Numerical Multi-loop Computations: HJ and HH production at the LHC – Stephen Jones (CERN)

January 24, 2019 @ 4:00 pm – 5:00 pm
Ryle Seminar Room no. 930
Rutherford Building
Cavendish Laboratory
Mathieu Pellen

The detailed exploration of the Higgs sector is one of the key tasks of the physics program at the LHC. The production of a Higgs boson with large transverse momentum in association with a jet, as well as the production of a pair of Higgs bosons via gluon fusion, are processes which can provide a sensitive probe of the electroweak symmetry breaking mechanism. However, theoretical predictions for these processes receive very large perturbative corrections, which can enhance the predicted cross-section by approximately a factor of two. In this talk, I will present the calculation of the next-to-leading order QCD corrections to these processes including the full top-quark mass dependence. These corrections involve two-loop integrals which are currently not known analytically. A procedure to numerically calculate these integrals, based on sector decomposition and quasi-Monte Carlo integration, will be described. Furthermore, a publicly available program, pySecDec, which automates the numerical computation of such dimensionally regulated parameter integrals and its recent extension to support integration on Graphics Processing Units (GPUs) will be discussed.

The slides of the presentation can be found “here”: