${\mathbit{B}}_{\mathbit{s},\mathbit{d}}\ensuremath{\rightarrow}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ in the Standard Model with Reduced Theoretical Uncertainty

$B_{s, d} \to ℓ^{+} ℓ^{-}$ in the Standard Model with Reduced Theoretical Uncertainty

Christoph Bobeth, Martin Gorbahn, Thomas Hermann, Mikołaj Misiak, Emmanuel Stamou, and Matthias Steinhauser

Phys. Rev. Lett. 112, 101801 – Published 11 March 2014

Abstract

We combine our new results for the $O (α_{e m})$ and $O (α_{s}^{2})$ corrections to $B_{s, d} \to ℓ^{+} ℓ^{-}$ , and present updated branching ratio predictions for these decays in the standard model. Inclusion of the new corrections removes major theoretical uncertainties of perturbative origin that have just begun to dominate over the parametric ones. For the recently observed muonic decay of the $B_{s}$ meson, our calculation gives $\bar{B} (B_{s} \to μ^{+} μ^{-}) = (3.65 \pm 0.23) \times 10^{- 9}$ .

Received 9 November 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.101801

Authors & Affiliations

Christoph Bobeth¹, Martin Gorbahn^2,1, Thomas Hermann³, Mikołaj Misiak^4,5, Emmanuel Stamou^1,6, and Matthias Steinhauser³

¹Excellence Cluster Universe and TUM-IAS, Technische Universität München, D-85748 Garching, Germany
²Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom
³Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), D-76128 Karlsruhe, Germany
⁴Institute of Theoretical Physics, University of Warsaw, Hoża 69, PL-00-681 Warsaw, Poland
⁵Theory Division, CERN, CH-1211 Geneva 23, Switzerland
⁶Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 112, Iss. 10 — 14 March 2014

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Physical Review Letters

Bs,d→ℓ+ℓ− in the Standard Model with Reduced Theoretical Uncertainty

Christoph Bobeth, Martin Gorbahn, Thomas Hermann, Mikołaj Misiak, Emmanuel Stamou, and Matthias Steinhauser

Phys. Rev. Lett. 112, 101801 – Published 11 March 2014

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$B_{s, d} \to ℓ^{+} ℓ^{-}$ in the Standard Model with Reduced Theoretical Uncertainty