Finite Modular Groups and Lepton Mixing
By R. Toorop, F. Feruglio, C. Hagedorn. 2011
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Abstract We study lepton mixing patterns which are derived from finite modular groups Γ N , requiring subgroups G ν and G e to be preserved in the neutrino and charged lepton sectors, respectively. We show that only six groups Γ N with N = 3 , 4, 5, 7, 8, 16 are relevant. A comprehensive analysis is presented for G e arbitrary and G ν = Z 2 × Z 2 , as demanded if neutrinos are Majorana particles. We discuss interesting patterns arising from both groups G e and G ν being arbitrary. Several of the most promising patterns are specific deviations from tri-bimaximal mixing, all predicting θ 13 non-zero as favoured by the latest experimental data. We also comment on prospects to extend this idea to the quark sector.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/edf12275f7e28f7f386d45cad034de65aa860650
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In Nuclear and High Energy Physics
Citations in the corpus
- Neutrino mass and mixing with discrete symmetry (2013, background): “ on the observation that larger family symmetry groups can contain physically interesting Z2 ×Z2 subgroups which, in the basis of diagonal charged leptons, differ from the well-known TB Klein symmetry [110,111]. The first model of leptons adopting the family symmetry ∆(96) was constructed in [134]. He”
- Neutrino masses and mixing from double covering of finite modular groups (2019, background): “satisfying S2 = (ST)3 = TN = 1: (8) We see that 1 is a trivial group comprising only the identity element, 2 is isomorphic to S 3. Moreover, the isomorphisms 3 ˘=A 4, 4 ˘=S 4 and 5 ˘=A 5 are fullled [35]. The nite modular group N as avor symmetry has been widely studied to explain neutrino mixing. I”