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Volume 375 - 14th International Symposium on Radiative Corrections (RADCOR2019) - Integral Techniques
Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
M.K. Mandal,* H.A. Frellesvig, F. Gasparotto, S. Laporta, P. Mastrolia, L. Mattiazzi, S. Mizera
*corresponding author
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Pre-published on: 2019 December 20
Published on: 2020 February 18
The reduction of a large number of scalar multi-loop integrals to the smaller set of Master Integrals is an integral part of the computation of any multi-loop amplitudes. The reduction is usually achieved by employing the traditional Integral-By-Parts (IBP) relations. However, in case of integrals with large number of scales, this quickly becomes a bottleneck. In this talk, I will show the application of the recent idea, connecting the direct decomposition of Feynman integrals with the Intersection theory. Specifically, we will consider few maximally cut Feynman integrals and show their direct decomposition to the Master Integrals.
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