Loop induced interference effects in Higgs Boson plus two jet production at the LHC

TL;DR

The paper tackles the interference between gluon fusion and weak boson fusion contributions to Higgs boson plus two jet production at the LHC, which appears at one-loop order and has not been thoroughly explored. The authors derive analytic expressions for the corresponding one-loop amplitudes in dimensional regularization and compile the necessary master integrals with massive propagators. They discuss how multiple mechanisms suppress the interference, leading to a numerically negligible effect in experimental contexts. The work provides explicit results and numerical benchmarks, with references to public loop integral databases, enabling improved interpretation of Hjj measurements and Higgs coupling extractions.

Abstract

We calculate the order O(alpha^2 alpha_s^3) interference effect between the gluon fusion and weak boson fusion processes allowed at the one-loop level in Higgs boson plus 2 jet production at the LHC. The corresponding one-loop amplitudes, which have not been considered in the literature so far, are evaluated analytically using dimensional regularisation and the necessary master integrals with massive propagators are reported. It is discussed in detail how various mechanisms conspire to make this contribution numerically negligible for experimental studies at the LHC.

Figures (1)

• Figure 1: Momentum and mass assignments for a general $N$-point one-loop graph.