Speaker
Mathieu Giroux
(McGill University)
Description
It was recently showed that the dual to the vector space of Feynman
integrals have a very physical interpretation through unitary cuts. In
this talk, we want to use this new technology to answer questions at
two-loop. In particular, we initiate the loop-by-loop program and
investigate the recursive loop-structure of the ‘watermelon’
diagram, which is relevant for self-energy calculations in Quantum
Field Theory. We will discuss it's first iteration, which boils down to
extracting the two-loop watermelon (sunrise) differential equation from
one-loop watermelon (bubble) data. We will also elaborate on connections
between the so-called ‘canonical’ differential equations, ε-factorized
differential equations and modular invariance.
Author
Mathieu Giroux
(McGill University)
