[HET seminar] Analytic and Numerical Methods for Feynman Integrals

by Martijn Hidding (Uppsala University)

Thursday 21 Sep 2023, 11:00 → 12:30 US/Eastern

https://bnl.zoomgov.com/j/1605999124?pwd=eCs3M0t2eGtiL0dyMGNoUDIzamxqQT09

Also in small seminar room.

Abstract: I will review analytic methods for computing Feynman integrals, such as the use of multiple polylogarithms (MPLs) and elliptic multiple polylogarithms (eMPLs). I will then discuss alternative numerical approaches to computing Feynman integrals, based on series expansions along one-dimensional contours in phase-space. I will discuss the methods underlying the Mathematica package DiffExp, and future improvements, and discuss a numerical approach which relies on an iterative application of Feynman's trick for combining two propagators. This method provides an efficient numerical determination of the boundary conditions. Lastly, I will give some possibilities for future research directions.