Relations between the on-shell and [ovr MS] renormalization schemes of the standard model and applications to electroweak physics
The author introduces the On Shell (OS) and Modified minimal Subtraction (MS) renormalization schemes of the standard model of electroweak interactions (SM). The author presents the radiative corrections [Delta]r[sub w] and [Delta]r in the MS scheme which link the value of sin[sup 2][theta][sub w](m[sub z]) to the precisely measured parameters [alpha], m[sub z] and G[sub [mu]. [Delta]r[sub w] and [Delta]r are less sensitive to the unknown values of the top and Higgs masses than [Delta]r and the values of sin[sup 2][theta][sub w](m[sub z]) obtained incorporate automatically contributions of O([alpha][sup 2](m[sub t])[sup 2]/m[sub z][sup 2])[sup 2]) arising from the resummation of 1-loop fermionic self-energy terms. Expressions are developed for (Delta]r[sub w] and [Delta]r which incorporate the leading irreducible 2-loop electroweak and perturbative O[alpha][alpha][sub s] contributions when used to evaluate sin[sup 2][theta][sub w](m[sub z]). A simple set of relations between [Delta]r[sub w], [Delta]r, [Delta]r, sin[sup 2][theta][sub w] as they incorporate naturally the higher order corrections relevant in the case of large m[sub t] values. values of m[sub w] and sin[sup 2][theta][sub w](m[sub z]) as a function of the unknown parameters m[sub t] and m[sub H] are used to study the m[sub w]-m[sub z] interdependence. An improved expression is discussed for [Delta]r within the OS scheme. The resulting values for [Delta]r and sin[sup 2][theta][sub w] are in agreement with those extracted using the expressions derived in the MS scheme over the range 90 [<=]m[sub t][<=]250 GeV and 60 GeV [<=]m[sub H][<=]1 TeV. The author computes the left-right and forward-backward asymmetries for e[sup +]e[sup [minus]] annihilation into fermions in the Z[sup 0] resonance region. The top dependence for final bb quarks is included and numerical values for the asymmetries are presented. Comparison with data from LEP shows an excellent agreement with the SM predictions for the asymmetries.
- Research Organization:
- New York Univ., NY (United States)
- OSTI ID:
- 7206847
- Country of Publication:
- United States
- Language:
- English
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