Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops

Preprint

9 September 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0306079

Abstract

We compute the complete O(alphas^2) anomalous dimension matrix relevant for the b to s gamma, b to s gluon and b to s l+l- transitions in the standard model and some of its extensions. For radiative decays we confirm the results of Misiak and Munz, and of Chetyrkin, Misiak and Munz. The O(alphas^2) mixing of four-quark into semileptonic operators is instead a new result and represents one of the last missing ingredients of the next-to-next-to-leading-order analysis of rare semileptonic B meson decays.

Keywords

ANOMALOUS DIMENSION MATRIX
RARE SEMILEPTONIC
DIMENSION MATRIX
MISIAK AND MUNZ
STANDARD MODEL
SEMILEPTONIC
DECAYS

All Related Versions

Version 1, 2003-06-10, ArXiv
Version 2, 2003-09-09, ArXiv
Published version: Nuclear Physics B, 673 (1-2), 238.

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