Multi-loop multi-scale Feynman integrals for collider phenomenology
Simone Zoia (UZH)
Tuesday, 10 December 2024 at 11:15
Abstract
Feynman integrals are essential for achieving precise theoretical predictions in collider physics. Highly efficient computational techniques are however required to make these predictions possible, particularly when the integrals depend on many kinematic variables. I discuss state-of-the-art methods for computing multi-scale Feynman integrals in a way that is suitable for phenomenology, and present new ideas on how to extend these techniques to cases involving elliptic functions. I focus in particular on the two-loop integrals required to describe the production of a top-quark pair in association with a jet at the LHC. This talk will deal with differential equations, special functions, finite fields, elliptic curves… all while keeping in mind the ultimate physics goal.