Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]

Abstract

We calculate two-loop matching conditions for all the operators that are relevant to B -> X_s l^+ l^- decay in the Standard Model. In effect, we are able to remove the +_16% uncertainty in the decay spectrum, which was mainly due to the renormalization-scale dependence of the top-quark mass. We find 1.46 * 10^-6 for the branching ratio integrated in the domain 0.05 < m_{l^+l^-}^2/m_b^2 < 0.25, for l= e or mu. There remains around 13% perturbative uncertainty in this quantity, while the non-perturbative effects are expected to be smaller.

38 pages, including 8 figures, uses graphicx

References in corpus (2)

• The Rare Decays $K\to \pi \nu \bar{\nu }$, $B\to X\nu \bar{\nu }$ and $B\to l^{+}{l}^{-}$ -- An Update
• QCD corrections to FCNC decays mediated by Z-penguins and W-boxes

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