Three-loop QCD corrections to B_s -> mu^+ mu^-
High Energy Physics - Phenomenology
2014-03-18 v2
Abstract
The decay B_s -> mu^+ mu^- in the Standard Model is generated by the well-known W-box and Z-penguin diagrams that give rise to an effective quark-lepton operator Q_A at low energies. We compute QCD corrections of order alpha_s^2 to its Wilson coefficient C_A. It requires performing three-loop matching between the full and effective theories. Including the new corrections makes C_A more stable with respect to the matching scale mu_0 at which the top-quark mass and alpha_s are renormalized. The corresponding uncertainty in |C_A|^2 gets reduced from around 1.8% to less than 0.2%. Our results are directly applicable to all the B_{s(d)} -> l^+ l^- decay modes.
Keywords
Cite
@article{arxiv.1311.1347,
title = {Three-loop QCD corrections to B_s -> mu^+ mu^-},
author = {Thomas Hermann and Mikolaj Misiak and Matthias Steinhauser},
journal= {arXiv preprint arXiv:1311.1347},
year = {2014}
}
Comments
25 pages, 9 figures; v2: references updated