A solution to Higgs naturalness

TL;DR

This paper proposes a novel renormalization group approach to the Higgs naturalness problem, suggesting that the Higgs mass naturally approaches a finite scale at high energies, eliminating the need for fine-tuning.

Contribution

It introduces a new renormalization group method for scalar masses and predicts the Higgs mass behavior at different energy scales, offering a potential solution to naturalness.

Findings

Higgs mass at short-distance is an exponential damping function of energy scale.

Higgs mass approaches the Veltman mass in the ultraviolet limit.

Fine-tuning is rendered unnecessary by the proposed approach.

Abstract

The Standard Model (SM) is usually considered to be unnatural because the scalar Higgs mass receives a quadratic divergent correction. We suggest a new way to solve the naturalness problem from point of view of renormalization group method. Our approach is illustrated through the familiar $\phi^4$ theory. A renormalization group equation for scalar field mass is proposed by introducing a subtraction scale. We give a non-trivial prediction: the Higss mass at short-distance is a damping exponential function of the energy scale. It follows from a characteristic of the SM that the couplings to Higgs are proportional to field masses, in particular the Higgs self-interactions. In the ultraviolent limit, the Higgs mass approaches to a mass called by Veltman mass which is at the order of the electroweak scale. The fine-tuning is not necessary. The Higgs naturalness problem is solved by radiative corrections themselves.