Nuclear medium effects on B$^+$ meson production are studied using the binary-collision scaled cross section ratio between events of different charged-particle multiplicities from proton-lead collisions. Data, collected by the CMS experiment in 2016 at a nucleon-nucleon center-of-mass energy of $\sqrt{s_\mathrm{NN}}$ = 8.16 TeV, corresponding to an integrated luminosity of 175 nb$^{-1}$, were used. The scaling factors in the ratio are determined using a novel approach based on the Z $\to$$\mu^+\mu^-$ cross sections measured in the same events. The scaled ratio for B$^+$ is consistent with unity for all event multiplicities, putting stringent constraints on nuclear modification for heavy flavor.
$\mathrm{B}^+$ differential cross section and FONLL calculations, scaled by the number of binary collisions, vs $p_{\mathrm{T}}$. Global uncertainty (not included in the plot) is 4.7%, which comprises of the uncertainties in the integrated luminosity measurement and the $\mathrm{B}^+$ meson branching fraction.
$\mathrm{B}^+$ differential cross section in $p_{\mathrm{T}}$ bins divided into classes of multiplicity. For better visibility, data points are scaled by a factor of 2 (blue), 4 (magenta), or 8 (red). Vertical bars represent total uncertainties.
The $R_{\mathrm{HL}}$ for $\mathrm{B}^+$ in $p_{\mathrm{T}}$ bins for the highest and lowest multiplicity classes. The error bars correspond to the statistical uncertainty, and the boxes represent the sum in quadrature of systematic uncertainties.
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