Decay diagram for $B_s^0\to J/\psi (f_0{\rm or }\phi)$ decays.

The $\mu^+\mu^-$ invariant mass for candidates satisfying the trigger and analysis requirements and having $t_z>0.5$ ps. The data points are shown as circles; the error bars are smaller than the circle radii. The dashed line shows the Crystal Ball signal function \cite{CB}, the dotted line the background and the solid line the sum.

The invariant mass of $J/\psi K^+K^-$ combinations when the $K^+K^-$ pair is required to be with $\pm$20 MeV of the $\phi$ mass. The data have been fit with a Gaussian signal function whose mass and width are allowed to float and linear background function shown as a dashed line. The solid curve shows the sum.

(a) The invariant mass of $J/\psi\pi^+\pi^-$ combinations when the $\pi^+\pi^-$ pair is required to be with $\pm$90 MeV of the $f_0(980)$ mass. The data have been fit with a signal Gaussian and several background functions. The thin (red) solid curve shows the signal, the long-dashed (brown) curve the combinatorial background, the dashed (green) curve the $B^+\to J/\psi K^+(\pi^+) $ background, the dotted (blue) curve the ${B}^0\to J/\psi K^{*0}$ background, the dash-dot curve (purple) the ${B}^0\to J/\psi \pi^+\pi^-$ background, the barely visible dotted curve (black) the sum of $B_s^0\to J/\psi \eta'$ and $J/\psi\phi$ backgrounds, and the thick-solid (black) curve the total. (b) The same as above but for like-sign di-pion combinations.

Angular distributions of events within $\pm$30 MeV of the ${B}_s^0$ mass and $\pm$90 MeV of the $f_0$ mass after like-sign background subtraction. (a) The cosine of the angle of the $\mu^+$ with respect to the ${B}_s^0$ direction in the $J/\psi$ rest frame for ${B}_s^0\to J/\psi \pi^+\pi^-$ decays. The data are fit with a function $f(\cos\theta_{J/\psi})=1-\alpha\cos^2\theta_{J/\psi}$. (b) The cosine of the angle of the $\pi^+$ with respect to the ${B}_s^0$ direction in the di-pion rest frame for ${B}_s^0\to J/\psi\pi^+\pi^-$ decays. The data are fit with a flat line.

The invariant mass of $\pi^+\pi^-$ combinations when the $J/\psi\pi^+\pi^-$ is required to be within $\pm$30 MeV of the ${B}_s^0$ mass. The dashed curve is the like-sign background that is taken from the data both in shape and absolute normalization. The dotted curve is the result of the fit using Eq. 2 and the solid curve the total.

Animated gif made out of all figures.

Relative systematic uncertainties on $R_{f_0/\phi}$ (%). Both negative and positive changes resulting from the parameter variations are indicated in separate columns.