On The Dimensional Methods in Rare b Decays

Abstract

Since several years there exists a question whether the dimensional reduction and the usual dimensional regularization give different results for the QCD-improved $b\to s\gamma$ and $b\to s$ $gluon$ decay rates. Here it is demonstrated explicitly that this is not the case: As long as physically meaningful quantities are considered, the results obtained with help of both techniques agree.

14 pages (including 1 page figures)

References in corpus (2)

• The Two-Loop Anomalous Dimension Matrix for $\Delta S=1$ Weak Non-Leptonic Decays I: $\mathcal{O}({\alpha }_s^2)$
• Effective Lagrangian for $b\to s$ Processes with QCD-Corrections

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