1–5 Sept 2014
Faculty of Civil Engineering
Europe/Prague timezone

Differential reduction of generalized hypergeometric functions in application to Feynman diagrams.

2 Sept 2014, 16:10
25m
C221 (Faculty of Civil Engineering)

C221

Faculty of Civil Engineering

Faculty of Civil Engineering, Czech Technical University in Prague Thakurova 7/2077 Prague 166 29 Czech Republic
Oral Computations in Theoretical Physics: Techniques and Methods Computations in Theoretical Physics: Techniques and Methods

Speaker

Mr Vladimir Bytev (JINR)

Description

The differential reduction algorithm which allow one to express generalized hypergeometric functions with arbitrary values of parameters in terms of functions with fixed values of parameters differing from the original ones by integers is discussed in a context of evaluation of Feynman diagrams. It is shown that the criterion of reducibility of multiloop Feynman integrals can be reformulated in terms of the criterion of reducibility of hypergeometric functions. The HYPERDIRE - Mathematica based program, for differential reduction of hypergeometric functions of one and two variables with non-exceptional values of parameters to a set of basic functions is presented.

Primary author

Mr Vladimir Bytev (JINR)

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