By Vladimir A. Smirnov
The objective of this booklet is to explain the main strong tools for comparing multiloop Feynman integrals which are at present utilized in practice. This ebook supersedes the author’s past Springer ebook “Evaluating Feynman Integrals” and its textbook model “Feynman essential Calculus.” because the ebook of those books, strong new tools have arisen and standard tools were stronger on in crucial methods. an additional qualitative swap is the truth that lots of the equipment and the corresponding algorithms have now been carried out in laptop codes that are frequently public.
In comparability to the 2 prior books, 3 new chapters were added: One is on region decomposition, whereas the second one describes a brand new approach through Lee. The 3rd new bankruptcy matters the asymptotic expansions of Feynman integrals in momenta and much, that have been defined intimately in one other Springer e-book, “Applied Asymptotic Expansions in Momenta and Masses,” via the writer. This bankruptcy describes, at the foundation of papers that seemed after the ebook of acknowledged ebook, tips on how to algorithmically detect the areas appropriate to a given restrict in the technique of enlargement via areas. moreover, the chapters at the approach to Mellin-Barnes illustration and at the approach to integration by way of elements were considerably rewritten, with an emphasis at the corresponding algorithms and computing device codes.
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