Above a critical area, a complex scalar on a torus with flux M develops a non-zero coordinate-dependent vacuum expectation value, yielding 1, 2, or 6 degenerate configurations for M=1,2,3 in the lowest-mode approximation.
Fermion masses, mixings and pro ton decay in a Randall-Sundrum model
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abstract
We consider a Randall-Sundrum model in which the Standard Model fermions and gauge bosons correspond to bulk fields. We show how the observed charged fermion masses and CKM mixings can be explained, without introducing hierarchical Yukawa couplings. We then study the impact on the mass scales associated with non-renormalizable operators responsible for proton decay, neutrino masses, and flavor changing neutral currents. Although mass scales as high as 10^{11}- 10^{12} GeV are in principle possible, dimensionless couplings of order 10^{-8} are still needed to adequately suppress proton decay. Large neutrino mixings seem to require new physics beyond the Standard Model.
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Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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Vacuum structure of a scalar field on a torus with uniform magnetic flux
Above a critical area, a complex scalar on a torus with flux M develops a non-zero coordinate-dependent vacuum expectation value, yielding 1, 2, or 6 degenerate configurations for M=1,2,3 in the lowest-mode approximation.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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