Distribution of $\Delta M$ for $B^+\rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} K^+\pi^+\pi^-$ candidates. The fits of the $\psi(2S)$ and $X(3872)$ signals are displayed. The solid blue, dashed red, and dotted green lines represent the total fit, signal component, and background component, respectively.

Distribution of the test statistic $t$ for the simulated experiments with $J^{PC}=2^{-+}$ and $\alpha=\hat\alpha$ (black circles on the left) and with $J^{PC}=1^{++}$ (red triangles on the right). A Gaussian fit to the $2^{-+}$ distribution is overlaid (blue solid line). The value of the test statistic for the data, $t_{\rm data}$, is shown by the solid vertical line.

Distribution of $-\ln[{\cal P(\Omega_i|2^{-+},\hat\alpha)}/{\cal P(\Omega_i|1^{++})}]$ for the data (points with error bars) compared to the distributions for the simulated experiments with $J^{PC}=1^{++}$ (red solid histogram) and with $J^{PC}=2^{-+}$, $\alpha=\hat\alpha$ (blue dashed histogram) after the background subtraction using sWeights. The simulated distributions are normalized to the number of signal candidates observed in the data. Bin contents and uncertainties are divided by bin width because of unequal bin sizes.

Background-subtracted distribution of $\cos\theta_X$ for (top) all candidates and for (bottom) candidates with $|\cos\theta_{\pi\pi}|>0.6$ for the data (points with error bars) compared to the expected distributions for the $J^{PC}=1^{++}$ (red solid histogram) and $J^{PC}=2^{-+}$ and $\alpha=\hat\alpha$ hypotheses (blue dashed histogram). The simulated distributions are normalized to the number of signal candidates observed in the data across the full phase space.

Animated gif made out of all figures.