Minimal Modification To The Tri-bimaximal Neutrino Mixing

Details Minimal Modification To The Tri-bimaximal Neutrino Mixing Minimal Modification To The Tri-bimaximal Neutrino Mixing

2006-07-14

arxiv.org/abs/hep-ph/0607163v3

Phys.Lett.B645:427-431,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex 11 pages with no figures. References added

Scientific paper

10.1016/j.physletb.2006.11.055

Current experimental data on neutrino oscillations are consistent with the tri-bimaximal mixing. If future experimental data will determine a non-zero $V_{e3}$ and/or find CP violations in neutrino oscillations, there is the need to modify the mixing pattern. We find that a simple neutrino mass matrix, resulting from $A_4$ family symmetry breaking with residual $Z_3$ and $Z_2$ discrete symmetries respectively for the Higgs sectors generating the charged lepton and neutrino mass matrices, can satisfy the required modifications. The neutrino mass matrix is minimally modified with just one additional complex parameter compared with the one producing the tri-bimaximal mixing. In this case, the CP violating Jarlskog factor $J$ has a simple form ($|J|=|V_{e1}V_{e3}|/2\sqrt{3}$ for real neutrino mass matrix), and also $V_{\mu i} = 1/\sqrt{3}$. We also discuss how this mixing matrix can be tested experimentally.

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