# LoopFest XX

May 12 – 14, 2022
University of Pittsburgh
US/Eastern timezone

## Higgs-boson production in top-quark fragmentation

May 12, 2022, 11:25 AM
15m
Benedum Hall 157 (University of Pittsburgh)

### Speaker

Colomba Brancaccio

### Description

We compute the fragmentation functions for the production of a Higgs boson at order $\mathcal{O}(y_t^2 \alpha_s)$. Real and virtual corrections have been computed by using modern loop computation techniques. In particular, we combine the unitary cut method with the differential equation approach. We find the criteria to bring the master integrals in canonical form, so that their computation is analytically performed, order by order in the dimensional regulator $\epsilon$. Our results can be used to compute differential cross sections with arbitrary top-quark and Higgs-boson masses from massless calculations. They can also be used to resum logarithms of the form $\ln(p_T/m)$ at large transverse momentum $p_T$ to next-to-leading-logarithmic accuracy by solving the DGLAP equations.

### Primary authors

Colomba Brancaccio Michael Kraemer (Particle Physics) Michal Wiktor Czakon (Rheinisch Westfaelische Tech. Hoch. (DE)) Terry Generet (RWTH Aachen University)