A Comprehensive Renormalisation Group Analysis of the Littlest Seesaw Model

Abstract

We present a comprehensive renormalisation group analysis of the Littlest Seesaw model involving two right-handed neutrinos and a very constrained Dirac neutrino Yukawa coupling matrix. We perform the first ${\chi }^2$ analysis of the low energy masses and mixing angles, in the presence of renormalisation group corrections, for various right-handed neutrino masses and mass orderings, both with and without supersymmetry. We find that the atmospheric angle, which is predicted to be near maximal in the absence of renormalisation group corrections, may receive significant corrections for some non-supersymmetric cases, bringing it into close agreement with the current best fit value in the first octant. By contrast, in the presence of supersymmetry, the renormalisation group corrections are relatively small, and the prediction of a near maximal atmospheric mixing angle is maintained, for the studied cases. Forthcoming results from T2K and NOvA will decisively test these models at a precision comparable to the renormalisation group corrections we have calculated.

48 pages, 8 figures

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Cited by in corpus (8)

• The minimal seesaw and leptogenesis models
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• The minimal type-I seesaw model with maximally-restricted texture zeros
• Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis
• Scalar-singlet assisted leptogenesis with CP violation from the vacuum
• Neutrino mixing sum rules and the Littlest Seesaw
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase