# Exploring the global symmetry structure of the Higgs potential via same-sign pair production of charged Higgs bosons

## TL;DR

This paper introduces a new collider process involving same-sign charged Higgs pair production via vector boson fusion, which probes the global symmetry structure of the Higgs potential in two Higgs doublet models.

## Contribution

It proposes a novel production process for charged Higgs pairs that directly relates to the Higgs potential's symmetry, with detailed feasibility analysis at colliders.

## Key findings

- Process is feasible at the LHC and future colliders.
- Charged Higgs decays into tau neutrino or top-bottom pairs.
- Potential to explore Higgs potential's symmetry structure.

## Abstract

We propose a novel process where singly charged Higgs bosons are produced in a same-sign pair via vector boson fusion at hadron colliders in two Higgs doublet models. The process directly relates to the global symmetry structure of the Higgs potential. The produced charged Higgs bosons predominantly decay into a tau lepton and the neutrino or into a pair of top and bottom quarks, depending on the type of Yukawa interactions. We evaluate the signal and the background for the both cases at the CERN Large Hadron Collider and future higher-energy hadron colliders. We find that the process can be feasible and useful to explore the nature of the Higgs potential.