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We study, in the context of the three-dimensional ${\cal N}=6$ Chern-Simons-matter (ABJM) theory, the infrared-finite functions that result from performing $L-1$ loop integrations over the $L$-loop integrand of the logarithm of the…

高能物理 - 理论 · 物理学 2024-02-28 Johannes M. Henn , Martín Lagares , Shun-Qing Zhang

A factorization formalism for jet processes involving massive colored particles such as the top quark is developed, extending earlier results for the massless case. The factorization of soft emissions from the underlying hard process is…

高能物理 - 唯象学 · 物理学 2020-06-02 Marcel Balsiger , Thomas Becher , Andrea Ferroglia

We calculate the four-point correlation function of half-BPS operators with weights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlation function provides a nontrivial check of the integrability conjecture for a class of…

高能物理 - 理论 · 物理学 2015-06-22 Dmitry Chicherin , Emery Sokatchev

We study the strong coupling behaviour of $1/4$-BPS circular Wilson loops (a family of "latitudes") in ${\cal N}=4$ Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in…

高能物理 - 理论 · 物理学 2016-03-23 V. Forini , V. Giangreco M. Puletti , L. Griguolo , D. Seminara , E. Vescovi

We numerically study the topologically twisted index of several three-dimensional supersymmetric field theories on a genus $g$ Riemann surface times a circle, $\Sigma_g\times S^1$. We show that for a large class of theories with leading…

高能物理 - 理论 · 物理学 2021-01-13 Leopoldo A. Pando Zayas , Yu Xin

We compute angular phase-space integrals with three and four denominators analytically, working within dimensional regularisation via the Mellin-Barnes (MB) representation. The approach converts multifold MB integrals into real parametric…

高能物理 - 唯象学 · 物理学 2026-04-03 Taushif Ahmed , Syed Mehedi Hasan , Andreas Rapakoulias

Higher order coefficients of the inverse mass expansion of one-loop effective actions are obtained from a one-dimensional path integral representation. For the case of a massive scalar loop in the background of both a scalar potential and a…

高能物理 - 理论 · 物理学 2009-10-30 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

We present predictions of two event shape distributions, the light hemisphere mass and the narrow jet broadening, to next-to-leading logarithmic order. We apply the coherent branching formalism to resum the leading O(alphas^n L^{2n-1}) and…

高能物理 - 唯象学 · 物理学 2010-02-03 S. J. Burby , E. W. N. Glover

Understanding the Bondi-Metzner-Sachs (BMS) frame of the gravitational waves produced by numerical relativity is crucial for ensuring that analyses on such waveforms are performed properly. It is also important that models are built from…

The aim of this paper is to describe efficient algorithms for computing Maass waveforms on subgroups of the modular group PSL(2,Z) with general multiplier systems and real weight. A selection of numerical results obtained with these…

数论 · 数学 2007-05-23 Fredrik Strömberg

We calculate the two-mass three-loop contributions to the unpolarized and polarized massive operator matrix elements $\tilde{A}_{Qg}^{(3)}$ and $\Delta \tilde{A}_{Qg}^{(3)}$ in $x$-space for a general mass ratio by using a semi-analytic…

高能物理 - 唯象学 · 物理学 2025-10-13 J. Ablinger , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the…

高能物理 - 理论 · 物理学 2009-11-19 V. Del Duca , E. W. N. Glover

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

高能物理 - 理论 · 物理学 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

We provide high-energy approximations for all one-loop scalar 3- and 4-point functions and the corresponding tensor integrals that appear in scattering processes with four external on-shell particles. Our expressions are valid if all…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Roth , A. Denner

We evaluated all two-loop conformal integrals of scalar half-BPS six-point functions in $\mathcal{N} = 4$ SYM restricted to a configuration where all points lie on a line. Moreover, we also computed some of these integrals in the…

高能物理 - 理论 · 物理学 2024-02-14 Ricardo Rodrigues

Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two equal masses that contribute to the massive operator matrix…

高能物理 - 唯象学 · 物理学 2014-09-05 J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider

We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals. The results are expressed in terms of generalised polylogarithms up to…

高能物理 - 理论 · 物理学 2023-05-24 Johannes M. Henn , Jungwon Lim , William J. Torres Bobadilla

An improved method is presented for the numerical evaluation of multi-loop integrals in dimensional regularization. The technique is based on Mellin-Barnes representations, which have been used earlier to develop algorithms for the…

高能物理 - 唯象学 · 物理学 2014-11-20 Ayres Freitas , Yi-Cheng Huang

The B -> X_s l+ l- decay rate is known at the next-to-next-to-leading order in QCD. It is proportional to alpha_em (mu)^2 and has a +- 4% scale uncertainty before including the O(alpha_em log(M_W^2/m_b^2)) electromagnetic corrections. We…

高能物理 - 唯象学 · 物理学 2011-10-13 T. Huber , E. Lunghi , M. Misiak , D. Wyler

We investigate the topological string correspondence of the five-dimensional half-BPS Wilson loops on $S^1$. First, we propose the refined holomorphic anomaly equations for the BPS sectors of the Wilson loop expectation values. We then…

高能物理 - 理论 · 物理学 2023-05-17 Xin Wang