QCD corrections to the sdZ vertex for arbitrary top quark mass

Gerhard Buchalla, Andrzej J. Buras

Research output: Contribution to journalArticlepeer-review

132 Scopus citations

Abstract

We calculate strong interaction O(αs) corrections to the effective one-loop induced neutral flavour changing vertex sdZ for an arbitrary top quark mass in 't Hooft-Feynman gauge for the W-field. This two-loop calculation is necessary for a meaningful use of a running top quark mass in rare K- and B-decays and consequently increases the precision of theoretical predictions. We find that the uncertainty in the strength of the effective vertex sdZ, due to the dependence of mt on the choice of the renormalization scale μ, is reduced from O(10%) to O(1%) by including the O(αs) corrections. For the choice μ = mt the corrections are less than 5% for 100 ≤ mt ≤ 200 GeV but they are substantially larger for μ = MW. As a by-product we confirm the O(αsGFmt2) correction to the Z → bb partial decay width calculated recently in the large top quark mass limit.

Original languageEnglish
Pages (from-to)285-300
Number of pages16
JournalNuclear Physics, Section B
Volume398
Issue number2
DOIs
StatePublished - 14 Jun 1993

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