Doubly charged Higgs boson at same-sign lepton colliders

TL;DR

This paper explores the detection of doubly charged Higgs bosons in the Georgi-Machacek model at same-sign lepton colliders, proposing a novel invariant mass method to determine the particle's mass despite neutrino-induced challenges.

Contribution

It introduces a new approach using invariant mass of same-sign leptons and $^2$ fitting to extract the Higgs mass at lepton colliders, addressing neutrino complications.

Findings

Invariant mass method effectively estimates the Higgs mass.

Vector boson fusion is the dominant production mode.

Comparison with pair production processes enhances detection strategies.

Abstract

We investigate the search for doubly charged Higgs bosons in the Georgi-Machacek (GM) model at same-sign lepton colliders. The dominant production mode is vector boson fusion, through which the particle is singly produced and decays into a pair of same-sign $W$ bosons if the triplet vacuum expectation value is sufficiently large, as allowed in the GM model. Considering the leptonic decays of the $W$ bosons, we discuss the discovery reach of the signal and a method to extract the mass of the doubly charged Higgs boson. It is impossible to construct the transverse mass of the decay product to obtain the mass because of the neutrinos radiated from the initial-state leptons. Alternatively, we propose to make use of the invariant mass of the same-sign leptons. We perform $\chi^2$ fitting using the analytical formula for the invariant mass distribution and demonstrate that this approach is effective in extracting the information on the mass. We also compare the process with pair production processes at the opposite-sign lepton colliders.