A flavour GUT model with theta(PMNS)(13) similar or equal to theta(C)/ root 2

作者：Antusch Stefan; Gross Christian; Maurer Vinzenz; Sluka Constantin^*

来源：Nuclear Physics B, 2013, 877(3): 772-791.

DOI：10.1016/j.nuclphysb.2013.11.003

We propose a supersymmetric SU(5) GUT model with an A(4) family symmetry - including a full flavon and messenger sector - which realises the relation H theta(PMNS)(13) similar or equal to theta(C)/ root 2. The neutrino sector features tribimaximal mixing, and theta(PMNS)(13) similar or equal to theta(C)/ root 2 emerges from the charged lepton contribution to the PMNS matrix, which in turn is linked to quark mixing via specific GUT relations. These GUT relations arise after GUT symmetry breaking from a novel combination of group theoretical Clebsch-Gordan factors, which in addition to large theta(PMNS)(13) lead to promising quark-lepton mass ratios for all generations of quarks and leptons and to m(s)/m(d) = 18.95(-0.24)(+0.33), in excellent agreement with experimental results. The model also features spontaneous CP violation, with all quark and lepton CP phases determined from family symmetry breaking. We perform a full Markov Chain Monte Carlo fit to the available quark and lepton data, and discuss how the model can be tested by present and future experiments.

• 出版日期2013-12-21