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Unveiling regions in multi-scale Feynman integrals using singularities and power geometry

Ananthanarayan, B and Pal, Abhishek and Ramanan, S and Sarkar, Ratan (2019) Unveiling regions in multi-scale Feynman integrals using singularities and power geometry. In: EUROPEAN PHYSICAL JOURNAL C, 79 (1).

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Official URL: https://doi.org/10.1140/epjc/s10052-019-6533-x


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 Grobner 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.

Item Type: Journal Article
Publisher: SPRINGER
Additional Information: Copyright of this article belongs to SPRINGER
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 14 Feb 2019 05:53
Last Modified: 14 Feb 2019 05:53
URI: http://eprints.iisc.ac.in/id/eprint/61702

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