Twin Higgs model with T parity

Abstract

In twin Higgs models, a discrete ${\mathbb{Z}}_{2}$ 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 $SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{R}\ifmmode\times\else\texttimes\fi{}U(1{)}_{1}\ifmmode\times\else\texttimes\fi{}U(1{)}_{2}$ gauge symmetry in the left-right 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.