$S_3$ symmetry and the quark mixing matrix

Abstract

We impose an $S_3$ symmetry on the quark fields under which two of three quarks transform like a doublet and the remaining one as singlet, and use a scalar sector with the same structure of $SU(2)$ doublets. After gauge symmetry breaking, a ${\mathbb{Z}}_2$ subgroup of the $S_3$ remains unbroken. We show that this unbroken subgroup can explain the approximate block structure of the CKM matrix. By allowing soft breaking of the $S_3$ symmetry in the scalar sector, we show that one can generate the small elements, of quadratic or higher order in the Wolfenstein parametrization of the CKM matrix. We also predict the existence of exotic new scalars, with unconventional decay properties, which can be used to test our model experimentally.

7 pages, no figure

References in corpus (8)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Analysis of an extended scalar sector with $S_3$ symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Nondecoupling of charged scalars in Higgs decay to two photons and symmetries of the scalar potential
• Novel signatures of the Higgs sector from S3 flavor symmetry
• CP breaking in $S(3)$ flavoured Higgs model
• $S_3$ as a unified family theory for quarks and leptons

Cited by in corpus (29)

• Fermion and scalar phenomenology of a 2-Higgs doublet model with $S_3$
• Spontaneous symmetry breaking in the $S_3$-symmetric scalar sector
• Non-Minimal Flavored ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ Left-Right Symmetric Model
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Alignment limit in three Higgs-doublet models
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Bottom-Up Discrete Symmetries for Cabibbo Mixing
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• $S_3$-inspired three-Higgs-doublet models: A class with a complex vacuum
• Scotogenic S3 symmetric generation of realistic neutrino mixing
• Delta(54) flavor phenomenology and strings
• A neutrino mass model with S3 symmetry and see-saw interplay
• High-scale validity of a model with Three-Higgs-doublets
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Complex $S_3$-symmetric 3HDM
• An $S_3$ flavored left-right symmetric model of quarks
• A Three Doublet Lepton-Specific Model
• Dual electroweak phase transition in the two-Higgs-doublet model with the $S_3$ discrete symmetry
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• SO(10) unification with horizontal symmetry
• Prospects of Indirect Detection for the Heavy S3 Dark Doublet
• Generating the Cabibbo Angle in Flavored Gauge Mediation Models with Discrete Non-Abelian Symmetries
• Spontaneous symmetry breaking in three-Higgs-doublet $S_3$-symmetric models
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures
• A lepton model with nearly Cobimaximal mixing
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry
• Nearly right unitarity triangle and CP phase in quark and lepton flavor mixings
• Twin electroweak bubble nucleation and gravitational wave under the $S_3$ symmetry of two-Higgs-doublet model