Fine-Tuned Spin-3/2 and the Hierarchy Problem

Ozan Sargın

doi:10.1155/2020/7589025

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.

Highlights

With the discovery of a resonance at the LHC [1, 2] that seems to be rather consistent with the standard model Higgs boson in light of the ongoing assessment of its properties [3,4,5,6,7,8,9,10,11]; the electroweak naturalness [12, 13] is the foremost problem that we should turn our attention to
Since requiring that the standard model (SM) be technically natural brings us to a dead end in terms of guidelines to new physics (NP), we explore an orthogonal possibility here and assume that the electroweak scale is stabilized via a mechanism based on the fine-tuning of a sector which is split from the SM
We study the Higgs mass stabilization problem by a hidden spin-3/2 particle high above the electroweak scale and examine the radiative corrections it induces on the Higgs self-energy in an effective field theory approach using cutoff regularization so as to obtain an estimate of the mass of this new particle by demanding that the total one loop corrections to the Higgs mass should cancel

Summary

Introduction

With the discovery of a resonance at the LHC [1, 2] that seems to be rather consistent with the standard model Higgs boson in light of the ongoing assessment of its properties [3,4,5,6,7,8,9,10,11]; the electroweak naturalness [12, 13] is the foremost problem that we should turn our attention to. The lack of any new physics particle at the TeV scale casts doubts on the relevance of the idea of naturalness and strengthens the view that the standard model (SM) of electroweak and strong interactions may well be the model of physics at Fermi scale [27,28,29,30] This situation does not change the fact that SM is an incomplete, effective theory since, for one thing, it is missing the essential dark matter (DM) candidate [31,32,33,34,35,36,37] and for another, it offers no dynamical principle that generates the masses and couplings of the theory [38,39,40,41]. If ongoing searches at the LHC reveal no particles at the TeV scale combined with the fact that the higher spin particle (spin-3/2) inhabits the GUT scale may strengthen the grand desert notion in the GUTs without TeV scale NP [50]

The Hierarchy Problem

The Model

Summary