By Vladimir A. Smirnov
The aim of this publication is to explain the main robust tools for comparing multiloop Feynman integrals which are at the moment utilized in practice. This booklet supersedes the author’s past Springer booklet “Evaluating Feynman Integrals” and its textbook model “Feynman vital Calculus.” because the ebook of those books, robust new tools have arisen and traditional tools were greater on in crucial methods. yet another qualitative swap is the truth that many of the tools and the corresponding algorithms have now been carried out in machine codes that are frequently public.
In comparability to the 2 earlier books, 3 new chapters were added: One is on region decomposition, whereas the second one describes a brand new procedure via Lee. The 3rd new bankruptcy matters the asymptotic expansions of Feynman integrals in momenta and lots more and plenty, that have been defined intimately in one other Springer e-book, “Applied Asymptotic Expansions in Momenta and Masses,” by means of the writer. This bankruptcy describes, at the foundation of papers that seemed after the e-book of stated ebook, the best way to algorithmically detect the areas proper to a given restrict in the technique of growth by means of areas. furthermore, 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 desktop codes.
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