(\mathbf{\theta_{13}^{}}\) and The Flavor Ring

We present the results of a numerical search for the Dirac Yukawa matrices of the Standard Model, consistent with the quark and lepton masses and their mixing angles. We assume a diagonal up-quark matrix, natural in \(\bs{\m Z_7 \rtimes \m Z_3}\), Bimaximal or Tri-bimaximal seesaw mixing, and \(SU(5...

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Bibliographic Details
Published in:arXiv.org 2014-05
Main Authors: Kile, Jennifer, Pérez, M Jay, Ramond, Pierre, Zhang, Jue
Format: Article
Language:English
Subjects:
Electron mass
Flavor (particle physics)
Leptons
Mathematical models
Quarks
Online Access:Get full text
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Summary:We present the results of a numerical search for the Dirac Yukawa matrices of the Standard Model, consistent with the quark and lepton masses and their mixing angles. We assume a diagonal up-quark matrix, natural in \(\bs{\m Z_7 \rtimes \m Z_3}\), Bimaximal or Tri-bimaximal seesaw mixing, and \(SU(5)\) unification to relate the down-quark and charged lepton Dirac Yukawa matrices using Georgi-Jarlskog mechanisms. The measured value of \(\theta_{13}\) requires an asymmetric down-quark Yukawa matrix. Satisfying the measured values of both \(\theta_{13}\) and the electron mass restricts the number of solutions, underlying the importance of the recent measurement of the reactor angle.
ISSN:2331-8422
DOI:10.48550/arxiv.1403.6136