Supersymmetric $SO(10)$-inspired leptogenesis and a new $N_2$-dominated scenario

TL;DR

This paper explores supersymmetric $SO(10)$-inspired leptogenesis, revealing new parameter constraints, especially at large $ aneta$, and proposing a novel $N_2$-dominated scenario with lower reheat temperature, compatible with gravitino bounds.

Contribution

It introduces a new $N_2$-dominated leptogenesis scenario where $N_1$ is below sphaleron freeze-out temperature, and analyzes the impact of supersymmetry and large $ aneta$ on leptogenesis constraints.

Findings

Successful leptogenesis requires $T_{RH} extgreater 10^{10}$ GeV.

Large $ aneta$ relaxes constraints and allows maximal atmospheric mixing angle.

New scenario with $N_1$ below sphaleron freeze-out temperature reduces $T_{RH}$ to $ extgreater 10^9$ GeV.

Abstract

We study the supersymmetric extension of $SO(10)$-inspired thermal leptogenesis showing the constraints on neutrino parameters and on the reheat temperature $T_{\rm RH}$ that derive from the condition of successful leptogenesis from next-to-lightest right handed (RH) neutrinos ($N_2$) decays and the more stringent ones when independence of the initial conditions (strong thermal leptogenesis) is superimposed. In the latter case, the increase of the lightest right-handed neutrino ($N_1$) decay parameters helps the wash-out of a pre-existing asymmetry and constraints relax compared to the non-supersymmetric case. We find significant changes especially in the case of large $\tan\beta$ values $(\gtrsim 15)$. In particular, for normal ordering, the atmospheric mixing angle can now be also maximal. The lightest (ordinary) neutrino mass is still constrained within the range $10 \lesssim m_1/{\rm meV} \lesssim 30$ (corresponding to $75\lesssim \sum_i m_i/{\rm meV} \lesssim 120$). Inverted ordering is still disfavoured, but an allowed region satisfying strong thermal leptogenesis opens up at large $\tan\beta$ values. We also study in detail the lower bound on $T_{\rm RH}$ finding $T_{\rm RH}\gtrsim 1 \times 10^{10}\,{\rm GeV}$ independently of the initial $N_2$ abundance. Finally, we propose a new $N_2$-dominated scenario where the $N_1$ mass is lower than the sphaleron freeze-out temperature. In this case there is no $N_1$ wash-out and we find $T_{\rm RH} \gtrsim 1\times 10^{9}\,{\rm GeV}$. These results indicate that $SO(10)$-inspired thermal leptogenesis can be made compatible with the upper bound from the gravitino problem, an important result in light of the role often played by supersymmetry in the quest of a realistic model of fermion masses.