Not T-parity but C-parity

Abstract

We revisit the Littlest Higgs model with $T$-parity, and discover a $Z_2$ symmetry on collective symmetry. It is dubbed collective parity ($\text{EuScript}C$-parity). We demonstrate that $T$-parity is consistent with $\text{EuScript}C$-parity. We further investigate the origin of the collective symmetry in the context of composite Higgs and find a new path to the UV complete theory of the model. In addition, we demonstrate that $T$-parity violating processes naturally take place.

Comments: 14 pages, 2 figures