Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation
Published 2017 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation
Authors
Keywords
Differential and Algebraic Geometry, Scattering Amplitudes
Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume 2017, Issue 7, Pages -
Publisher
Springer Nature
Online
2017-07-08
DOI
10.1007/jhep07(2017)031
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- HYPERDIRE—HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella functionFCof three variables
- (2016) Vladimir V. Bytev et al. COMPUTER PHYSICS COMMUNICATIONS
- Maximally reducible monodromy of bivariate hypergeometric systems
- (2016) T M Sadykov et al. IZVESTIYA MATHEMATICS
- The iterated structure of the all-order result for the two-loop sunrise integral
- (2016) Luise Adams et al. JOURNAL OF MATHEMATICAL PHYSICS
- Master integrals for the four-loop Sudakov form factor
- (2016) Rutger H. Boels et al. NUCLEAR PHYSICS B
- Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
- (2016) Ettore Remiddi et al. NUCLEAR PHYSICS B
- Three-loop vacuum integrals with arbitrary masses
- (2016) Ayres Freitas JOURNAL OF HIGH ENERGY PHYSICS
- A Feynman integral via higher normal functions
- (2015) Spencer Bloch et al. COMPOSITIO MATHEMATICA
- HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables
- (2015) Vladimir V. Bytev et al. COMPUTER PHYSICS COMMUNICATIONS
- The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
- (2015) Luise Adams et al. JOURNAL OF MATHEMATICAL PHYSICS
- The elliptic dilogarithm for the sunset graph
- (2015) Spencer Bloch et al. JOURNAL OF NUMBER THEORY
- REDUCIBILITY OF THE SYSTEMS OF DIFFERENTIAL EQUATIONS SATISFIED BY APPELL'S F2,F3 AND F4
- (2015) Katsuhisa MIMACHI et al. Kyushu Journal of Mathematics
- Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
- (2015) Lorenzo Tancredi NUCLEAR PHYSICS B
- HYPERgeometric functions DIfferential REduction ( HYPERDIRE ): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions:FDandFSHorn-type hypergeometric functions of three variables
- (2014) Vladimir V. Bytev et al. COMPUTER PHYSICS COMMUNICATIONS
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- (2014) Luise Adams et al. JOURNAL OF MATHEMATICAL PHYSICS
- The singular locus of Lauricella's $F_C$
- (2014) Ryohei HATTORI et al. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
- GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
- (2014) Hiromasa NAKAYAMA Kyushu Journal of Mathematics
- Schouten identities for Feynman graph amplitudes; The Master Integrals for the two-loop massive sunrise graph
- (2014) Ettore Remiddi et al. NUCLEAR PHYSICS B
- HYPERDIRE, HYPERgeometric functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions
- (2013) Vladimir V. Bytev et al. COMPUTER PHYSICS COMMUNICATIONS
- FIRE4, LiteRed and accompanying tools to solve integration by parts relations
- (2013) A.V. Smirnov et al. COMPUTER PHYSICS COMMUNICATIONS
- TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION FC
- (2013) YOSHIAKI GOTO INTERNATIONAL JOURNAL OF MATHEMATICS
- Feynman motives of banana graphs
- (2013) Paolo Aluffi et al. Communications in Number Theory and Physics
- A second-order differential equation for the two-loop sunrise graph with arbitrary masses
- (2013) Stefan Müller-Stach et al. Communications in Number Theory and Physics
- Resonance equals reducibility forA-hypergeometric systems
- (2012) Mathias Schulze et al. Algebra & Number Theory
- On convergent series representations of Mellin-Barnes integrals
- (2012) Samuel Friot et al. JOURNAL OF MATHEMATICAL PHYSICS
- Mellin–Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions
- (2012) Mikhail Yu. Kalmykov et al. PHYSICS LETTERS B
- Irreducibility of A-hypergeometric systems
- (2011) F. Beukers INDAGATIONES MATHEMATICAE-NEW SERIES
- Irreducible quotients of A-hypergeometric systems
- (2010) Mutsumi Saito COMPOSITIO MATHEMATICA
- Binomial $D$ -modules
- (2010) Alicia Dickenstein et al. DUKE MATHEMATICAL JOURNAL
- FEYNMAN GRAPH POLYNOMIALS
- (2010) CHRISTIAN BOGNER et al. INTERNATIONAL JOURNAL OF MODERN PHYSICS A
- Algebraic A-hypergeometric functions
- (2010) Frits Beukers INVENTIONES MATHEMATICAE
- Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case
- (2010) Vladimir V. Bytev et al. NUCLEAR PHYSICS B
- Hypergeometric systems of equations with maximally reducible monodromy
- (2008) T. M. Sadykov DOKLADY MATHEMATICS
- Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters
- (2008) Mikhail Yu. Kalmykov et al. NUCLEAR PHYSICS B
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreDiscover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversation