First- and higher-order noninterference QED radiative corrections to the charge asymmetry at the Z resonance.

A variety of analytical and numerical results on the noninterference QED {ital O}({alpha}) and {ital O}({alpha}{sup 2}) corrections to forward-backward (charge) asymmetry {ital A}{sub FB} are presented. Three definitions of the scattering angle and six definitions of the {ital A}{sub FB} are examined. For loose cutoffs, at the {ital Z} position, the pure {ital O}({alpha}{sup 2}) noninterference correction is found to be {delta}{ital A}{sub FB}{congruent}8{times}10{sup {minus}3} with the theoretical uncertainty below {similar to}1{times}10{sup {minus}3}. All numerical and analytical calculations can be parametrized using a simple semianalytical formula: {ital A}{sub FB} to within {delta}{ital A}{sub FB}{congruent}0.5{times}10{sup {minus}3} on the {ital Z} resonance and {congruent}0.5{times}10{sup {minus}2} off the resonance, {ital M}{sub {ital Z}}{minus}5 GeV{lt} {radical}{ital s} {lt}{ital M}{sub {ital Z}}+5 GeV; the differential distribution {ital d}{sigma}/{ital d} cos{theta} to a relative precision of 5{times}10{sup {minus}3}. These results can be very useful for (i) quantitative parametrization of the exact Monte Carlo results, (ii) discussion of the electroweak corrections, and (iii) experimental data analysis.

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