Gui-Jun Ding

Spontaneous CP violation from vacuum alignment in S 4 models of leptons

A bstractWe construct models of leptons based on S4 family symmetry combined with a generalised CP symmetry HCP. We show how the flavon potential can spontaneously break the symmetry S4 ⋊ HCP down to

Generalised CP and A4 family symmetry

{Z_2}\times H_{CP}^v

Generalised CP and Δ(6n2) family symmetry in semi-direct models of leptons

in the neutrino sector, where the choice of preserved CP symmetry

Unparticle physics in DIS

H_{CP}^v

Lepton mixing parameters from Δ(48) family symmetry and generalised CP

is controlled by free (real) parameters in the flavon potential. We propose two realistic models of this kind, one at the effective level and one at the renormalisable level. Both models predict trimaximal lepton mixing with CP being either fully preserved or maximally broken, with the intermediate possibility forbidden by the structure of the models.

Lepton mixing in A5 family symmetry and generalized CP

A bstractWe perform a comprehensive study of family symmetry models based on A4 combined with the generalised CP symmetry HCP. We investigate the lepton mixing parameters which can be obtained from the original symmetry A4 ⋊ HCP breaking to different remnant symmetries in the neutrino and charged lepton sectors. We find that only one case is phenomenologically viable, namely

Lepton Flavor Mixing and CP Symmetry

G_{\mathrm{CP}}^{\nu}\cong Z_2^S\times H_{\mathrm{CP}}^{\nu }

Warped flavor symmetry predictions for neutrino physics

in the neutrino sector and

Canonical charmonium interpretation for Y(4360) and Y(4660)

G_{\mathrm{CP}}^l\cong Z_3^T\rtimes H_{\mathrm{CP}}^l

Generalized μ–τ reflection symmetry and leptonic CP violation

in the charged lepton sector, leading to the prediction of no CP violation, namely δCP and the Majorana phases α21 and α31 are all equal to either zero or π. We then propose an effective supersymmetric model based on the symmetry A4 ⋊ HCP in which trimaximal lepton mixing is predicted together with either zero CP violation or δCP ≃ ±π/2 with non-trivial Majorana phases. An ultraviolet completion of the effective model yields a neutrino mass matrix which depends on only three real parameters. As a result of this, all three CP phases and the absolute neutrino mass scale are determined, the atmospheric mixing angle is maximal, and the Dirac CP can either be preserved with δCP = 0, π or maximally broken with δCP = ±π/2 and sharp predictions for the Majorana phases and neutrinoless double beta decay.