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Signatures of discrete symmetries in the scalar sector

Signatures of discrete symmetries in the scalar sector

I discuss methods to identify the presence of discrete symmetries in the two-Higgs-doublet model by observing the masses and the cubic and quartic interactions of the scalars. The symmetries considered are a ${\mathit{Z}}_{2}$ symmetry under which ${\mathrm{\ensuremath{\varphi}}}_{2}$\ensuremath{\rightarrow}-${\mathrm{\ensuremath{\varphi}}}_{2}$, and a CP symmetry which enforces real coupling constants in the Higgs potential. …