Flavored PecceiQuinn symmetry
Abstract
In an attempt to uncover any underlying physics in the standard model (SM), we suggest a μ  τ power law in the lepton sector, such that relatively large 13 mixing angle with bilarge ones can be derived. On the basis of this, we propose a neat and economical model for both the fermion mass hierarchy problem of the SM and a solution to the strong charge parity (C P ) problem, in a way that no domain wall problem occurs, based on A_{4}×U (1 )_{X} symmetry in a supersymmetric framework. Here we refer to the global U (1 )_{X} symmetry that can explain the above problems as "flavored PecceiQuinn symmetry." In the model, a direct coupling of the SM gauge singlet flavon fields responsible for spontaneous symmetry breaking to ordinary quarks and leptons, both of which are charged under U (1 )_{X}, comes to pass through Yukawa interactions, and all vacuum expectation values breaking the symmetries are connected to each other. So the scale of PecceiQuinn symmetry breaking is shown to be roughly located around the 1 0^{12} GeV section through its connection to the fermion masses. The model predictions are shown to lie on the testable regions in the very near future through ongoing experiments for neutrino oscillation, neutrinoless double beta decay, and the axion. We examine the model predictions, arisen from the μ  τ power law, on leptonic C P violation, neutrinoless double beta decay, and atmospheric mixing angle, and show that the fermion mass and mixing hierarchies are in good agreement with the present data. Interestingly, we show the model predictions on the axion mass m_{a}≃2.53 ×1 0^{5} eV and the axion coupling to photon g_{a γ γ}≃1.33 ×1 0^{15} GeV^{1} . And subsequently the square of the ratio between them is shown to be one or two orders of magnitude lower than that of the conventional axion model.
 Publication:

Physical Review D
 Pub Date:
 March 2015
 DOI:
 10.1103/PhysRevD.91.056005
 arXiv:
 arXiv:1410.1634
 Bibcode:
 2015PhRvD..91e6005A
 Keywords:

 11.30.Hv;
 12.15.Ff;
 12.60.Jv;
 14.60.St;
 Flavor symmetries;
 Quark and lepton masses and mixing;
 Supersymmetric models;
 Nonstandardmodel neutrinos righthanded neutrinos etc.;
 High Energy Physics  Phenomenology
 EPrint:
 60 pages, 6 figures, version to appear in Phys. Rev. D