Warped flavor symmetry predictions for neutrino physics

Abstract

A realistic five-dimensional warped scenario with all standard model fields propagating in the bulk is proposed. Mass hierarchies would in principle be accounted for by judicious choices of the bulk mass parameters, while fermion mixing angles are restricted by a ∆(27) flavor symmetry broken on the branes by flavon fields.The latter gives stringent predictions for the neutrino mixing parameters, and the Dirac CP violation phase, all described in terms of only two independent parameters at leading order. The scheme also gives an adequate CKM fit and should be testable within upcoming oscillation experiments.

Flavour and CP predictions from orbifold compactification

“…This constitutes a generalization of the idea of Randall and Sundrum whose aim was to address just the weak gauge hierarchy problem [5]. It has been shown that such a geometrical view of fermion mass hierarchies can be made consistent with the imposition of family symmetries to account for fermion mixing [6].…”

“…In order to simplify the analysis it is convenient to rescale the original radii of the torus as 2πR 1 ⇒ 1 and 2πR 2 ⇒ 1 and to adopt the complex notation z = x 5 + ix 6 With the help of the root of unity ω = e iθ = e 2iπ/3 , the symmetries of the orbifold from Eqs. (1,2) can be written as…”

Long-Baseline Oscillation Experiments as a Tool to Probe High Energy Flavor Symmetry Models

“…As an example, in Fig. 3 we plot the allowed parameter space o two discrete symmetry based models, the Warped Flavour symmetry (WFS) model [41] -Left and the Revamped A 4 Babu-Ma-Valle (BMV) model [89] -Right. The black curves represents currently unconstrained (Standard-3ν) 90% C. L. regions for the neutrino parameters and the black point the best-fit value, while the blue region represents the 3σ allowed parameter space of the two models.…”

Novel Randall-Sundrum model withS3flavor symmetry

“…It was used as a flavor symmetry for the first time by [84] and continues to be explored since θ 13 was measured [85][86][87][88][89][90][91][92][93][94][95][96][97][98]. A scenario that remains relatively unexplored is of combining discrete flavor symmetries with extra dimensions [57,80,[99][100][101][102][103][104]. In this work we consider using S 3 in a modified Randall-Sundrum 1 (RS1) [105] model, where the Higgs doublet is in the bulk.…”