Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
Abstract
We present in detail the calculation of the virtual O(alpha_s) corrections to the inclusive semi-leptonic rare decay b --> s l+ l-. We also include those O(alpha_s) bremsstrahlung contributions which cancel the infrared and mass singularities showing up in the virtual corrections. In order to avoid large resonant contributions, we restrict the invariant mass squared s of the lepton pair to the range 0.05 < s/mb^2 < 0.25. The analytic results are represented as expansions in the small parameters s/mb^2, z = mc^2/mb^2 and s/(4 mc^2). The new contributions drastically reduce the renormalization scale dependence of the decay spectrum. For the corresponding branching ratio (restricted to the above s-range) the renormalization scale uncertainty gets reduced from +/-13% to +/-6.5%.
Keywords
Cite
@article{arxiv.hep-ph/0109140,
title = {Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model},
author = {H. H. Asatryan and H. M. Asatrian and C. Greub and M. Walker},
journal= {arXiv preprint arXiv:hep-ph/0109140},
year = {2014}
}
Comments
41 pages including 9 postscript figures; in version 2 some typos and inconsistent notation corrected