Author:
Hermann Thomas,Misiak Mikolaj,Steinhauser Matthias
Abstract
Abstract
The decay B
s
→ μ
+
μ
− 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 μ
0 at which the top-quark mass and α
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference45 articles.
1. LHCb collaboration, First evidence for the decay
$ B_s^0 $ → μ
+
μ
−, Phys. Rev. Lett.
110 (2013) 021801 [arXiv:1211.2674] [INSPIRE].
2. LHCb collaboration, Measurement of the
$ B_s^0 $ → μ
+
μ
−
branching fraction and search for B
0 → μ
+
μ
−
decays at the LHCb experiment, Phys. Rev. Lett.
111 (2013) 101805 [arXiv:1307.5024] [INSPIRE].
3. CMS collaboration, Measurement of the B
s
→ μ
+
μ
−
branching fraction and search for B
0 → μ
+
μ
−
with the CMS experiment, Phys. Rev. Lett.
111 (2013) 101804 [arXiv:1307.5025] [INSPIRE].
4. CMS and LHCb collaborations, Combination of results on the rare decays
$ B_{(s)}^0 $ → μ
+
μ
−
from the CMS and LHCb experiments, CMS-PAS-BPH-13-007, CERN, Geneva Switzerland (2013) [LHCb-CONF-2013-012].
5. D0 collaboration, V.M. Abazov et al., Search for the rare decay
$ B_s^0 $ → μ
+
μ
−, Phys. Lett.
B 693 (2010) 539 [arXiv:1006.3469] [INSPIRE].
Cited by
78 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献