Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis

Abstract

We show that the four high-energy Littlest Seesaw parameters in the flavour basis,namely two real Yukawa couplings plus the two right-handed neutrino masses, can be determined by an excellent fit to the seven currently constrained observables of low-energy neutrino data and leptogenesis. Taking into account renormalisation group corrections, we estimate ${\chi }^2\simeq 1.5-2.6$ for the three d.o.f., depending on the high-energy scale and the type of non supersymmetric Littlest Seesaw model. We extract allowed ranges of neutrino parameters from our fit data, including the approximate mu-tau symmetric predictions ${\theta }_{23}=45^o\pm 1^o$ and $\delta =-90^o\pm 5^o$, which, together with a normal mass ordering with $m_1=0$, will enable Littlest Seesaw models to be tested in future neutrino experiments.

Typos corrected, references added. 25 pages, 20 figures