Scale dependence of non-factorizable virtual corrections to Higgs boson production in weak boson fusion

TL;DR

This paper computes three-loop non-factorizable virtual corrections in Higgs production via weak boson fusion, demonstrating that including these corrections stabilizes the theoretical predictions against renormalization-scale dependence.

Contribution

The study introduces a three-loop calculation of non-factorizable corrections that accounts for the running of the strong coupling, improving the stability of Higgs production predictions.

Findings

Three-loop non-factorizable corrections reduce scale dependence.

Including running of the strong coupling stabilizes predictions.

Enhanced theoretical precision for Higgs production in weak boson fusion.

Abstract

The renormalization-scale dependence of the non-factorizable virtual corrections to Higgs boson production in weak boson fusion at next-to-next-to-leading order in perturbative QCD is unusually strong, due to the peculiar nature of these corrections. To address this problem, we compute the three-loop non-factorizable contribution to this process which accounts for the running of the strong coupling constant, and show that it stabilizes the theoretical prediction.