Residual flavor symmetries enforce simultaneously diagonal Yukawa couplings across all Higgs doublets when they fully control fermion mixing, yielding a generalized Yukawa Alignment that is free of tree-level FCNC.
Abelian symmetries in the two-Higgs-doublet model with fermions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We classify all possible implementations of an abelian symmetry in the two-Higgs-doublet model with fermions. We identify those symmetries which are consistent with non-vanishing quark masses and a CKM matrix which is not block-diagonal. Our analysis takes us from a plethora of possibilities down to 246 relevant cases, requiring only 34 distinct matrix forms. We show that applying Z_n with n \geq 4 to the scalar sector leads to a continuous U(1) symmetry in the whole Lagrangian. Finally, we address the possibilities of spontaneous CP violation and of natural suppression of the flavour changing neutral currents. We explain why our work is relevant even for non-abelian symmetries.
citation-role summary
background 1
citation-polarity summary
fields
hep-ph 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
FCNC-free multi-Higgs-doublet models from broken family symmetries
Residual flavor symmetries enforce simultaneously diagonal Yukawa couplings across all Higgs doublets when they fully control fermion mixing, yielding a generalized Yukawa Alignment that is free of tree-level FCNC.