Perturbative Estimates of Lepton Mixing Angles in Unified Models

Details Perturbative Estimates of Lepton Mixing Angles in Unified Models Perturbative Estimates of Lepton Mixing Angles in Unified Models

2008-10-21

arxiv.org/abs/0810.3863v2

Nucl.Phys.B820:32-46,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages; v2: minor corrections

Scientific paper

10.1016/j.nuclphysb.2009.05.006

Many unified models predict two large neutrino mixing angles, with the charged lepton mixing angles being small and quark-like, and the neutrino masses being hierarchical. Assuming this, we present simple approximate analytic formulae giving the lepton mixing angles in terms of the underlying high energy neutrino mixing angles together with small perturbations due to both charged lepton corrections and renormalisation group (RG) effects, including also the effects of third family canonical normalization (CN). We apply the perturbative formulae to the ubiquitous case of tri-bimaximal neutrino mixing at the unification scale, in order to predict the theoretical corrections to mixing angle predictions and sum rule relations, and give a general discussion of all limiting cases.

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