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- W2023109803 abstract "When calculating higher terms of the ɛ-expansion of massive Feynman diagrams, one needs to evaluate particular cases of multiple inverse binomial sums. These sums are related to the derivatives of certain hypergeometric functions with respect to their parameters. Exploring this connection and using it together with an approach based on generating functions, we analytically calculate a number of such infinite sums, for an arbitrary value of the argument which corresponds to an arbitrary value of the off-shell external momentum. In such a way, we find a number of new results for physically important Feynman diagrams. Considered examples include two-loop two- and three-point diagrams, as well as three-loop vacuum diagrams with two different masses. The results are presented in terms of generalized polylogarithmic functions. As a physical example, higher-order terms of the ɛ-expansion of the polarization function of the neutral gauge bosons are constructed." @default.
- W2023109803 created "2016-06-24" @default.
- W2023109803 creator A5000558363 @default.
- W2023109803 creator A5081602538 @default.
- W2023109803 date "2004-11-01" @default.
- W2023109803 modified "2023-10-16" @default.
- W2023109803 title "Massive Feynman diagrams and inverse binomial sums" @default.
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- W2023109803 doi "https://doi.org/10.1016/j.nuclphysb.2004.08.020" @default.
- W2023109803 hasPublicationYear "2004" @default.