AMBRE—a Mathematica package for the construction of Mellin–Barnes representations for Feynman integrals

J. Gluza, K. Kajda, T. Riemann

Type: Article

Publication Date: 2007-07-31

Citations: 165

DOI: https://doi.org/10.1016/j.cpc.2007.07.001

View Publication

Download PDF

Locations

Computer Physics Communications - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Mellin-Barnes Integrals	2022	Ievgen Dubovyk Janusz Gluza G. Somogyi
+ PDF Chat	Salvatore Pincherle: the pioneer of the Mellin–Barnes integrals	2003	Francesco Mainardi Gianni Pagnini
+	Mellin–Barnes integrals and Mellin convolution integrals	2014
+	Feynman diagrams and Mellin-Barnes integrals	2017	Tord Riemann
+ PDF Chat	Evaluating multiloop Feynman integrals by Mellin-Barnes representation	2004	Vladimir A. Smirnov
+ PDF Chat	Mellin–Barnes meets Method of Brackets: a novel approach to Mellin–Barnes representations of Feynman integrals	2017	Mario Prausa
+	Construction of a Monte-Carlo method for calculating Feynman integrals	1986	В. С. Филинов
+	MB tools reloaded	2022	A.V. Belitsky Alexander V. Smirnov Vladimir A. Smirnov
+ PDF Chat	Asymptotic expansions of Feynman diagrams and the Mellin-Barnes representation	2007	Samuel Friot David Greynat
+	Mellin-Barnes Integrals: A Primer on Particle Physics Applications	2022	Ievgen Dubovyk J. Gluza G. Somogyi
+ PDF Chat	DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions	2021	Martijn Hidding
+	Automatizing the application of Mellin-Barnes representations for Feynman integrals	2007	J. Gluza Fernando Haas K. Kajda T. Riemann
+ PDF Chat	Non-planar Feynman diagrams and Mellin-Barnes representations with AMBRE 3.0	2015	Ievgen Dubovyk J. Gluza T. Riemann
+ PDF Chat	FIRE5: A C++ implementation of Feynman Integral REduction	2014	Alexander V. Smirnov
+	MB Tools reloaded	2022	A. V. Belitsky A. V. Smirnov V. A. Smirnov
+	Asymptotics of Feynman diagrams and the Mellin–Barnes representation	2005	Samuel Friot David Greynat Eduardo de Rafael
+	Computer-algebraic calculation methods for Feynman integrals	2015	J. Blümlein
+	The Mathematica GuideBook for Numerics	2006	Michael Trott
+	Computer generation of integrands for Feynman parametric integrals	1973	Predrag Cvitanović A. Visconti
+	Feynman Integrals: a Brief Review	2007

Works That Cite This (133)

Action	Title	Year	Authors
+ PDF Chat	Hypergeometric structures in Feynman integrals	2023	J. Blümlein M. Saragnese Carsten Schneider
+	Towards an efficient method to compute two-loop scalar amplitudes	2020	J.Ph. Guillet E. Pilon Yusuke Shimizu M S Zidi
+ PDF Chat	Collider physics at the precision frontier	2021	Gudrun Heinrich
+ PDF Chat	Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d, II: special kinematics	2020	Khiem Hong Phan
+	Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d	2019	Khiem Hong Phan T. Riemann
+	Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions	2016	Ievgen Dubovyk J. Gluza T. Riemann Johann Usovitsch
+	Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change	2023	M. A. Bezuglov A. I. Onishchenko
+	Three-loop planar master integrals for heavy-to-light form factors	2018	Long-Bin Chen Jian Wang
+ PDF Chat	Analytic computing methods for precision calculations in quantum field theory	2018	J. Blümlein Carsten Schneider
+ PDF Chat	Master integrals for the two-loop penguin contribution in non-leptonic B-decays	2014	Guido Bell Tobias Huber

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Standard and ϵ-finite master integrals for the ρ-parameter	2007	M. Faisst Philipp Maierhöfer Christian Sturm
+ PDF Chat	ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model	2000	J. Fleischer M.Yu. Kalmykov
+ PDF Chat	The planar four-point master integrals for massive two-loop Bhabha scattering	2006	M. Czakon J. Gluza T. Riemann
+ PDF Chat	Automatized analytic continuation of Mellin–Barnes integrals	2006	M. Czakon
+ PDF Chat	Two-Loop Iteration of Five-Point<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Super-Yang-Mills Amplitudes	2006	Zvi Bern M. Czakon David A. Kosower Radu Roiban Vladimir A. Smirnov
+ PDF Chat	Differential equations and massive two-loop Bhabha scattering: the B5l2m3 case	2006	M. Czakon J. Gluza K. Kajda T. Riemann
+ PDF Chat	Single scale tadpoles and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>G</mml:mi><mml:mi>F</mml:mi></mml:msub><mml:msubsup><mml:mi>m</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>3</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math> corrections to the ρ parameter	2006	Radja Boughezal M. Czakon
+ PDF Chat	-XSummer- Transcendental functions and symbolic summation in Form	2006	S. Moch P. Uwer
+	Analytical result for dimensionally regularized massive on-shell planar double box	2002	Vladimir A. Smirnov
+ PDF Chat	Master integrals for massive two-loop Bhabha scattering in QED	2005	M. Czakon J. Gluza T. Riemann