$H_5^{\pm\pm}h^0$ production via vector-boson fusion in Georgi-Machacek model at hadron colliders

TL;DR

This paper investigates the production of doubly charged Higgs bosons in the Georgi-Machacek model via vector-boson fusion at future colliders, providing detailed cross sections, distributions, and signal-background analysis.

Contribution

It offers a comprehensive analysis of $H_5^{ ext{±±}} h^0$ production in the GM model at high-energy colliders, including NLO QCD corrections and a detailed signal-background study.

Findings

Signal can be distinguished from background at future colliders.

Cross sections and distributions are provided for 14 TeV and 70 TeV colliders.

Proper cuts can enable direct detection of the doubly charged Higgs boson.

Abstract

The Georgi-Machacek (GM) model is a distinctive TeV-scale extension of the Standard Model (SM) due to the introduction of two (one real and one complex) scalar triplets to the Higgs sector. It predicts the existence of doubly charged Higgs bosons $H_5^{\pm\pm}$ and the vacuum expectation value of Higgs triplets $v_\Delta$ can reach a few tens of GeV. In this paper, we perform a parameter scan of the GM model within the H5plane benchmark scenario and investigate in detail the single production of a doubly charged Higgs boson in association with a SM-like Higgs boson via vector-boson fusion at the $14~ {\rm TeV}$ LHC and $70~ {\rm TeV}$ Super Proton-Proton Collider. Both integrated cross section and differential distributions with respect to some kinematic variables for $pp \rightarrow W^{\pm}W^{\pm} \rightarrow H_5^{\pm\pm} h^0 + 2\, {\rm jets}$ are provided up to the QCD next-to-leading order. In the signal-background analysis we employ the {\sc madspin} method to take into account the spin correlation and finite width effects of the intermediate Higgs and $W$ bosons and present some kinematic distributions of final leptons. The numerical results show that the SM background can be suppressed remarkably and the $H_5^{\pm\pm} h^0$ vector-boson fusion signal can be directly detected at future high-luminosity, high-energy hadron colliders by imposing a proper cut on the transverse mass $M_{T, \ell_1 \ell_2}$.