When the C in CP does not matter: anatomy of order-4 CP eigenstates and their Yukawa interactions

Abstract

We explore the origin and Yukawa interactions of the scalars with peculiar CP-properties which were recently found in a multi-Higgs model based on an order-4 CP symmetry. We relate the existence of such scalars to the enhanced freedom of defining CP, even beyond the well-known generalized CP symmetries, which arises in models with several zero-charge scalar fields. We also show that despite possessing exotic CP quantum numbers, these scalars do not have to be inert: they can have CP-conserving Yukawa interactions provided the CP acts on fermions by also mixing generations. This paper focuses on formal aspects---exposed in a pedagogical manner---and includes a brief discussion of possible phenomenological consequences.

18 pages; v2: discussion expanded, references added; v3: more discussions and explanations provided, matches the published version

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Cited by in corpus (8)

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• Solving the strong CP problem with non-conventional CP
• Beyond basis invariants
• Telling compositeness at a distance with outer automorphisms and CP
• Limiting FCNC induced by a CP symmetry of order 4
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• A three Higgs doublet model with symmetry-suppressed flavour changing neutral currents
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays