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Journal Article

Corrections to tribimaximal neutrino mixing: Renormalization and Planck scale effects


Rodejohann,  Werner
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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Dighe, A., Goswami, S., & Rodejohann, W. (2007). Corrections to tribimaximal neutrino mixing: Renormalization and Planck scale effects. Physical Review D, 75(7): 073023, pp. 1-11. doi:10.1103/PhysRevD.75.073023.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-7D68-B
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. If we include only the Majorana phases in the neutrino mixing matrix, Planck scale effects for the mixing angles in TBM are absent. Sizable Planck effects require the so-called ``unphysical phases'' of the neutrino mixing matrix to be non-vanishing, which underlines the importance of these phases.