Anomalous dimension matrix for radiative and rare semileptonic B decays up to three loops

By Paolo Gambino, M. Gorbahn, U. Haisch. 2003

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Abstract We compute the complete O ( α s 2 ) anomalous dimension matrix relevant for the b → sγ , b → sg and b → 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 ( α s 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/eea53c3863908a9af2d4e448cb72b02c9cbd817c

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