3 years ago

# CP4 miracle: shaping Yukawa sector with CP symmetry of order four.

Igor P. Ivanov, P.M. Ferreira, Roman Pasechnik, Enrique Jiménez, Hugo Serôdio

We explore the phenomenology of a unique three-Higgs-doublet model based on the single $CP$ symmetry of order 4 (CP4) without any accidental symmetries. The CP4 symmetry is imposed on the scalar potential and Yukawa interactions, strongly shaping both sectors of the model and leading to a very characteristic phenomenology. The scalar sector is analyzed in detail, and in the Yukawa sector we list all possible CP4-symmetric structures which do not run into immediate conflict with experiment. We show that the parameter space of the model, although very constrained by CP4, is large enough to comply with the electroweak precision data and the LHC results for the 125 GeV Higgs boson phenomenology, as well as to perfectly reproduce all fermion masses, mixing, and $CP$ violation. Despite the presence of flavor changing neutral currents mediated by heavy Higgs scalars, we find through a parameter space scan many points which accurately reproduce the kaon $CP$-violating parameter $\epsilon_K$ as well as oscillation parameters in $K$ and $B_{(s)}$ mesons. Thus, CP4 offers a novel minimalistic framework for building models with very few assumptions, sufficient predictive power, and rich phenomenology yet to be explored.

Publisher URL: http://arxiv.org/abs/1711.02042

DOI: arXiv:1711.02042v1

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