Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds

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.

21 pages

References in corpus (11)

• The Unique Horizontal Symmetry of Leptons
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• A SUSY A4 model for fermion masses and mixings
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Radiatively broken symmetries of nonhierarchical neutrinos
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing
• Normal versus inverted hierarchical models within $\mu -\tau$ symmetry

Cited by in corpus (3)

• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds