54 5 v 1 2 9 Se p 19 99 Electroweak symmetry breaking in Higgs mechanism with composite operators and solution of naturalness

Introducing a source for a bi-local composite operator, we calculate its effective potential in the renormalization group of Standard Model with no involvement of technicolor. The potential indicates the breaking of electroweak symmetry below a scale M due to a nonzero vacuum expectation value of neutral component for the SU(2)-doublet operator at a scale Λ, fixed by the measured masses of gauge vector bosons. The masses of heaviest fermion generation can be evaluated with a good accuracy: m t (m t) = 165 ± 1 GeV, m b (m b) = 4.18±0.38 GeV and m τ (m τ) = 1.78±0.27 GeV, if we explore the equations for infrared fixed points of calculated Yukawa constants as well as the local higgs approximation for the bi-local source below the cutoff Λ. After a finite renormalization of source, the parameters of effective Higgs field potential can be calculated at the scale of Λ, when the fixed point condition drives the M value to the GUT scale. The estimate of infrared fixed mass for two almost degenerate Higgs fields gives the value m H = 306± 5 GeV, and third scalar is more heavy, m H = 552 ± 9 GeV. Some phenomenological consequences are discussed.