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

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

2003-06-10

arxiv.org/abs/hep-ph/0306079v2

Nucl.Phys.B673:238-262,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 2 figures; a few typos fixed, version to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2003.09.024

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.

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