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

TL;DR

This paper calculates a one-loop interference effect between gluon fusion and weak boson fusion in Higgs plus two jet production at the LHC, showing it is numerically negligible for experiments.

Contribution

It provides the first analytical evaluation of the one-loop amplitudes for the interference effect in Higgs plus two jet production, including master integrals with massive propagators.

Findings

Interference effect is numerically negligible at the LHC.

Analytical expressions for one-loop amplitudes are derived.

Master integrals with massive propagators are reported.

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.