Two-loop electroweak top corrections: are they under control?

Abstract

The assumption that two-loop top corrections are well approximated by the O(Gmu2 mt4) contribution is investigated. It is shown that in the case of the ratio neutral-to-charged current amplitudes at zero momentum transfer the O(Gmu2 mt2 MZ2) terms are numerically comparable to the mt4 contribution for realistic values of the top mass. An estimate of the theoretical error due to unknown two-loop top effect is presented for a few observables of LEP interest.

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