Perturbative estimates of lepton mixing angles in unified models

被引:29
作者
Antusch, Stefan [1 ]
King, Stephen F. [2 ]
Malinsky, Michal [3 ]
机构
[1] Max Planck Inst Phys Werner Heisenberg Inst, D-80805 Munich, Germany
[2] Univ Southampton, Sch Phys & Astron, Southampton SO17 1BJ, Hants, England
[3] Royal Inst Technol KTH AlbaNova Univ Ctr, Sch Engn Sci, Dept Theoret Phys, SE-10691 Stockholm, Sweden
关键词
NEUTRINO MASS; FAMILY SYMMETRY; CP PHASES; RENORMALIZATION; MATRIX; DOMINANCE; EQUATIONS; SU(3);
D O I
10.1016/j.nuclphysb.2009.05.006
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. We also discuss the implications for the sum rule relations of the measurement of a non-zero reactor angle, as hinted at by recent experimental measurements. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:32 / 46
页数:15
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