Goldstone modes and the Higgs condensation beyond one loop

Physics – High Energy Physics – High Energy Physics - Phenomenology

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standard LaTeX, 14 pages, 3 ps figures; a sign error in eq.(26) corrected, numerical results consequently changed somewhat, th

Scientific paper

10.1016/0370-2693(96)00469-8

We study the Higgs condensation $H={\bar t}t$ mechanism in the Top-mode Standard Model at the next-to-leading order in 1/Nc. The calculation includes the effects of the Goldstone fields, but not the effects of the transverse components of the electroweak gauge bosons. The resulting effective theory is parametrized by means of a finite energy cut-off $\L$ at which the condensation is supposed to take place. Demanding that the next-to-leading order contributions not dominate over the leading order ones, we get a rather low bound for the cut-off: $\L = O(1 TeV)$. QCD effects can change the results somewhat, but the basic conclusions remain unchanged. The inclusion of the Goldstone degrees of freedom tends to decrease the bound on $\L$.

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