Pair Production of Neutral Higgs Particles in Gluon--Gluon Collisions
T. Plehn, M. Spira, P. M. Zerwas
TL;DR
The paper addresses determining the Higgs potential by measuring Higgs self-couplings via pair production in gluon-gluon collisions at high-energy hadron colliders. It computes the gg→HH cross section in the SM and extends to all neutral Higgs pairs in the MSSM, including both triangle and box loop diagrams with heavy-quark loops and radiative corrections. In the SM, the HH cross section is small (~10 fb for M_H ~100 GeV) and declines with heavier Higgs mass; in the MSSM, multiple final states exist with resonant enhancements (e.g., H→hh) and strong tanβ/MA dependence. The results quantify production rates across MSSM parameter space, highlighting regions where multi-Higgs final states can serve as valuable probes of Higgs self-couplings at the LHC.
Abstract
Pair production processes of neutral Higgs particles will allow us to study the trilinear Higgs couplings at future high--energy colliders. Several mechanisms give rise to multi--Higgs final states in hadron interactions. In the present paper we investigate Higgs pair production in gluon--gluon collisions. After recapitulating pair production in the Standard Model, the analysis of the cross sections is carried out in detail for the neutral Higgs particles in the minimal supersymmetric extension.