Massive Feynman diagrams and inverse binomial sums

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dc.creatorDavydychev, A. I.
dc.creatorKalmykov, M. Yu.
dc.date2003-03-18
dc.date2004-10-12
dc.date.accessioned2026-07-07T10:49:35Z
dc.date.available2026-07-07T10:49:35Z
dc.descriptionWhen calculating higher terms of the epsilon-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 epsilon-expansion of the polarization function of the neutral gauge bosons are constructed.
dc.description54 pages, LaTeX, 2 eps figures; v4: some typos corrected; notations in Eqs.(C.7),(D.9), (E.3) improved
dc.identifierhttps://arxiv.org/abs/hep-th/0303162
dc.identifierhttp://arxiv.org/abs/hep-th/0303162
dc.identifierNucl.Phys.B699:3-64,2004
dc.identifierdoi:10.1016/j.nuclphysb.2004.08.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184269
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subjectGeneral Mathematics
dc.titleMassive Feynman diagrams and inverse binomial sums
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