Twin Higgs With T parity

TL;DR

This paper introduces a new T parity symmetry in twin Higgs models, leading to T-odd particles and a potential dark matter candidate, with a specific gauge symmetry realization and distinctive phenomenology.

Contribution

It proposes a novel T parity symmetry in twin Higgs models and explores its implications, including a new dark matter candidate and unique phenomenological features.

Findings

T parity introduces T-odd particles in twin Higgs models.

The T-odd U(1) gauge boson can serve as a dark matter candidate.

Distinct phenomenology of T-odd particles is identified.

Abstract

In twin Higgs models, a discrete Z2 symmetry between the standard model Higgs and the twin Higgs is introduced to address the hierarchy problem. In this work, we propose another discrete symmetry in twin Higgs: the T parity, which maps the twin Higgs quadruplet into its mirror copy. The T parity brings us a whole group of T-odd particles, and leads to a promising dark matter candidate. We present one realization of the T parity twin Higgs scenario by implementing the $SU(2)_L \times SU(2)_R \times U(1)_1 \times U(1)_2$ gauge symmetry in twin Higgs model. In this specific setup, the T-odd U(1) gauge boson could be the dark matter candidate, and the T-odd particles have very distinct and interesting phenomenology.