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arXiv · 0809.3064

Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds

Tatsuo Kobayashi·Yuji Omura·Koichi Yoshioka
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Abstract

Flavor symmetry has been widely studied for figuring out the masses and mixing angles of standard-model fermions. In this paper we present a framework for handling flavor symmetry breaking where the symmetry breaking is triggered by boundary conditions of scalar fields in extra-dimensional space. The alignment of scalar expectation values is achieved without referring to any details of scalar potential and its minimization procedure. As applications to non-abelian discrete flavor symmetries, illustrative lepton mass models are constructed where the S3 and A4 flavor symmetries are broken down to the directions leading to the tri-bimaximal form of lepton mixing and realistic mass patterns.

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Tatsuo Kobayashi, Yuji Omura, Koichi Yoshioka. 2008-09-18. Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds. https://doi.org/10.1103/physrevd.78.115006

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