Study of the $B^{0}\rightarrow\chi_{c1,2} K^{*0}$ decays at the LHCb experiment

In this research, the ratios of the branching fractions of the $B^{0}\rightarrow\chi_{c1} K^{*0}$, $B^{0}\rightarrow\chi_{c2} K^{*0}$ and $B^{0}\rightarrow J/\psi K^{*0}$ decays are measured: \begin{equation*} \begin{array}{lll} \dfrac{{\cal B}(B^{0}\rightarrow \chi_{c1} K^{*0})}{{\cal B}(B^{0}\rightarrow J/\psi K^{*0})} &=& (19.8~\pm1.1~(stat)\pm1.2~(syst)\pm0.9\,({\cal B}_{\chi_{c1}}))\times 10^{-2}, \nonumber \\ \dfrac{{\cal B}(B^{0}\rightarrow \chi_{c2} K^{*0})}{{\cal B}(B^{0}\rightarrow \chi_{c1} K^{*0})} &=& (17.1~\pm5.0~(stat)\pm1.7~(syst)\pm1.1\,(R_{\chi}))\times 10^{-2}, \nonumber \\ \end{array} \end{equation*} where the first uncertainty is statistical, the second is systematic, and the first is related to uncertainty in knowledge of the branching fractions of the $\chi_{c1,2}\rightarrow J/\psi\gamma$ decays. The analysis is based on a data sample of proton-proton collisions, corresponding to an integrated luminosity of 1 fb$^{-1}$ , collected with the LHCb detector, at centre-of-mass energy of 7 TeV.