Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case
نویسندگان
چکیده
The differential-reduction algorithm, which allows one to express generalized hypergeometric functions with parameters of arbitrary values in terms of such functions with parameters whose values differ from the original ones by integers, is discussed in the context of evaluating Feynman diagrams. Where this is possible, we compare our results with those obtained using standard techniques. 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 relation between the numbers of master integrals obtained by differential reduction and integration by parts is discussed. PACS numbers: 02.30.Gp, 02.30.Lt, 11.15.Bt, 12.38.Bx
منابع مشابه
Differential reduction of generalized hypergeometric functions in application to Feynman diagrams: One-variable case
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. Where it is possible we make a comparison between our results and ones based on a standard technique...
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