A new method of expansion of Feynman integrals
نویسندگان
چکیده
منابع مشابه
Asymptotic expansion of Feynman integrals near threshold
We present general prescriptions for the asymptotic expansion of massive multiloop Feynman integrals near threshold. As in the case of previously known prescriptions for various limits of momenta and masses, the terms of the threshold expansion are associated with subgraphs of a given graph and are explicitly written through Taylor expansions of the corresponding integrands in certain sets of p...
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New relationships between Feynman integrals
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Two-point Feynman parameter integrals, with at most one mass and containing local operator insertions in 4+ ε-dimensional Minkowski space, can be transformed to multi-integrals or multisums over hyperexponential and/or hypergeometric functions depending on a discrete parameter n. Given such a specific representation, we utilize an enhanced version of the multivariate Almkvist–Zeilberger algorit...
متن کاملGeometric approach to asymptotic expansion of Feynman integrals
Evaluation of Feynman integrals depending on multiple parameters is a notoriously difficult task. When direct computation fails, one resorts to studying asymptotics in various limits. In practice, a few first terms in the expansion may already suffice to reach the desired precision. However, expansion of a multi-loop integral may become nontrivial due to an interplay of parameters with the inte...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)01254-x