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Perturbative estimates of lepton mixing angles in unified models

Perturbative estimates of lepton mixing angles in unified models
Perturbative estimates of lepton mixing angles in unified models
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.

0550-3213
32
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinský, Michal
785b0309-215d-4dec-9579-bcbe53ee3677
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinský, Michal
785b0309-215d-4dec-9579-bcbe53ee3677

Antusch, Stefan, King, Stephen F. and Malinský, Michal (2009) Perturbative estimates of lepton mixing angles in unified models. Nuclear Physics B, 820 (1-2), 32. (doi:10.1016/j.nuclphysb.2009.05.006).

Record type: Article

Abstract

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.

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Published date: 11 October 2009

Identifiers

Local EPrints ID: 144103
URI: https://eprints.soton.ac.uk/id/eprint/144103
ISSN: 0550-3213
PURE UUID: 042a729f-eb3a-4bcc-a1ed-e1351d35bc97

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Date deposited: 26 Apr 2011 13:13
Last modified: 18 Jul 2017 23:08

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