A_4 model for the quark mass matrices
L. Lavoura, H. Kuhbock
TL;DR
This paper introduces an A_4 symmetry-based model for quark masses and mixings, utilizing scalar triplets and specific vacuum alignments to accurately reproduce observed quark mixing ratios while maintaining CP symmetry in charged interactions.
Contribution
It presents a novel A_4 family symmetry model with specific scalar field arrangements that successfully fit quark mixing data and preserve CP symmetry in charged interactions.
Findings
Accurately fits |V_ub/V_cb| ratio
Maintains CP symmetry in charged interactions
Uses scalar triplet with specific vacuum alignment
Abstract
We propose a model for the quark masses and mixings based on an A_4 family symmetry. Three scalar SU(2) doublets form a triplet of A_4. The three left-handed-quark SU(2) doublets are also united in a triplet of A_4. The right-handed quarks are singlets of A_4. The A_4-symmetric scalar potential leads to a vacuum in which two of the three scalar SU(2) doublets have expectation values with equal moduli. Our model makes an excellent fit of the observed |V_ub/V_cb|. The symmetry CP is respected in the charged gauge interactions of the quarks.
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