The Higgs boson as a self-similar system: Towards a new solution to the hierarchy problem

TL;DR

This paper introduces a novel approach to the hierarchy problem by modeling the Higgs boson as a self-similar system, which transforms quadratic divergences into logarithmic ones and aligns with experimental data.

Contribution

It proposes a self-similar internal structure for the Higgs boson, providing a new solution to the hierarchy problem and connecting it with Tsallis statistics and experimental observations.

Findings

Quadratic divergence in Higgs mass corrections is replaced by a logarithmic divergence.

Higgs transverse momentum distribution can be described by a self-similar statistical model.

The model aligns with high energy physics experimental data.

Abstract

We propose a new solution to the hierarchy (naturalness) problem, concerning quantum corrections of the Higgs mass. Assuming the Higgs boson as a system with a self-similar internal structure, we calculate its two-point function and find that the quadratic divergence is replaced by a logarithmic one in the mass corrections. It is shown that the partonic-like distribution follows the Tsallis statistics and also high energy physics experimental data for the Higgs transverse momentum distribution can be described by a self-similar statistical model.