A solution to the naturalness problem

TL;DR

This paper proposes a novel Fourier space variable change that transforms bosons into fermions and vice versa, providing a symmetry-based solution to the electroweak naturalness problem without requiring supersymmetry.

Contribution

It introduces a new non-supersymmetric symmetry transformation in Fourier space that renders the Lagrangian free of quadratic divergences and explains the absence of partner particles in experiments.

Findings

The modified Lagrangian is invariant under the new symmetry.

Quadratic divergences are eliminated in the scalar sector.

Partner particles are mostly off-shell, explaining their experimental non-detection.

Abstract

We present a solution to the naturalness problem of the electroweak scale based on a change of variable in the Fourier space of non supersymmetric nature that transforms a boson into a fermion and viceversa. This is exemplified for that part of the standard model Lagrangian that contains a Dirac fermion coupled with the Higgs field. The full Lagrangian which contains both the initial particles and the partners obtained through this method is invariant under the symmetry associated to this change of variables and is free of quadratic divergences to the scalar particles present in the Lagrangian. The partners appear mostly as "off-shell" states thus explaining their experimental absence at any particle accelerators.