26–28 Jun 2023
SLAC National Accelerator Laboratory
US/Pacific timezone

Hyperfunction method for two loop calculations for PRadII experiment

27 Jun 2023, 11:45
25m
Kavli Auditorium (SLAC National Accelerator Laboratory)

Kavli Auditorium

SLAC National Accelerator Laboratory

2575 Sand Hill Rd, Menlo Park, CA 94025, United States

Speaker

Stan Srednyak

Description

In this talk we will discuss hyperfunctions associated with the two loop integrals relevant for the calculation of QED radiative corrections for the PRadII experiment. We will start with a description of the relevant cohomology groups and methods for their computation. We will discuss the vanishing cycles in PRadII kinematics and the corresponding Landau varieties. Then we will proceed with generalization of the method of master integrals for diagrams with cut lines ( on shell particles). We will describe the generalization of Griffiths' method to this case. We will discuss dimensional regularization of the relevant integrals and how IR poles are absorbed in Gamma factors. We will discuss the flat bundles associated with the double Bethe-Heitler process and ways to numerically compute the IR finite part of these functions.

Author

Stan Srednyak

Presentation materials