Calculating three loop ladder and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si157.gif" display="inline" overflow="scroll"><mml:mi>V</mml:mi></mml:math>-topologies for massive operator matrix elements by computer algebra

Type: Article

Publication Date: 2016-01-18

Citations: 128

DOI: https://doi.org/10.1016/j.cpc.2016.01.002

Locations

  • Computer Physics Communications - View
  • arXiv (Cornell University) - View - PDF
  • Desy Publications Database (Deutsches Elektronen-Synchrotron DESY) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Modern summation technologies and the calculation of 3-loop diagrams 2013 Carsten Schneider
Jakob Ablinger
Johannes Bluemlein
M. Round
+ Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction 2014 Carsten Schneider
+ A toolbox to solve coupled systems of differential and difference equations 2016 Jakob Ablinger
Johannes Bluemlein
Abilio De Freitas
Carsten Schneider
+ Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams 2014 Jakob Ablinger
J. Blümlein
Clemens G. Raab
Carsten Schneider
+ Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams 2014 Jakob Ablinger
J. Blümlein
Clemens G. Raab
Carsten Schneider
+ A toolbox to solve coupled systems of differential and difference equations 2016 Carsten Schneider
Jakob Ablinger
Johannes Bluemlein
Abilio De Freitas
+ A toolbox to solve coupled systems of differential and difference equations 2016 Jakob Ablinger
Johannes Bluemlein
Abilio De Freitas
Carsten Schneider
+ PDF Chat Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals 2012 J. Ablinger
S. Blümlein
M. Round
C. Schneider
+ Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals 2012 Jakob Ablinger
J. Blümlein
M. Round
Carsten Schneider
+ Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals 2012 Jakob Ablinger
S. Blümlein
M. Round
Carsten Schneider
+ Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams 2010 Jakob Ablinger
J. Blümlein
Sebastian Klein
Carsten Schneider
+ Extensions of the AZ-algorithm and the Package MultiIntegrate 2021 Jakob Ablinger
+ Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations 2014 Johannes Bluemlein
Abilio De Freitas
Carsten Schneider
+ Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations 2014 Johannes Bluemlein
Abilio De Freitas
Carsten Schneider
+ PDF Chat Extensions of the AZ-Algorithm and the Package MultiIntegrate 2021 Jakob Ablinger
+ PDF Chat Nested sums, expansion of transcendental functions, and multiscale multiloop integrals 2002 S. Moch
Peter Uwer
Stefan Weinzierl
+ Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations 2014 Carsten Schneider
Johannes Bluemlein
Abilio De Freitas
+ Computer Algebra Algorithms for Special Functions in Particle Physics 2013 Jakob Ablinger
+ Computer Algebra Algorithms for Special Functions in Particle Physics 2013 Jakob Ablinger
+ A Symbolic Summation Approach to Find Optimal Nested Sum Representations 2009 Carsten Schneider

Works Cited by This (95)

Action Title Year Authors
+ Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions 2013 Carsten Schneider
Johannes Blmlein
+ The transition matrix element <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> of the variable flavor number scheme at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>O</mml:mi><mml:mo … 2014 Jakob Ablinger
J. Blümlein
A. Freitas
A. Hasselhuhn
Andreas von Manteuffel
M. Round
Carsten Schneider
F. Wißbrock
+ A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics 2010 Jakob Ablinger
+ Vorlesungen über Differenzenrechnung 1924 Niels Erik Nörlund
+ <i>Generalized Hypergeometric Functions</i> 1967 L. J. Slater
Werner C. Rheinboldt
+ PDF Chat Simplifying Multiple Sums in Difference Fields 2013 Carsten Schneider
+ Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms 2014 Jakob Ablinger
J. Blümlein
Clemens G. Raab
Carsten Schneider
F. Wißbrock
+ Multibasic and Mixed Hypergeometric Gosper-Type Algorithms 1999 Andrej Bauer
Marko Petkovšek
+ PDF Chat On the resolution of singularities of multiple Mellin–Barnes integrals 2009 Alexander V. Smirnov
Vladimir A. Smirnov
+ A new Sigma approach to multi-summation 2005 Carsten Schneider