Renormalisation group corrections to the littlest seesaw model and maximal atmospheric mixing

King, Stephen F., Zhang, Jue and Zhou, Shun (2016) Renormalisation group corrections to the littlest seesaw model and maximal atmospheric mixing. Journal of High Energy Physics, 2016 (23). (doi:10.1007/JHEP12(2016)023).

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Abstract

The Littlest Seesaw (LS) model involves two right-handed neutrinos and a very constrained Dirac neutrino mass matrix, involving one texture zero and two independent Dirac masses, leading to a highly predictive scheme in which all neutrino masses and the entire PMNS matrix is successfully predicted° in terms of just two real parameters. We calculate the renormalisation group (RG) corrections to the LS predictions, with and without supersymmetry, including also the threshold effects induced by the decoupling of heavy Majorana neutrinos both analytically and numerically. We find that the predictions for neutrino mixing angles and mass ratios are rather stable under RG corrections. For example we find that the LS model with RG corrections predicts close to maximal atmospheric mixing, Θ₂₃=45º±1º, in most considered cases, in tension with the latest NOvA results. The techniques used here apply to other seesaw models with a strong normal mass hierarchy.

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Accepted/In Press date: 28 November 2016

e-pub ahead of print date: 6 December 2016

Published date: 6 December 2016

Additional Information: 28 pages, 4 figures, 5 tables; v2: references added, include the scenario where both mass scales of right-handed neutrinos are varied, version to be published in JHEP

Keywords: hep-ph