On the QED Radiator at Order $α^3$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, LaTeX, 3 .eps figures; added references, Comments and a comparison, basic results unchanged; final version to appear

Scientific paper

10.1016/S0370-2693(97)00705-3

The ${\cal O} (\alpha^3)$ leading logarithmic contribution to the QED radiator in the additive form is considered. The effect of the correction on two-fermion physics at LEP1 and LEP2 is evaluated and critically compared with the one of next-to-leading ${\cal O} (\alpha^2)$ corrections. A critical comparison with existing estimates for the LEP1 energy range is also performed. The ${\cal O} (\alpha^3)$ leading logarithmic corrections turn out to be relevant in view of the experimental precision already reached at LEP1 and foreseen at LEP2.

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