Abstract
We construct a three-Higgs doublet model with a flavour non-universal U(1) × ℤ2 symmetry. That symmetry induces suppressed flavour-changing interactions mediated by neutral scalars. New scalars with masses below the TeV scale can still successfully negotiate the constraints arising from flavour data. Such a model can thus encourage direct searches for extra Higgs bosons in the future collider experiments, and includes a non-trivial flavour structure.
Highlights
Add only one extra doublet to the SM Higgs sector, have received its fair share of attention through the years
In the considered version of the model, tree-level flavour changing neutral currents (FCNCs) interactions occur in the down-quark sector while those in the up-quark sector are forbidden by the flavor symmetry
We show how some of the quark flavour violation (QFV) observables might further constrain the model’s parameter space that survives the Higgs physics, unitarity and electroweak precision constraints
Summary
The BGL model is a version of the 2HDM where the scalar interactions with fermions violate flavour — meaning, unlike the interactions of the photon and Z boson, the neutral scalars in the BGL model “jump families” like the W boson does. The above shows that for any choice of quark generation in eq (2.8) the Nu matrix is diagonal in the up-type quark mass basis, and — since this matrix contains the quark Yukawa couplings of the neutral scalars — no FCNC occurs in the up sector. An analogous symmetry to that of eq (2.8) associated with a given family of up-type quarks would yield other three models, where CKM-suppressed FCNC occur in the up-quark sector and where the down-sector is free from such flavour violation interactions This is how the hallmark of the BGL models is achieved: a flavour-breaking symmetry, which yields off-diagonal FCNC couplings naturally suppressed by the entries of the CKM matrix elements. In what follows we build a similar model but for the case of three Higgs doublets
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