Spontaneous radiatively induced breaking of conformal invariance in the Standard Model

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.