Radiative neutrino masses from order-4 CP symmetry

Abstract

Generalized CP symmetry of order 4 (CP4) is surprisingly powerful in shaping scalar and quark sectors of multi-Higgs models. Here, we extend this framework to the neutrino sector. We build two simple Majorana neutrino mass models with unbroken CP4, which are analogous to Ma's scotogenic model. Both models use three Higgs doublets and two or three right-handed (RH) neutrinos. The minimal CP4 symmetric scotogenic model uses only two RH neutrinos, leads to three non-zero light neutrino masses, and contains a built-in mechanism to further suppress them via phase alignment. With three RH neutrinos, one generates a type I seesaw mass matrix of rank 1, which is then corrected by the same scotogenic mechanism, naturally leading to two neutrino mass scales with mild hierarchy. These minimal CP4-based constructions emerge as a primer for introducing additional symmetry structures and exploring their phenomenological consequences.

13 pages, 2 figures; v2: extra comments and references, matches the published version

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Cited by in corpus (8)

• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Symmetries and Mass Degeneracies in the Scalar Sector
• Neutrino Predictions from Generalized CP Symmetries of Charged Leptons
• Solving the strong CP problem with non-conventional CP
• Discrete dark matter mechanism as the source of neutrino mass scales
• Beyond basis invariants
• Limiting FCNC induced by a CP symmetry of order 4
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications