Tri-direct CP in the Littlest Seesaw playground

Abstract We discuss spontaneously broken CP symmetry in two right-handed neutrino models based on the idea of having a different residual flavour symmetry, together with a different residual CP symmetry, associated with each of the two right-handed neutrinos. The charged lepton sector also has a dif...

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Main Authors: Gui-Jun Ding, Stephen F. King, Cai-Chang Li
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2018)003
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author Gui-Jun Ding
Stephen F. King
Cai-Chang Li
author_facet Gui-Jun Ding
Stephen F. King
Cai-Chang Li
author_sort Gui-Jun Ding
collection DOAJ
description Abstract We discuss spontaneously broken CP symmetry in two right-handed neutrino models based on the idea of having a different residual flavour symmetry, together with a different residual CP symmetry, associated with each of the two right-handed neutrinos. The charged lepton sector also has a different residual flavour symmetry. In such a tri-direct CP approach, we show that the combination of the three residual flavour and two residual CP symmetries provides a new way of fixing the parameters. To illustrate the approach, we revisit the Littlest Seesaw (LSS) model based on S 4 and then propose new variants which have not so far appeared in the literature, with different predictions for each variant. We analyse numerically the predictions of the new variants, and then propose an explicit model which can realise one of the successful benchmark points, based on the atmospheric flavon vacuum alignment (1, ω 2, ω) and the solar flavon vacuum alignment (1, −7/2, −7/2).
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spelling doaj.art-bd28c69a831d4d399d236dbce8d82f452022-12-22T03:46:41ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181213210.1007/JHEP12(2018)003Tri-direct CP in the Littlest Seesaw playgroundGui-Jun Ding0Stephen F. King1Cai-Chang Li2Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of ChinaPhysics and Astronomy, University of SouthamptonInterdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of ChinaAbstract We discuss spontaneously broken CP symmetry in two right-handed neutrino models based on the idea of having a different residual flavour symmetry, together with a different residual CP symmetry, associated with each of the two right-handed neutrinos. The charged lepton sector also has a different residual flavour symmetry. In such a tri-direct CP approach, we show that the combination of the three residual flavour and two residual CP symmetries provides a new way of fixing the parameters. To illustrate the approach, we revisit the Littlest Seesaw (LSS) model based on S 4 and then propose new variants which have not so far appeared in the literature, with different predictions for each variant. We analyse numerically the predictions of the new variants, and then propose an explicit model which can realise one of the successful benchmark points, based on the atmospheric flavon vacuum alignment (1, ω 2, ω) and the solar flavon vacuum alignment (1, −7/2, −7/2).http://link.springer.com/article/10.1007/JHEP12(2018)003Discrete SymmetriesNeutrino Physics
spellingShingle Gui-Jun Ding
Stephen F. King
Cai-Chang Li
Tri-direct CP in the Littlest Seesaw playground
Journal of High Energy Physics
Discrete Symmetries
Neutrino Physics
title Tri-direct CP in the Littlest Seesaw playground
title_full Tri-direct CP in the Littlest Seesaw playground
title_fullStr Tri-direct CP in the Littlest Seesaw playground
title_full_unstemmed Tri-direct CP in the Littlest Seesaw playground
title_short Tri-direct CP in the Littlest Seesaw playground
title_sort tri direct cp in the littlest seesaw playground
topic Discrete Symmetries
Neutrino Physics
url http://link.springer.com/article/10.1007/JHEP12(2018)003
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