Higgs' mass around 115 GeV would testify for composite Higgs

Abstract

Theory with $SU(2)\times U(1)$ gauge invariant electroweak Lagrangian describing standard interaction of massless quark doublet without elementary scalar Higgs sector is considered. We show in the main order of $1/N_c$ expansion, that there exists a solution, which breaks initial symmetry and is accompanied by an appearance of zero mass composite scalar doublet. The electroweak loop corrections shift its mass to a tachyon value and thus the scalar serves as a substitute for usual elementary Higgs. The $t$-quark mass also arise. The problem of adjusting its observable mass leads to prediction of triple gauge constant $\lambda_V \simeq -0.034$ without contradiction with experimental data. The mass of the surviving composite Higgs scalar is predicted to be $M_H = 117 \pm 7 GeV$, that agrees with recent indications of $M_H \simeq 115 GeV$. The resulting theory contains realistic $W, Z, t$ masses, composite massive Higgs and massless other particles. Parameters used are cut-off $\Lambda \simeq 3500 GeV$, weak gauge constant $g$ and mixing angle $\theta_W$.