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2013

A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)

Antusch, Stefan, Gross, Christian, Maurer, Vinzenz et al.

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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 theta_13^PMNS \simeq theta_C / sqrt(2).

The neutrino sector features tri-bimaximal mixing, and theta_13^PMNS \simeq theta_C / sqrt(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_13^PMNS 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.

A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2) · Around

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