Results 31 to 40 of about 1,718 (95)

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, Abarbanel, Andrea Ferroglia, Bardin, Bardin, Bauberger, Bauer, Beenakker, Beenakker, Bern, Bern, Bern, Bern, Bern, Bern, Bertstein, Binoth, Binoth, Binoth, Boos, Caravaglios, Cutkosky, Davydychev, Davydychev, Davydychev, Davydychev, Denner, Devaraj, Easther, Eden, Erdelyi, Fleischer, Fujimoto, Giampiero Passarino, Hepp, Karplus, Kershaw, Kotikov, Kotikov, Källen, Landau, Levy, Lewin, Massimo Passera, Montagna, Montagna, Passarino, Passarino, Passarino, Passarino, Roth, Sandro Uccirati, Slater, Steinhauser, Sterman, Tarasov, Tkachov, Tkachov, Tkachov, van Neerven, Vermaseren, Weinzierl, Wu   +62 more
core   +2 more sources

Applications of the Mellin-Barnes integral representation [PDF]

, 1995
We apply the Mellin-Barnes integral representation to several situations of interest in mathematical-physics. At the purely mathematical level, we derive useful asymptotic expansions of different zeta-functions and partition functions.
Actor A, Actor A, Actor A, Actor A, Actor A, Actor A, Andrews G E, Belavin A, Bender C M, Bernard C W, Bleistein N, Buchbinder I L, Casimir H B G, Copson E T, Critchley R, Denardo G, Dowker J S, Duistermaat J J, E Elizalde, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Erdelyi A, Goncharov Y P, Gradshteyn I S, Hawking S W, Hejhal D A, Jorgenson J, K Kirsten, Kapusta J I, Kirsten K, La Veque W J, McLachlan A, McLachlan A, Meinardus G, Meinardus G, Olver F W J, Ray D B, S Zerbini, Seeley R T, Toms D J, Voros A, Wolpert S A   +45 more
core   +2 more sources

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

On the equivalence of GPD representations

, 2016
Phenomenological representations of generalized parton distributions (GPDs) implementing the non-trivial field theoretical requirements are employed in the present day strategies for extracting of hadron structure information encoded in GPDs from the ...
Müller, Dieter, Semenov-Tian-Shansky, Kirill   +1 more
core   +2 more sources

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, Sleight, Charlotte, Taronna, Massimo   +2 more
core   +2 more sources

Space‐Time Smoothness and Parsimony in Covariance Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13247-13259, September 2025.
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi, Emilio Porcu, Moreno Bevilacqua   +2 more
wiley   +1 more source

Finite Integral Formulas Involving Multivariable Aleph‐Functions

Journal of Applied Mathematics, Volume 2019, Issue 1, 2019., 2019
The integrals evaluated are the products of multivariable Aleph‐functions with algebraic functions, Jacobi polynomials, Legendre functions, Bessel‐Maitland functions, and general class of polynomials. The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various ...
Hagos Tadesse, D. L. Suthar, Minilik Ayalew, Kai Diethelm   +3 more
wiley   +1 more source

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, B. Eden, Freddy Cachazo, Marcus Spradlin, N. Beisert, T. Gehrmann, V. A. Smirnov   +6 more
core   +1 more source

HQET quark-gluon vertex at one loop [PDF]

, 2001
We calculate the HQET quark-gluon vertex at one loop, for arbitrary external momenta, in an arbitrary covariant gauge and space-time dimension. Relevant results and algorithms for the three-point HQET integrals are presented.
Davydychev, A. I., Grozin, A. G.
core   +3 more sources

Reconciling Variability in Multiple Stressor Effects Using Environmental Performance Curves

Ecology Letters, Volume 28, Issue 1, January 2025.
Our experiments with 12 bacterial taxa, demonstrate that additional stressors significantly alter the shape of temperature, pH and salinity performance curves. This in turn leads to changes in emergent stressor interaction outcomes—for example, shifts between additive, antagonistic or synergistic interactions—along gradients, revealing that small ...
Hebe Carmichael, Ruth Warfield, Gabriel Yvon‐Durocher   +2 more
wiley   +1 more source