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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Abstract
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 |
|---|---|
| Publication: | EUROPEAN PHYSICAL JOURNAL C |
| 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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