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Third family corrections to tri-bimaximal lepton mixing and a new sum rule

Third family corrections to tri-bimaximal lepton mixing and a new sum rule
Third family corrections to tri-bimaximal lepton mixing and a new sum rule
We investigate the theoretical stability of the predictions of tri-bimaximal neutrino mixing with respect to third family wave-function corrections. Such third family wave-function corrections can arise from either the canonical normalisation of the kinetic terms or renormalisation group running effects. At leading order both sorts of corrections can be subsumed into a single universal parameter. For hierarchical neutrinos, this leads to a new testable lepton mixing sum rule s = r cos ? + 2/3a (where s,r,a describe the deviations of solar, reactor and atmospheric mixing angles from their tri-bimaximal values, and ? is the observable Dirac CP phase) which is stable under all leading order third family wave-function corrections, as well as Cabibbo-like charged lepton mixing effects.
0370-2693
263-266
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinsky, Michal
7f4e2b8d-0bf6-4592-9bbd-ec61f52b8b5c
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinsky, Michal
7f4e2b8d-0bf6-4592-9bbd-ec61f52b8b5c

Antusch, Stefan, King, Stephen F. and Malinsky, Michal (2009) Third family corrections to tri-bimaximal lepton mixing and a new sum rule. Physics Letters B, 671 (2), 263-266. (doi:10.1016/j.physletb.2008.12.013).

Record type: Article

Abstract

We investigate the theoretical stability of the predictions of tri-bimaximal neutrino mixing with respect to third family wave-function corrections. Such third family wave-function corrections can arise from either the canonical normalisation of the kinetic terms or renormalisation group running effects. At leading order both sorts of corrections can be subsumed into a single universal parameter. For hierarchical neutrinos, this leads to a new testable lepton mixing sum rule s = r cos ? + 2/3a (where s,r,a describe the deviations of solar, reactor and atmospheric mixing angles from their tri-bimaximal values, and ? is the observable Dirac CP phase) which is stable under all leading order third family wave-function corrections, as well as Cabibbo-like charged lepton mixing effects.

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More information

Submitted date: 5 December 2007
Published date: 19 January 2009
Additional Information: arXiv:0711.4727v2

Identifiers

Local EPrints ID: 144075
URI: https://eprints.soton.ac.uk/id/eprint/144075
ISSN: 0370-2693
PURE UUID: cee17852-3bbd-4e95-8c3a-03ee89944889

Catalogue record

Date deposited: 18 Apr 2011 14:29
Last modified: 18 Jul 2017 23:08

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