Not T-parity but C-parity
Abstract
We revisit the Littlest Higgs model with T-parity, and discover a Z2 symmetry on collective symmetry. It is dubbed collective parity (C-parity). We demonstrate that T-parity is consistent with 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.
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