(a) Mass distributions of the selected $ B ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} 3\pi ^+ 2\pi ^- $ candidates. (b) Sum of mass distributions for all backgrounddash-subtracted $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \pi ^+ \pi ^- $ combinations. The total fit function is shown with thick solid (orange) lines and the signal contribution with thin solid (red) lines. The dashed (blue) lines represent the combinatorial background and nondash-resonance component for plots (a) and (b), respectively.

Mass distributions (a) of the selected $ B ^+ \rightarrow \psi {(2\mathrm{S})} K ^+ $ candidates and (b) backgrounddash-subtracted $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \pi ^+ \pi ^- $ combination. The total fit function is shown with thick solid (orange) lines and the signal contribution with thin solid (red) lines. The dashed (blue) lines represent the combinatorial background and nondash-resonance component for plots (a) and (b), respectively.

(a) Mass distribution of the selected $ B ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} 3\pi ^+ 2\pi ^- $ candidates with the additional requirement of every $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \pi ^+ \pi ^- $ combination to be outside of $\pm6 {\mathrm{ Me V /}c^2} $ around the known $\psi {(2\mathrm{S})}$ mass. The total fit function, the $ B ^+$ signal contribution and the combinatorial background are shown with thick solid (orange), thin solid (red) and dashed (blue) lines, respectively. (b) Sum of mass distributions for all possible backgrounddash-subtracted $\pi ^+ \pi ^- $ combinations. The factorisationdash-based model prediction is shown by a solid (red) line, and the expectation from the phasedash-space model is shown by a dashed (blue) line. The total fit function, shown with a dotted (green) line, is an incoherent sum of a relativistic Breitdash-Wigner function with the mean and natural width fixed to the known $\rho ^{0}$ values and a phasedash-space function multiplied by a seconddash-order polynomial.

Distributions of (a) $\pi ^- \pi ^- $, (b) $\pi ^+ \pi ^+ $, (c) $\pi ^+ \pi ^+ \pi ^- $, (d) $\pi ^+ \pi ^- \pi ^- $, (e) $\pi ^+ \pi ^+ \pi ^+ $, (f) $2\pi ^+ 2\pi ^- $, (g) $3\pi ^+ \pi ^- $ and (h) $3\pi ^+ 2\pi ^- $ masses in the $ B ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} 3\pi ^+ 2\pi ^- $ decay. The prediction from the factorisationdash-based model is shown by solid (red) lines, and the expectation from the phasedash-space model is shown by dashed (blue) lines.

Distributions of (a) $\pi ^+ \pi ^- $, (b) $\pi ^+ \pi ^+ $ and (c) $\pi ^+ \pi ^+ \pi ^- $ masses in the $ B ^+ \rightarrow \psi {(2\mathrm{S})} \pi ^+ \pi ^+ \pi ^- $ decay. The predictions from the factorisationdash-based model is shown by solid (red) lines, and the expectation from the phasedash-space model is shown by dashed (blue) lines.

Animated gif made out of all figures.

Signal yields, $N$, of $ B ^+ $ decay channels. Uncertainties are statistical only.

The $\chi^2$ per degree of freedom for the factorisationdash-based and phasedash-space models for the multipion system in nondash-resonant $ B ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} 3\pi ^+ 2\pi ^- $ decays.

The $\chi^2$ per degree of freedom for the factorisationdash-based and phasedash-space models for the multipion system recoiling against $\psi {(2\mathrm{S})} $ in $ B ^+ \rightarrow \psi {(2\mathrm{S})} \pi ^+ \pi ^+ \pi ^- $ decays.

Relative systematic uncertainties (in %) for the ratios of branching fractions. The total uncertainty is the quadratic sum of the individual components.