Study of $B_c^+ \rightarrow χ_c π^+$ decays
Abstract: A study of $B_c+ \rightarrow \chi_c \pi+$ decays is reported using proton-proton collision data, collected with the LHCb detector at centre-of-mass energies of 7, 8, and 13 TeV, corresponding to an integrated luminosity of 9fb${-1}$. The decay $B_c+ \rightarrow \chi_{c2} \pi+$ is observed for the first time, with a significance exceeding seven standard deviations. The relative branching fraction with respect to the $B_c+ \rightarrow J/\psi \pi+$ decay is measured to be $$ \frac{\mathcal{B}{B_c+ \rightarrow \chi{c2} \pi+}} {\mathcal{B}{B_c+ \rightarrow J/\psi \pi+}} = 0.37 \pm 0.06 \pm 0.02 \pm 0.01 , $$ where the first uncertainty is statistical, the second is systematic, and the third is due to the knowledge of the $\chi_c \rightarrow J/\psi \gamma$ branching fraction. No significant $B_c+ \rightarrow \chi{c1} \pi+$ signal is observed and an upper limit for the relative branching fraction for the $B_c+ \rightarrow \chi_{c1} \pi+$ and $B_c+ \rightarrow \chi_{c2} \pi+$ decays of $$ \frac{\mathcal{B}{B_c+ \rightarrow \chi{c1} \pi+}} {\mathcal{B}{B_c+ \rightarrow \chi{c2} \pi+}} < 0.49 $$ is set at the 90\% confidence level.
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