English

A solution to Higgs naturalness

High Energy Physics - Phenomenology 2011-04-26 v2

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 ϕ4\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.

Keywords

Cite

@article{arxiv.1104.2735,
  title  = {A solution to Higgs naturalness},
  author = {Zheng-Tao Wei and Li-Gong Bian},
  journal= {arXiv preprint arXiv:1104.2735},
  year   = {2011}
}

Comments

9 pages, modified slightly, a note is added, some pointes are made clearer

R2 v1 2026-06-21T17:54:00.371Z