# Natural Seesaw and Leptogenesis from Hybrid of High-Scale Type I and TeV-Scale Inverse

## TL;DR

This paper introduces a hybrid seesaw model combining high-scale and TeV-scale mechanisms to naturally generate small neutrino masses and enable successful leptogenesis, addressing limitations of previous inverse seesaw models.

## Contribution

The paper develops and elaborates a hybrid seesaw framework that integrates high-scale and TeV-scale physics, providing analytical tools and exploring a broad parameter space for neutrino mass and leptogenesis.

## Key findings

- Hybrid seesaw achieves small neutrino masses naturally.
- Successful leptogenesis is possible within the hybrid framework.
- The model encompasses a wide range of singlet mass scales from 10^6 to 10^16 GeV.

## Abstract

We develop an extension of the basic inverse seesaw model which addresses simultaneously two of its drawbacks, namely, the lack of explanation of the tiny Majorana mass term $\mu$ for the TeV-scale singlet fermions and the difficulty in achieving successful leptogenesis. Firstly, we investigate systematically leptogenesis within the inverse (and the related linear) seesaw models and show that a successful scenario requires either small Yukawa couplings, implying loss of experimental signals, and/or quasi-degeneracy among singlets mass of different generations, suggesting extra structure must be invoked. Then we move to the analysis of our new framework, which we refer to as hybrid seesaw. This combines the TeV degrees of freedom of the inverse seesaw with those of a high-scale ($M_N\gg$ TeV) seesaw module in such a way as to retain the main features of both pictures: naturally small neutrino masses, successful leptogenesis, and accessible experimental signatures. We show how the required structure can arise from a more fundamental theory with a gauge symmetry or from warped extra dimensions/composite Higgs. We provide a detailed derivation of all the analytical formulae necessary to analyze leptogenesis in this new framework, and discuss the entire gamut of possibilities our scenario encompasses: including scenarios with singlet masses in the enlarged range $M_N \sim 10^6 - 10^{16}$ GeV. The idea of hybrid seesaw was proposed by us in arXiv:1804.06847; here, we substantially elaborate upon and extend earlier results.