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Models of neutrino mass, mixing and CP violation

Models of neutrino mass, mixing and CP violation
Models of neutrino mass, mixing and CP violation
In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation. We begin with an overview of the Standard Model puzzles, followed by a description of some classic lepton mixing patterns. Lepton mixing may be regarded as a deviation from tri-bimaximal mixing, with charged lepton corrections leading to solar mixing sum rules, or tri-maximal lepton mixing leading to atmospheric mixing rules. We survey neutrino mass models, using a roadmap based on the open questions in neutrino physics. We then focus on the seesaw mechanism with right-handed neutrinos, where sequential dominance (SD) can account for large lepton mixing angles and CP violation, with precise predictions emerging from constrained SD (CSD). We define the flavour problem and discuss progress towards a theory of flavour using GUTs and discrete family symmetry. We classify models as direct, semidirect or indirect, according to the relation between the Klein symmetry of the mass matrices and the discrete family symmetry, in all cases focussing on spontaneous CP violation. Finally we give two examples of realistic and highly predictive indirect models with CSD, namely an A to Z of flavour with Pati-Salam and a fairly complete $A_4\times SU(5)$ SUSY GUT of flavour, where both models have interesting implications for leptogenesis.
hep-ph
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

King, Stephen F. (2015) Models of neutrino mass, mixing and CP violation. Journal of Physics G: Nuclear and Particle Physics, 42 (12), [123001]. (doi:10.1088/0954-3899/42/12/123001).

Record type: Article

Abstract

In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation. We begin with an overview of the Standard Model puzzles, followed by a description of some classic lepton mixing patterns. Lepton mixing may be regarded as a deviation from tri-bimaximal mixing, with charged lepton corrections leading to solar mixing sum rules, or tri-maximal lepton mixing leading to atmospheric mixing rules. We survey neutrino mass models, using a roadmap based on the open questions in neutrino physics. We then focus on the seesaw mechanism with right-handed neutrinos, where sequential dominance (SD) can account for large lepton mixing angles and CP violation, with precise predictions emerging from constrained SD (CSD). We define the flavour problem and discuss progress towards a theory of flavour using GUTs and discrete family symmetry. We classify models as direct, semidirect or indirect, according to the relation between the Klein symmetry of the mass matrices and the discrete family symmetry, in all cases focussing on spontaneous CP violation. Finally we give two examples of realistic and highly predictive indirect models with CSD, namely an A to Z of flavour with Pati-Salam and a fairly complete $A_4\times SU(5)$ SUSY GUT of flavour, where both models have interesting implications for leptogenesis.

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Accepted/In Press date: 2 October 2015
Published date: 9 November 2015
Additional Information: 52 pages, 17 figures. Invited Topical Review, version published in Journal of Physics G: Nuclear and Particle Physics
Keywords: hep-ph
Organisations: Theory Group

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Local EPrints ID: 410378
URI: http://eprints.soton.ac.uk/id/eprint/410378
PURE UUID: cd199acb-f669-4ded-8f5c-db5a90741e16

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Date deposited: 07 Jun 2017 16:31
Last modified: 02 Dec 2019 19:06

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