The University of Southampton
University of Southampton Institutional Repository

Invariant see-saw models and sequential dominance

Invariant see-saw models and sequential dominance
Invariant see-saw models and sequential dominance
We propose an invariant see-saw (ISS) approach to model building, based on the observation that see-saw models of neutrino mass and mixing fall into basis invariant classes labelled by the Casas–Ibarra R-matrix, which we prove to be invariant not only under basis transformations but also non-unitary right-handed neutrino transformations S. According to the ISS approach, given any see-saw model in some particular basis one may determine the invariant R-matrix and hence the invariant class to which that model belongs. The formulation of see-saw models in terms of invariant classes puts them on a firmer theoretical footing, and allows different see-saw models in the same class to be related more easily, while their relation to the R-matrix makes them more easily identifiable in phenomenological studies. To illustrate the ISS approach we show that sequential dominance (SD) models form basis invariant classes in which the R-matrix is approximately related to a permutation of the unit matrix, and quite accurately so in the case of constrained sequential dominance (CSD) and tri-bimaximal mixing. Using the ISS approach we discuss examples of models in which the mixing naturally arises (at least in part) from the charged lepton or right-handed neutrino sectors and show that they are in the same invariant class as SD models. We also discuss the application of our results to flavour-dependent leptogenesis where we show that the case of a real R-matrix is approximately realized in SD, and accurately realized in CSD.
0550-3213
52-83
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538

King, S.F. (2007) Invariant see-saw models and sequential dominance. Nuclear Physics B, 786 (1-2), 52-83. (doi:10.1016/j.nuclphysb.2007.06.024).

Record type: Article

Abstract

We propose an invariant see-saw (ISS) approach to model building, based on the observation that see-saw models of neutrino mass and mixing fall into basis invariant classes labelled by the Casas–Ibarra R-matrix, which we prove to be invariant not only under basis transformations but also non-unitary right-handed neutrino transformations S. According to the ISS approach, given any see-saw model in some particular basis one may determine the invariant R-matrix and hence the invariant class to which that model belongs. The formulation of see-saw models in terms of invariant classes puts them on a firmer theoretical footing, and allows different see-saw models in the same class to be related more easily, while their relation to the R-matrix makes them more easily identifiable in phenomenological studies. To illustrate the ISS approach we show that sequential dominance (SD) models form basis invariant classes in which the R-matrix is approximately related to a permutation of the unit matrix, and quite accurately so in the case of constrained sequential dominance (CSD) and tri-bimaximal mixing. Using the ISS approach we discuss examples of models in which the mixing naturally arises (at least in part) from the charged lepton or right-handed neutrino sectors and show that they are in the same invariant class as SD models. We also discuss the application of our results to flavour-dependent leptogenesis where we show that the case of a real R-matrix is approximately realized in SD, and accurately realized in CSD.

This record has no associated files available for download.

More information

Published date: 10 December 2007

Identifiers

Local EPrints ID: 57372
URI: http://eprints.soton.ac.uk/id/eprint/57372
ISSN: 0550-3213
PURE UUID: 604e22e0-82c6-4615-8b43-f0e053a6f753

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:06

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×