Analytic results for scalar-mediated Higgs boson production in association with two jets

TL;DR

This paper provides compact analytic formulas for one-loop amplitudes of Higgs boson production with two jets mediated by a scalar, useful for indirect searches of top squarks in supersymmetry.

Contribution

It derives new analytic expressions for scalar-mediated Higgs plus two jets production, highlighting similarities with fermion loops and applying to SUSY scenarios.

Findings

Formulas facilitate precision cross-section measurements.

Results help in indirect top squark searches.

Discrimination between SM and SUSY is limited by statistical power.

Abstract

We present compact analytic formulae for all one-loop amplitudes representing the production of a Higgs boson in association with two jets, mediated by a colour triplet scalar particle. Many of the integral coefficients present for scalar mediators are identical to the case when a massive fermion circulates in the loop, reflecting a close relationship between the two theories. The calculation is used to study Higgs boson production in association with two jets in a simplified supersymmetry (SUSY) scenario in which the dominant additional contributions arise from loops of top squarks. The results presented here facilitate an indirect search for top squarks in this channel, by a precision measurement of the corresponding cross-section. However, we find that the potential for improved discrimination between the SM and SUSY cases suggested by the pattern of results in the 1- and 2-jet samples is unlikely to be realized due to the loss in statistical power compared to an inclusive analysis.