Speaker
Anastasia Volovich
(Brown University)
Description
This talk will cover two separate topics on the mathematical structure of Feynman integrals and scattering amplitudes. In the first part, I will discuss an attempt to determine what can be said, on general grounds, about the singularities of seven-point amplitudes in massless planar theories. One motivation is that this provides essential input into the bootstrap program that has allowed the computation of these amplitudes to high loop order in N=4 Yang-Mills. In the second part, I will explain how a recent mathematical result on volumes of orthoschemes can be used to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges.
