Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay
We obtain predictions for the Majorana phases α21/2 and α31/2 of the 3×3 unitary neutrino mixing matrix U=Ue†Uν, Ue and Uν being the 3×3 unitary matrices resulting from the diagonalisation of the charged lepton and neutrino Majorana mass matrices, respectively. We focus on forms of Ue and Uν permitt...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2016-10-01
|
Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316302498 |
id |
doaj-6c823ae2a8e1441485ccf85c6275d164 |
---|---|
record_format |
Article |
spelling |
doaj-6c823ae2a8e1441485ccf85c6275d1642020-11-25T00:37:43ZengElsevierNuclear Physics B0550-32131873-15622016-10-01911C75480410.1016/j.nuclphysb.2016.08.019Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decayI. Girardi0S.T. Petcov1A.V. Titov2SISSA/INFN, Via Bonomea 265, 34136 Trieste, ItalySISSA/INFN, Via Bonomea 265, 34136 Trieste, ItalySISSA/INFN, Via Bonomea 265, 34136 Trieste, ItalyWe obtain predictions for the Majorana phases α21/2 and α31/2 of the 3×3 unitary neutrino mixing matrix U=Ue†Uν, Ue and Uν being the 3×3 unitary matrices resulting from the diagonalisation of the charged lepton and neutrino Majorana mass matrices, respectively. We focus on forms of Ue and Uν permitting to express α21/2 and α31/2 in terms of the Dirac phase δ and the three neutrino mixing angles of the standard parametrisation of U, and the angles and the two Majorana-like phases ξ21/2 and ξ31/2 present, in general, in Uν. The concrete forms of Uν considered are fixed by, or associated with, symmetries (tri-bimaximal, bimaximal, etc.), so that the angles in Uν are fixed. For each of these forms and forms of Ue that allow to reproduce the measured values of the three neutrino mixing angles θ12, θ23 and θ13, we derive predictions for phase differences (α21/2−ξ21/2), (α31/2−ξ31/2), etc., which are completely determined by the values of the mixing angles. We show that the requirement of generalised CP invariance of the neutrino Majorana mass term implies ξ21=0 or π and ξ31=0 or π. For these values of ξ21 and ξ31 and the best fit values of θ12, θ23 and θ13, we present predictions for the effective Majorana mass in neutrinoless double beta decay for both neutrino mass spectra with normal and inverted ordering.http://www.sciencedirect.com/science/article/pii/S0550321316302498 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
I. Girardi S.T. Petcov A.V. Titov |
spellingShingle |
I. Girardi S.T. Petcov A.V. Titov Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay Nuclear Physics B |
author_facet |
I. Girardi S.T. Petcov A.V. Titov |
author_sort |
I. Girardi |
title |
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
title_short |
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
title_full |
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
title_fullStr |
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
title_full_unstemmed |
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
title_sort |
predictions for the majorana cp violation phases in the neutrino mixing matrix and neutrinoless double beta decay |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 1873-1562 |
publishDate |
2016-10-01 |
description |
We obtain predictions for the Majorana phases α21/2 and α31/2 of the 3×3 unitary neutrino mixing matrix U=Ue†Uν, Ue and Uν being the 3×3 unitary matrices resulting from the diagonalisation of the charged lepton and neutrino Majorana mass matrices, respectively. We focus on forms of Ue and Uν permitting to express α21/2 and α31/2 in terms of the Dirac phase δ and the three neutrino mixing angles of the standard parametrisation of U, and the angles and the two Majorana-like phases ξ21/2 and ξ31/2 present, in general, in Uν. The concrete forms of Uν considered are fixed by, or associated with, symmetries (tri-bimaximal, bimaximal, etc.), so that the angles in Uν are fixed. For each of these forms and forms of Ue that allow to reproduce the measured values of the three neutrino mixing angles θ12, θ23 and θ13, we derive predictions for phase differences (α21/2−ξ21/2), (α31/2−ξ31/2), etc., which are completely determined by the values of the mixing angles. We show that the requirement of generalised CP invariance of the neutrino Majorana mass term implies ξ21=0 or π and ξ31=0 or π. For these values of ξ21 and ξ31 and the best fit values of θ12, θ23 and θ13, we present predictions for the effective Majorana mass in neutrinoless double beta decay for both neutrino mass spectra with normal and inverted ordering. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321316302498 |
work_keys_str_mv |
AT igirardi predictionsforthemajoranacpviolationphasesintheneutrinomixingmatrixandneutrinolessdoublebetadecay AT stpetcov predictionsforthemajoranacpviolationphasesintheneutrinomixingmatrixandneutrinolessdoublebetadecay AT avtitov predictionsforthemajoranacpviolationphasesintheneutrinomixingmatrixandneutrinolessdoublebetadecay |
_version_ |
1725299789870923776 |