6533b7d1fe1ef96bd125c307
RESEARCH PRODUCT
S3 symmetry and the quark mixing matrix
Dipankar DasUjjal Kumar DeyPalash B. Palsubject
QuarkPhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsCabibbo–Kobayashi–Maskawa matrixSpontaneous symmetry breakingScalar (mathematics)High Energy Physics::PhenomenologyFOS: Physical sciences01 natural scienceslcsh:QC1-999High Energy Physics - PhenomenologyExplicit symmetry breakingHigh Energy Physics - Phenomenology (hep-ph)Quadratic equation0103 physical sciencesHigh Energy Physics::ExperimentSinglet state010306 general physicslcsh:PhysicsGauge symmetrydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-02-01 | Physics Letters B |