The fine-tuning problem revisited in the light of the Taylor-Lagrange renormalization scheme

TL;DR

This paper re-examines the Higgs mass corrections in the Standard Model using the Taylor-Lagrange renormalization scheme, showing that the fine-tuning problem is a regularization artefact rather than a physical issue.

Contribution

It demonstrates that the Taylor-Lagrange scheme yields finite corrections and challenges the conventional view of the fine-tuning problem as a sign of new physics.

Findings

Radiative corrections are finite and scale-dependent.

The fine-tuning problem is an artefact of regularization schemes.

No need for new physics to address the Higgs mass issue.

Abstract

We re-analyse the perturbative radiative corrections to the Higgs mass within the Standard Model in the light of the Taylor-Lagrange renormalization scheme. This scheme naturally leads to completely finite corrections, depending on an arbitrary dimensionless scale. This formulation avoids very large individual corrections to the Higgs mass. In other words, it is a confirmation that the so-called fine-tuning problem in the Standard Model is just an artefact of the regularization scheme and should not lead to any physical interpretation in terms of the energy scale at which new physics should show up, nor to the appearance of a new symmetry. We analyse the characteristic physical scales relevant for the description of these radiative corrections.