# Differential equations and iterated integrals for massive multi-loop Feynman integrals

#### Differential equations and iterated integrals for massive multi-loop Feynman integrals

- Event time: 11:00am
- Event date: 6th December 2019
- Speaker: Dr Stefano Di Vita (INFN Milano)
- Location: Higgs Centre Seminar Room, Room 4305, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

In this talk I will give an overview of the differential equations method for the calculation of multi-loop Feynman integrals, which was recently applied to several cases where massive legs and propagators are present.

I will discuss how the systems of differential equations arise, how they are brought in canonical form with the help of the Magnus exponential, what functions can be used to give a closed-form representation of the solution, and how they are analytically continued to the kinematic regions of interest.

Some examples will be given, such as the master integrals for the NNLO QED corrections to mu-e scattering, which are crucial for the physics program of MUonE, an experiment proposed with the goal of determining the leading hadronic contribution to the muon g-2 in a novel way.

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..