Abstract
Spherical contours introduced in [1] translate the concept of “discontinuity across a branch cut” to Feynman parameter space. In this paper, we further explore spherical contours and connect them to the computation of leading IR divergences of 1 loop graphs directly in Feynman parameter space. These spherical contours can be used to develop a Feynman parameter space analog of “Leading Singularities” of loop integrands which allows us to develop a method of determining Feynman parameter integrands without the need to sum over Feynman diagrams in momentum space. Finally, we explore some interesting features of Feynman parameter integrands in \( \mathcal{N} \) = 4 SYM.
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Srikant, A.Y. Spherical contours, IR divergences and the geometry of Feynman parameter integrands at one loop. J. High Energ. Phys. 2020, 236 (2020). https://doi.org/10.1007/JHEP07(2020)236
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DOI: https://doi.org/10.1007/JHEP07(2020)236