Results 21 to 30 of about 1,423 (86)
On a basic integral formula involving Generalized Mellin - Barnes Type of contour integrals
IOSR Journal of Mathematics, 2013 . Abstract: The aim of the present paper is to study some new unified integral formulas associated with ...
openaire +1 more source
Spinning AdS Loop Diagrams: Two Point Functions [PDF]
, 2018 We develop a systematic approach to evaluating AdS loop amplitudes based on the spectral (or "split") representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree diagrams. In this work
Giombi, Simone +2 more
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New four-dimensional integrals by Mellin-Barnes transform
, 2010 This paper is devoted to the calculation by Mellin-Barnes transform of a especial class of integrals. It contains double integrals in the position space in d = 4-2e dimensions, where e is parameter of dimensional regularization.
Cvetič G. +6 more
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The Nuker model for galactic nuclei [PDF]
, 2019 The Nuker profile, characterised by an inner and outer power-law profile smoothly merged around a break radius, is a very popular model to describe the surface brightness profile of galactic nuclei.
Baes, Maarten
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All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams [PDF]
, 2002 A detailed investigation is presented of a set of algorithms which form the basis for a fast and reliable numerical integration of one-loop multi-leg (up to six) Feynman diagrams, with special attention to the behavior around (possibly) singular points ...
't Hooft +62 more
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Four-Loop Cusp Anomalous Dimension From Obstructions
, 2007 We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants.
Anastasia Volovich +6 more
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On the computation of finite bottom-quark mass effects in Higgs boson production [PDF]
, 2016 We present analytic results for the partonic cross-sections contributing to the top-bottom interference in Higgs production via gluon fusion at hadron colliders at NLO accuracy in QCD.
Mueller, Romain, Öztürk, Deniz Gizem
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Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
Dual Pairs of Gauged Linear Sigma Models and Derived Equivalences of Calabi-Yau threefolds
, 2017 In this work we study the phase structure of skew symplectic sigma models, which are a certain class of two-dimensional N = (2,2) non-Abelian gauged linear sigma models.
Gerhardus, Andreas, Jockers, Hans
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Gluon Regge trajectory at two loops from Lipatov's high energy effective action [PDF]
, 2013 We present the derivation of the two-loop gluon Regge trajectory using Lipatov's high energy effective action and a direct evaluation of Feynman diagrams.
Chachamis, G. +3 more
core +2 more sources