Mass distributions for selected (top left) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $, (top right) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } K ^+ K ^- \pi ^+ \pi ^+ \pi ^- $ and (bottom) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 4\pi ^+ 3\pi ^- $ candidates. Projections of the fit, described in the text, are overlaid.

(left) Distribution of the $ { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $ mass for selected $ B _ c ^+ \rightarrow \psi {(2{\mathrm{S}})} \pi ^+ \pi ^+ \pi ^- $ candidates with the $ { J \mskip -3mu/\mskip -2mu\psi } \pi ^+ \pi ^- $ mass between 3.679 and 3.692 $\text{ Ge V /}c^2$ . (right) Distribution of the $ { J \mskip -3mu/\mskip -2mu\psi } \pi ^+ \pi ^- $ mass for selected $ B _ c ^+ \rightarrow \psi {(2{\mathrm{S}})} \pi ^+ \pi ^+ \pi ^- $ candidates with the $ { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $ mass between 6.245 and 6.301 $\text{ Ge V /}c^2$ . Projections of the fit, described in the text, are overlaid.

Mass spectra for the lightdash-hadron system for the (top left) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $, (top right) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } K ^+ K ^- \pi ^+ \pi ^+ \pi ^- $ and (bottom) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 4\pi ^+ 3\pi ^- $ decays. Expectations from the BLL model are overlaid.

Mass spectra for the $\pi ^+ \pi ^+ \pi ^- $ combinations from the (left) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $ (6 entries per $ B _ c ^+$ candidate) and (right) $ B _ c ^+ \rightarrow \psi {(2{\mathrm{S}})} \pi ^+ \pi ^+ \pi ^- $ decays. The expectations from the BLL model are overlaid.

Background-subtracted $\pi ^+ \pi ^- $ mass distributions from (left) $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } 3\pi ^+ 2\pi ^- $ (6 entries per $ B _ c ^+$ candidate) and (right) $ B _ c ^+ \rightarrow \psi {(2{\mathrm{S}})} \pi ^+ \pi ^+ \pi ^- $ (2 entries per $ B _ c ^+$ candidate) decays. The results of the fits described in the text are overlaid.

Background-subtracted (left) $ K ^{\pm}\pi ^{\mp}$ (3 entries per $ B _ c ^+$ candidate) mass and (right) lowdash-mass part of the $ K ^+ K ^- $ mass distribution from the $ B _ c ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } K ^+ K ^- \pi ^+ \pi ^+ \pi ^- $ decays. The results of the fit described in the text are overlaid on the left plot, while expectations from the BLL model are overlaid on the right plot.

Animated gif made out of all figures.

Signal yields obtained from the simultaneous unbinned extended maximumdash-likelihood fit. The uncertainties are statistical only. The last column shows the statistical significance estimated using Wilks' theorem, in units of standard deviations.

Ranges of relative systematic uncertainties for the various ratios of branching fractions, $\mathcal{R}^{ X }_{ Y }$. The total systematic uncertainty is the quadratic sum of individual contributions.

Off-diagonal correlation coefficients (in percent) for statistical and systematic uncertainties of the measured ratios $\mathcal{R}^{ X }_{ Y }$.