Limiting FCNC induced by a CP symmetry of order 4

Abstract

CP4 3HDM is a three-Higgs-doublet model based on the $CP$ symmetry of order 4 (CP4). Imposing CP4 leads to remarkable connections between the scalar and Yukawa sectors and unavoidably generates tree-level flavor-changing neutral couplings (FCNC). It remains unclear whether FCNC can be sufficiently suppressed in the CP4 3HDM. In this paper, we systematically explore this issue. We first develop an efficient scanning procedure which takes the quark masses and mixing as input and expresses the FCNC matrices in terms of physical quark observables and quark rotation parameters. This procedure allows us to explore the FCNC effects for all the Yukawa sectors possible within the CP4 3HDM. We find that, out of the eight possible CP4 Yukawa sectors, only two scenarios are compatible with the $K$, $B$, $B_s$ and, in particular, $D$-meson oscillation constraints. The results of this work serve as clear guidelines for future phenomenological scans of the model.

1+35 pages, 11 figures; v2: figures updated, clarifications added, matches the published version

References in corpus (9)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Discrete symmetries in the three-Higgs-doublet model
• A new type of CP symmetry, family replication and fermion mass hierarchies
• Flavour alignment in multi-Higgs-doublet models
• Abelian symmetries in the two-Higgs-doublet model with fermions
• When the C in CP does not matter: anatomy of order-4 CP eigenstates and their Yukawa interactions
• Higgs boson couplings in multi-doublet models with natural flavour conservation
• Flavor Changing Neutral Currents in the Higgs Sector

Cited by in corpus (2)

• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays