# Fine-tuned Spin-3/2 and the Hierarchy Problem

## TL;DR

This paper explores using a spin-3/2 particle to cancel quadratic divergences in the Higgs mass, proposing a novel approach to address the hierarchy problem with implications at the GUT scale.

## Contribution

It introduces a new method employing a spin-3/2 particle to nullify divergences, extending previous scalar-based solutions to the hierarchy problem.

## Key findings

- Spin-3/2 particle effectively cancels quadratic divergences.
- Predicted mass of the spin-3/2 particle is around the GUT scale.
- Provides a new perspective on hierarchy problem solutions.

## Abstract

In the past, Kundu et al. and Chakraborty et al. used extra scalar fields to cancel the quadratic divergences in the Higgs mass squared and they determined the mass of the required scalar field. In this work, a spin-3/2 particle has been used in the same manner to nullify the power-law divergences and it is determined that the mass of the spin-3/2 particle resides in the ball park of the GUT scale.