Constraints on CP violation in the Higgs sector from the $\rho$ parameter

Abstract

We discuss the relation between the CP symmetry and the custodial $SU(2)$ symmetry in the Higgs sector. In particular, we show that CP violation in the Higgs-gauge sector is allowed only if the custodial $SU(2)$ symmetry is broken. We exploit these facts to constrain CP violation using the experimental bounds on $\rho -1$. CP nonconservation in the Higgs-fermion interactions can also be constrained in a similar way although a possible exception is pointed out.

19 pages, 2 figures (not included), SLAC-PUB-6196

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• Using Back-Scattered Laser Beams to Detect CP Violation in the Neutral Higgs Sector
• Constraints from Global Symmetries on Radiative Corrections to the Higgs Sector

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