Expansion by regions: revealing potential and Glauber regions automatically

Abstract

When performing asymptotic expansions using the strategy of expansion by regions, it is a non-trivial task to find the relevant regions. The recently published Mathematica code asy.m automates this task, but it has not been able to detect potential regions in threshold expansions or Glauber regions. In this work we present an algorithm and its implementation in the update asy2.m which also reveals potential and Glauber regions automatically.

13 pages, 1 figure; Mathematica code asy2.m included in source files; v2: new section inserted explaining expansion by regions in parametric representations, documentation of syntax and output of asy2.m extended, version published in Eur.Phys.J.C

References in corpus (2)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Geometric approach to asymptotic expansion of Feynman integrals

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