θ^PMNS_13 = θ_C / \sqrt2 from GUTs
arXiv:1205.1051 · doi:10.1016/j.nuclphysb.2012.09.002
Abstract
The recent observations of the leptonic mixing angle θ^PMNS_13 are consistent with θ^PMNS_13 = θ_C / \sqrt2 (with θ_C being the Cabibbo angle θ^CKM_12). We discuss how this relation can emerge in Grand Unified Theories (GUTs) via charged lepton corrections. The key ingredient is that in GUTs the down-type quark Yukawa matrix and the charged lepton Yukawa matrix are generated from the same set of GUT operators, which implies that the resulting entries are linked and differ only by group theoretical Clebsch factors. This allows a link θ^e_12 = θ_C to be established, which can induce θ^PMNS_13 = θ_C / \sqrt2 provided that the 1-3 mixing in the neutrino mass matrix is much smaller than θ_C. We find simple conditions under which θ^PMNS_13 = θ_C / \sqrt2 can arise via this link in SU(5) GUTs and Pati-Salam models. We also discuss possible corrections to this relation. Using lepton mixing sum rules different neutrino mixing patterns can be distinguished by their predictions for the Dirac CP phase δ^PMNS.
v3: 18 pages, section on corrections to exact relation added
References in corpus (16)
- Observation of electron-antineutrino disappearance at Daya Bay
- Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
- Quark-Lepton Complementarity in Unified Theories
- New GUT predictions for quark and lepton mass ratios confronted with phenomenology
- U_{PMNS} = U_ell^dagger U_nu
- An SO(10)XS4 Model of Quark-Lepton Complementarity
- Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
- Large U_{e3} and Tri-bimaximal Mixing
- Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
- Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
- Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
- Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
- A new relation between quark and lepton mixing matrices
- A new simple form of quark mixing matrix
- Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
- Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment