Chiral Yukawa models in the planar limit

الأصل · EN

We consider the most general renormalizable chiral Yukawa model with SU(3) color replaced by SU(Nc), SU(2) L replaced by SU(Nw) and U(1)Y replaced by U(1)ⁿʷ ⁻¹ in the limit Nc →∞, Nw →∞ with the ratio ρ=√NwNc ≠ 0,∞ held fixed. Since for Nw ≥ 3 only one renormalizable Yukawa coupling per family exists and there is no mixing between families the limit is appropriate for the description of the effects of a heavy top quark when all the other fermions are taken to be massless. A rough estimate of the triviality bound on the Yukawa coupling is equivalent to mₜ ≤ 1 TeV.