Invariant mass distribution of $\psi {(2S)}$ candidates in the kinematic region $5< p_{\rm T} <7 {\mathrm{ Ge V /}c} $ and $2.5<y<3.0$. The solid blue line is the total fit function, the dot-dashed green line represents the linear background function and the red dashed line is the combination of the two CB functions.

Detection efficiency in arbitrary units as a function of $\cos \theta$ and $\phi$ in the helicity frame for $\psi {(2S)}$ mesons in the range $5< p_{\rm T} <7 {\mathrm{ Ge V /}c} $ and $2.5<y<3.0$.

(Left) Distributions of $\cos\theta$ in the helicity frame for $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu}$ mesons from $ B ^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} K^+$ decays in data (filled triangles) and in the simulated sample (open circles) and (right) their ratio after the weighting based on the $ B ^+ $ and $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu}$ kinematic properties.

Polarisation parameters for prompt $\psi {(2S)}$ mesons as a function of $p_{\rm T}$ , in five rapidity intervals, (top left) $\lambda_\theta $ and (bottom) $\lambda_{\mathrm{inv}} $, measured in the helicity frame, and (top right) $\lambda_\theta $ in the Collins-Soper frame. The uncertainties on data points are the sum in quadrature of statistical and systematic uncertainties. The horizontal bars represent the width of the $p_{\rm T}$ bins for the $\psi {(2S)}$ meson. The data points for each rapidity interval are displaced horizontally to improve visibility.

Polarisation parameter $\lambda_\theta$ of the prompt $\psi {(2S)}$ meson in the helicity frame as a function of $p_{\rm T}$ , in the rapidity range $2.5<y<4$. The predictions of NLO CSM [39] and three NLO NRQCD models (1) [39], (2) [40] and (3) [41] are also shown. Uncertainties on data are the sum in quadrature of the statistical and systematic uncertainties. The horizontal bars represent the width of $p_{\rm T}$ bins for the $\psi {(2S)}$ meson.

Animated gif made out of all figures.

Sources of systematic uncertainties on the polarisation parameter $\lambda_\theta$ in the helicity and Collins-Soper frames. For each type of uncertainty, the average and the range over all $\psi {(2S)}$ kinematic bins are shown.

Measured prompt $\psi {(2S)}$ polarisation parameters $\lambda_\theta$ , $\lambda_{\theta\phi}$ , $\lambda_{\phi}$ and $\lambda_{\mathrm{inv}}$ in bins of $p_{\rm T}$ and $y$ in the helicity frame. The first uncertainty is statistical and the is second systematic.

Measured prompt $\psi {(2S)}$ polarisation parameters $\lambda_\theta$ , $\lambda_{\theta\phi}$ , $\lambda_{\phi}$ and $\lambda_{\mathrm{inv}}$ in bins of $p_{\rm T}$ and $y$ in the Collins-Soper frame. The first uncertainty is statistical and the second is systematic.