submitted_at":"2026-04-10T18:34:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Covariant differentiation on the dual vector space spanned by master integrals reduces a large class of Feynman integrals to masters, with connections reusable across mass configurations.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"modular arithmetic,Comput. Phys. Commun.247(2020) 106877 [1901.07808]. [18] A. V. Smirnov and M. Zeng,FIRE 7: Automatic Reduction with Modular Approach, 2510.07150. [19] P. Maierh¨ ofer, J. Usovitsch and P. Uwer,Kira-A Feynman integral reduction program,Comput. Phys. Commun.230(2018) 99 [1705.05610]. [20] P. Maierh¨ ofer and J. Usovitsch,Kira 1.2 Release Notes,1812.01491. [21] J. Klappert, F. Lange, P. Maierh¨ ofer and J. Usovitsch,Integral reduction with Kira 2.0 and finite field methods,Comput. Phys. Commun.266(2021) 108024 [2008.06494]. [22] D. A. Kosower,Direct Solution of Integration-by-Parts Systems,Phys. Rev. D98 (2018) 025008 [1804.00131]. [23] B. Feng, X. Li, Y. Liu, Y.-Q. Ma and Y. Zhang,Symbolic Reduction of Multi-loop"},{"citing_arxiv_id":"2604.08332","ref_index":28,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"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":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.05034","ref_index":15,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Learning to Unscramble Feynman Loop Integrals with SAILIR","primary_cat":"hep-ph","submitted_at":"2026-04-06T18:00:04+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"A self-supervised transformer learns to unscramble Feynman integrals for online IBP reduction, delivering bounded memory use on complex two-loop topologies while matching Kira's speed on the hardest cases tested.","context_count":1,"top_context_role":"baseline","top_context_polarity":"baseline","context_text":"(2014), arXiv:1310.1145 [hep-ph]. [13] P. Kant, \"Finding linear dependencies in integration-by- parts equations: A Monte Carlo approach,\" Comput. Phys. Commun.185, 1473 (2014), arXiv:1309.7287 [hep- ph]. [14] 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]. [15] T. Peraro, \"FiniteFlow: multivariate functional recon- struction using finite fields and dataflow graphs,\" JHEP 07, 031 (2019), arXiv:1905.08019 [hep-ph]. [16] J. Klappert and F. Lange, \"Reconstructing rational functions with FireFly,\" Comput. Phys. Commun.247, 106951 (2020), arXiv:1904.00009 [cs.SC]. [17] Z. Wu, J. Boehm, R. Ma, H. Xu, and Y. Zhang, \"Neat-"},{"citing_arxiv_id":"2604.05025","ref_index":14,"ref_count":1,"confidence":0.9,"is_internal_anchor":true,"paper_title":"Feynman integral reduction with intersection theory made simple","primary_cat":"hep-th","submitted_at":"2026-04-06T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Branch representation reduces the variable count for intersection-theory-based Feynman integral reduction to at most 3L-3 for L-loop integrals regardless of leg number.","context_count":1,"top_context_role":"baseline","top_context_polarity":"baseline","context_text":"systems constructed according to the poles of the connec- tion matrix Ω (n). As is well-known, the computational complexity for solving a system ofNlinear equations scales asO(N 3). It is therefore meaningful to compare the sizes of the linear systems generated in the compu- tation of intersection numbers with those generated by IBP programs such asKira 3[14]. We consider the pentabox family in Fig. 1, with re- duction targets with no numerators and up to 2 dots, e.g.,J(1,1,1,1,1,2,2,1). InKira 3, for these targets, we need to set{r: 10, s: 1, d: 2}, and the program generates a linear system with approximately 1.9×10 5 equations. On the other hand, our intersection-number computations need to solve a set of much smaller lin-"},{"citing_arxiv_id":"2603.15751","ref_index":35,"ref_count":1,"confidence":0.9,"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":46,"ref_count":1,"confidence":0.9,"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":"background","top_context_polarity":"background","context_text":"dataflow graphs,JHEP07(2019) 031, [1905.08019]. [44] A. V. Smirnov and F. S. Chukharev,FIRE6: Feynman Integral REduction with modular arithmetic,Comput. Phys. Commun.247(2020) 106877, [1901.07808]. [45] J. Klappert, S. Y. Klein and F. Lange,Interpolation of dense and sparse rational functions and other improvements in FireFly,Comput. Phys. Commun.264(2021) 107968, [2004.01463]. [46] J. Klappert, F. Lange, P. Maierhöfer and J. Usovitsch,Integral reduction with Kira 2.0 and finite field methods,Comput. Phys. Commun.266(2021) 108024, [2008.06494]. [47] S. Badger, D. Chicherin, T. Gehrmann, G. Heinrich, J. M. Henn, T. Peraro et al.,Analytic form of the full two-loop five-gluon all-plus helicity amplitude,Phys. Rev. Lett.123(2019)"},{"citing_arxiv_id":"2511.11424","ref_index":39,"ref_count":1,"confidence":0.9,"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":"Febres Cordero, G. Figueiredo, M. Kraus, B. Page and L. Reina,Two-loop master integrals for leading-colorpp→t tHamplitudes with a light-quark loop,JHEP07(2024) 084, [2312.08131]. [38] T. Gehrmann, J. Henn, P. Jakubčík, J. Lim, C. C. Mella, N. Syrrakos et al.,Graded transcendental functions: an application to four-point amplitudes with one off-shell leg,2410.19088. [39] A. von Manteuffel and R. M. Schabinger,A novel approach to integration by parts reduction,Phys. Lett. B744(2015) 101-104, [1406.4513]. [40] T. Peraro,Scattering amplitudes over finite fields and multivariate functional reconstruction,JHEP 12(2016) 030, [1608.01902]. [41] J. Klappert and F. Lange,Reconstructing rational functions with FireFly,Comput."},{"citing_arxiv_id":"2504.06689","ref_index":59,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"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":"von Manteuffel and C. Studerus,Reduze 2 - Distributed Feynman Integral Reduction, arXiv:1201.4330 [hep-ph]. 8 [57] P. Maierhöfer, J. Usovitsch, and P. Uwer,Kira-A Feynman integral reduction program, Comput. Phys. Commun.230(2018) 99-112,arXiv:1705.05610 [hep-ph]. 8 [58] P. Maierhöfer and J. Usovitsch,Kira 1.2 Release Notes,arXiv:1812.01491 [hep-ph]. 8 [59] J. Klappert, F. Lange, P. Maierhöfer, and J. Usovitsch,Integral reduction with Kira 2.0 and finite field methods, Comput. Phys. Commun.266(2021) 108024, arXiv:2008.06494 [hep-ph]. 8 [60] X. Guan, X. Liu, Y.-Q. Ma, and W.-H. Wu,Blade: A package for block-triangular form improved Feynman integrals decomposition, Comput. Phys. Commun.310(2025) 109538,arXiv:2405."},{"citing_arxiv_id":"2412.15962","ref_index":11,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Feynman Integral Reduction without Integration-By-Parts","primary_cat":"hep-th","submitted_at":"2024-12-20T14:57:51+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Contour equivalence in Feynman parameterization yields universal reduction formulas for one-loop integrals without integration-by-parts.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2411.11846","ref_index":76,"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}],"limit":50,"offset":0}