# The Neutrino Option

## TL;DR

This paper proposes that the electroweak symmetry breaking can originate from radiative effects of heavy Majorana neutrinos in the minimal seesaw model, linking the Higgs potential to a high Majorana scale around PeV energies.

## Contribution

It introduces the 'Neutrino Option', where the Higgs potential and electroweak scale are generated radiatively from heavy Majorana neutrinos, offering a novel solution to the hierarchy problem.

## Key findings

- Heavy neutrino masses estimated at 10-500 PeV.
- Electroweak scale arises from radiative effects, not fundamental parameters.
- Hierarchy problem is replaced by the challenge of UV model building.

## Abstract

The minimal seesaw scenario can radiatively generate the Higgs potential to induce electroweak symmetry breaking while supplying an origin of the Higgs vacuum expectation value from an underlying Majorana scale. If the Higgs potential and (derived) electroweak scale have this origin, the heavy $\rm SU(3) \times SU(2) \times U(1)_Y$ singlet states are expected to reside at $m_N \sim 10-500 \, {\rm PeV} $ for couplings $|\omega| \sim 10^{-4.5}-10^{-6}$ between the Majorana sector and the Standard Model. In this framework, the challenge of the electroweak scale hierarchy problem is replaced with a need to generate or accommodate PeV Majorana mass scales in ultraviolet models; the usual hierarchy problem is absent as the electroweak scale is not a fundamental scale.