Non--decoupling, triviality and the $ρ$ parameter

Details Non--decoupling, triviality and the $ρ$ parameter Non--decoupling, triviality and the $ρ$ parameter

1992-07-02

arxiv.org/abs/hep-ph/9207203v2

Z.Phys. C61 (1994) 303-312

Physics

High Energy Physics

High Energy Physics - Phenomenology

16pp, Figures NOT included, harvmac, minor modifications incl. wording, refs., UCLA/92/TEP/23,OHSTPY-HEP-T-92-008

Scientific paper

10.1007/BF01413109

The dependence of the $\rho$ parameter on the mass of the Higgs scalar and the top quark is computed non--perturbatively using the $1/N_F$ expansion in the standard model. We find an explicit expression for the $\rho$ parameter that requires the presence of a physical cutoff. This should come as no surprise since the theory is presumably trivial. By taking this cutoff into account, we find that the $\rho$ parameter can take values only within a limited range and has finite ambiguities that are suppressed by inverse powers of the cutoff scale, the so called ``scaling--violations". We find that large deviations from the perturbative results are possible, but only when the cutoff effects are also large.

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