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arXiv · hep-ph/0306079

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

Paolo Gambino·Martin Gorbahn·Ulrich Haisch
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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.

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Paolo Gambino, Martin Gorbahn, Ulrich Haisch. 2003-09-09. Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops. https://doi.org/10.1016/j.nuclphysb.2003.09.024

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