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 Standard Model and SUSY cases suggested by the pattern of results in the one- and two-jet samples is unlikely to be realized due to the loss in statistical power compared to an inclusive analysis.

Highlights

  • The main production channel of Higgs bosons at the Large Hadron Collider (LHC) is through gluon–gluon fusion, i.e., gg → h

  • In this paper we have provided an analytic calculation of all amplitudes representing the scattering of a Higgs boson and four partons, mediated by a loop of colour-triplet scalar particles

  • As an example we have analysed the specific case of the Minimal Supersymmetric Standard Model (MSSM), which contains two relevant scalar particles, ̃t1 andt2

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Summary

Introduction

The main production channel of Higgs bosons at the Large Hadron Collider (LHC) is through gluon–gluon fusion, i.e., gg → h. As more data are collected, additional information can be obtained from analysing differential information beyond inclusive cross sections One reason this is important is that additional jet activity allows new kinematic regions to be examined that may be more sensitive probes of Higgs properties. An example of this is that the nature of the Higgs coupling to particles circulating in the loop can only be probed if the relevant energy scale is at least of the order of the particle’s mass. The coupling of the Higgs boson to the scalar field is denoted by the parameter λ

Overview
Top squarks in the MSSM
Amplitudes for a scalar loop
Squared matrix elements for fermion and scalar loops
Recap of inclusive and one-jet results
Inclusive cross section
One-jet cross section
Results for the two-jet process
Discussion
Conclusions
Full Text
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