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- Title
$$B^*_{s,d} \rightarrow \mu ^+ \mu ^-$$ and its impact on $$B_{s,d} \rightarrow \mu ^+ \mu ^-$$.
- Authors
Xu, Guang-Zhi; Qiu, Yue; Shen, Cheng-Ping; Zhang, Yu-Jie
- Abstract
This study investigates $$B^*_{s,d}\rightarrow \mu ^+\mu ^-$$ in the dimuon distributions and the hadronic contribution $$B_{s,d}\rightarrow B^*_{s,d}\gamma \rightarrow \mu ^+\mu ^-$$ . The $$\mu ^+\mu ^-$$ decay widths of the vector mesons $$B^*_{s,d}$$ are approximately a factor of 700 larger than the corresponding scalar mesons $$B_{s,d}$$ . The ratio of the branching fractions obtained, $$\frac{Br({B_{s,d}^*\rightarrow \mu ^+\mu ^-})}{{Br({B_{s,d}\rightarrow \mu ^+\mu ^-})}}$$ , is approximately $$\frac{0.3\times \mathrm{eV}}{{\Gamma (B^*_{s,d}\rightarrow B_{s,d}\gamma )}}$$ . The hadronic contribution $$B_{s,d}\rightarrow B^*_{s,d}\gamma \rightarrow \mu ^+\mu ^-$$ is also estimated. The relative increase in the $$B_{s,d}\rightarrow \mu ^+\mu ^-$$ amplitude is approximately $$(0.01\pm 0.006) \sqrt{\frac{{\Gamma (B^*_{s,d}\rightarrow B_{s,d} \gamma )}}{{100~\mathrm{eV}}}}$$ . If we select $$\Gamma (B^*_{s,d}\rightarrow B_{s,d}\gamma )=2~$$ eV, then the branching fractions of the vector mesons to the lepton pair are $$5.3\times 10^{-10}$$ and $$1.6\times 10^{-11}$$ for $$B^*_{s}$$ and $$B^*_{d}$$ , respectively. If we select $$\Gamma (B^*_{s,d}\rightarrow B_{s,d}\gamma )=200~$$ eV, then the updated branching fractions of the scalar mesons to the muon pair are $$(3.78\,\pm \,0.25)\times 10^{-9}$$ and $$(1.09\,\pm \,0.09)\times 10^{-10}$$ for $$B_{s}$$ and $$B_{d}$$ , respectively. If we select the recent predicted M1 widths $$\Gamma (B^*_{s,d}\rightarrow B_{s,d}\gamma )=313, 1230$$ eV (), then the updated branching fractions are $$(3.8\,\pm \,0.3)\times 10^{-9}$$ and $$(1.2\,\pm \,0.1)\times 10^{-10}$$ for $$B_{s}\rightarrow \mu ^+\mu ^-$$ and $$B_{d}\rightarrow \mu ^+\mu ^-$$ , respectively. Further studies on $$B^*_{s,d}$$ , including those on dielectron decay and two-body decay with $$J/\psi $$ , should be conducted.
- Subjects
HADRONIC atoms; VECTOR mesons; TWO-body problem (Physics); RADIOACTIVE decay; SCALAR mesons
- Publication
European Physical Journal C -- Particles & Fields, 2016, Vol 76, Issue 11, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-016-4423-z