Abstract
CP4 3HDM is a unique three-Higgs-doublet model equipped with a higher-order CP-symmetry in the scalar and Yukawa sector. Based on a single assumption (the minimal model with a CP-symmetry of order 4 and no accidental symmetry), it leads to a remarkable correlation between its scalar and Yukawa sectors, which echoes in its phenomenology. A recent scan of the parameter space of CP4 3HDM under the assumption of scalar alignment identified a few dozens of points which passed many flavor constraints. In the present work, however, we show that almost all of these points are now ruled out by the recent LHC searches of t→H+b with subsequent hadronic decays of H+. Apart from a few points with charged Higgses heavier than the top quark, only one point survives all the checks, the model with an exotic, non-2HDM-like generation pattern of H+ couplings with quarks. One can expect many more points with exotic H+ couplings to quarks if the scalar alignment assumption is relaxed.
Highlights
The Standard Model (SM), despite its lasting success, does not provide any clue on the origin of the fermion masses, their mixing patterns, and CP-violation
The model is based on a single symmetry, the CP-symmetry of order 4 (CP4), without any other accidental symmetry
We use the parameter space points, including the matrices Γij and ∆ ̃ i†j produced by the numerical scan of Ref. [30]
Summary
The Standard Model (SM), despite its lasting success, does not provide any clue on the origin of the fermion masses, their mixing patterns, and CP-violation. Very few symmetries are possible with two Higgs doublets [10,11,12,13,14,15] They can be used to shape the Yukawa sectors (see the recent developments [16,17,18] beyond the classical 2HDM Type-I and Type-II models), they are insufficiently constraining or they predict highly peculiar properties not seen in experiment [15,19]. The three-Higgs doublet model (3HDM) can accommodate many more symmetry groups [6,7,8], some of which were used back in early 1980s to deduce the fermion masses and mixing hierarchies from symmetries, see a historical overview in Ref. Each sector (scalar, up quark, and down quark) comes with its own free parameters, and one typically loses predictivity
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
