English

Neutrino symmetries from high to low scales

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

Proposed symmetry relations, e.g., quark-lepton complementarity (QLC) or tribimaximal mixing (TBM), need to be imposed at a high scale 1012\wedge \sim 10^{12} GeV characterising the large masses of right-handed neutrinos required to implement the seesaw mechanism. RG evolution down to the laboratory scale λ103\lambda \sim 10^3 GeV, generically prone to spoil these relations and their predicted neutrino mixing patterns, can be made to preserve them by appropriately constraining the Majorana phases α2,3\alpha_{2,3}. This is explicitly demonstrated in the MSSM for two versions of QLC and two versions of TBM. A preference for α2π\alpha_2 \simeq \pi (i.e. m1m2m_1 \simeq - m_2) emerges in each case. Discrimination among the four cases is shown to be possible by future measurements of θ13\theta_{13}.

Keywords

Cite

@article{arxiv.0706.2532,
  title  = {Neutrino symmetries from high to low scales},
  author = {Probir Roy},
  journal= {arXiv preprint arXiv:0706.2532},
  year   = {2008}
}

Comments

8 pages, 2 figures. Talk given at the International Workshop on Theoretical and Experimental Physics, IIT (Roorkee), March 2007