Regularization at the next-to-leading order in the top mode standard model without gauge bosons

Cvetic, G

Abstract

We study Higgs condensation in the top-mode standard model at the next-to-leading (NTL) order in 1/Nc, by calculating the effective potential as a function of a hard mass term of the top quark. We include the effects of the top and bottom quarks, all the scalars, and the leading QCD effects, but not the effects of the transverse components of the electroweak gauge bosons. The model contains finite UV energy cutoff parameters Lf, Lb for the fermionic and the bosonic momenta. Condensation takes place at energies L ~ Lf ~ Lb. We describe how to regularize the integrals over the fermionic momenta in a way free of momentum branching ambiguities and treat the terms of 1/Nc expansion mutually consistently. We use three different cutoff procedures. We also discuss how to ensure the validity of Goldstone theorem. Demanding that the NTL contributions not ``wash out'' the leading ones, we obtain for the cutoffs: L = O(1 TeV), a result largely independent of the regularization procedure.

Más información

Título de la Revista: Reviews of Modern Physics
Volumen: 255
Número: 2
Editorial: APS
Fecha de publicación: 1997
Página de inicio: 165
Página final: 203
Idioma: English
Notas: INSPIRE-HEP