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Unveiling regions in multi-scale Feynman integrals using singularities and power geometry
B. Ananthanarayan, Abhishek Pal, , Ratan Sarkar
Published in Springer New York LLC
Volume: 79
Issue: 1
We introduce a novel approach for solving the problem of identifying regions in the framework of Method of Regions by considering singularities and the associated Landau equations given a multi-scale Feynman diagram. These equations are then analyzed by an expansion in a small threshold parameter via the Power Geometry technique. This effectively leads to the analysis of Newton Polytopes which are evaluated using a Mathematica based convex hull program. Furthermore, the elements of the Gröbner Basis of the Landau Equations give a family of transformations, which when applied, reveal regions like potential and Glauber. Several one-loop and two-loop examples are studied and benchmarked using our algorithm which we call ASPIRE. © 2019, The Author(s).
About the journal
JournalData powered by TypesetEuropean Physical Journal C
PublisherData powered by TypesetSpringer New York LLC
Open AccessNo