Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-12-25
Phys.Rev.D75:073023,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 3 eps figures. Comments added, to appear in PRD
Scientific paper
10.1103/PhysRevD.75.073023
We study corrections to tri-bimaximal (TBM) neutrino mixing from renormalization group (RG) running and from Planck scale effects. We show that while the RG effects are negligible in the standard model (SM), for quasi-degenerate neutrinos and large $\tan\beta$ in the minimal supersymmetric standard model (MSSM) all three mixing angles may change significantly. In both these cases, the direction of the modification of $\theta_{12}$ is fixed, while that of $\theta_{23}$ is determined by the neutrino mass ordering. The Planck scale effects can also change $\theta_{12}$ up to a few degrees in either direction for quasi-degenerate neutrinos. These effects may dominate over the RG effects in the SM, and in the MSSM with small $\tan \beta$. The usual constraints on neutrino masses, Majorana phases or $\tan \beta$ stemming from RG running arguments can then be relaxed. We quantify the extent of Planck effects on the mixing angles in terms of "mismatch phases" which break the symmetries leading to TBM. In particular, we show that when the mismatch phases vanish, the mixing angles are not affected in spite of the Planck scale contribution. Similar statements may be made for $\mu$-$\tau$ symmetric mass matrices.
Dighe Amol
Goswami Srubabati
Rodejohann Werner
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