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

TL;DR

This paper demonstrates that the four high-energy parameters of the Littlest Seesaw model can be precisely determined by fitting to current low-energy neutrino data and leptogenesis, providing testable predictions for future experiments.

Contribution

It introduces a method to accurately fit the four high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis, including renormalisation effects.

Findings

Excellent fit with $ ext{chi}^2 ext{ around } 1.5-2.6$

Predictions of $ heta_{23}=45^ ext{o} ext{±}1^ ext{o}$ and $ ext{delta}=-90^ ext{o} ext{±}5^ ext{o}$

Normal mass ordering with $m_1=0$

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.