Tri-direct CP in the Littlest Seesaw playground

Ding, Gui-Jun (0000000121679639, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China) ; King, Stephen (0000 0004 1936 9297, Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.) ; Li, Cai-Chang  (0000000121679639, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China)

15 December 2018

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).


Published in: JHEP 1812 (2018) 003
Published by: Springer/SISSA
DOI: 10.1007/JHEP12(2018)003
arXiv: 1807.07538
License: CC-BY-4.0



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