Spontaneous radiatively induced breaking of conformal invariance in the Standard Model

TL;DR

This paper proposes a radiative mechanism within the Standard Model where conformal symmetry is spontaneously broken due to infrared instability, leading to finite condensates and a modified Higgs self-coupling.

Contribution

It introduces a new radiative symmetry breaking mechanism involving Higgs and top-quark fields, maintaining the standard electroweak symmetry breaking but altering the Higgs self-coupling.

Findings

Top quark condensate can replace the Higgs tachyon mass.

Infrared instability causes conformal symmetry breaking.

Higgs boson remains elementary with modified self-coupling.

Abstract

A mechanism of radiatively induced breaking of the conformal symmetry in the Standard Model is suggested. The system of one scalar (Higgs) and one fermion (top-quark) fields with Yukawa and $\phi^4$ interactions is considered. The infrared instability of the Coleman-Weinberg effective potential for this system leads to the appearance of a finite renormalization scale and thus to breaking of the conformal symmetry. Finite condensates of both scalar and spinor fields appear. It is shown that the top quark condensate can supersede the tachyon mass of the Higgs field. The Higgs boson is treated as an elementary scalar and the standard mechanism of electroweak symmetry breaking remains unchanged. The difference from the Standard Model appears in the value of the Higgs boson self-coupling constant.