# EPS-HEP2019

Jul 10 – 17, 2019
Ghent
Europe/Brussels timezone

## Towards two-loop computations in four dimensions with the Loop-Tree Duality

Jul 11, 2019, 5:30 PM
20m
ICC - Baeckeland 2 (Ghent)

### ICC - Baeckeland 2

#### Ghent

Parallel talk Quantum Field and String Theory

### Speaker

Félix Driencourt-Mangin (IFIC, UV-CSIC)

### Description

We propose a new algorithm based on the Loop-Tree Duality theorem to renormalise and calculate two-loop diagrams. The ultraviolet singularities are locally cancelled in a systematic way and at the integrand level, allowing for a full four-dimensional numerical implementation of the method. In particular, we apply the method to calculate the $H\to\gamma\gamma$ amplitude at two-loop level, and find an excellent agreement with already available literature results. We also present other advantages of the Loop-Tree Duality formalism, such as the possibility to write unintegrated amplitudes in a universal way, regardless of the particle running inside the loop.

### Co-authors

German Rodrigo (IFIC CSIC-UV) German Sborlini (Università di Milano, INFN Milano and IFIC-Valencia) William Javier Torres Bobadilla (IFIC CSIC-UV)