Distributions of corrected mass $ m_{\mathrm{cor}} $ and $m( { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \mu^-)$ for (top) $7\text{ Te V} $ and (bottom) $13\text{ Te V} $ data, where (a) and (c) are data and (b) and (d) simulated signal. The (red) dashed line indicates the $m( { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \mu^-)>4.5\text{ Ge V} $ requirement.

Fitted $ m_{\mathrm{cor}} $ distributions in (a) $7\text{ Te V} $ and (b) $13\text{ Te V} $ samples. The signal and the backgrounds are shown as the dark (orange) and lighter (gray) areas. The dashed (cyan) curves show the $ B _ c ^- \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \tau ^- \nu _\tau $ components, while the dotted (blue) curves show the $ B _ c ^- \rightarrow \chi_{c0,1,2}\mu ^- \overline{\nu} $ components. The $ B _ c ^- \rightarrow \psi {(2S)} \mu ^- \overline{\nu} $ contribution is also in the fit but is too small to be seen. The total fit is shown by the solid (red) curve.

The total efficiency for $ B _ c ^- \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \mu ^- \overline{\nu} $, as a function of $ p_{\mathrm{T}} ( B _ c ^- )$ in different intervals of $\eta$ in (a) 7 TeV and (b) 13 TeV samples.

Invariant-mass distributions of (a) $K^-\pi^+$ and (b) $K^-\pi^+\pi^+$ for 7 $\text{ Te V}$ , and (c) and (d) for 13 $\text{ Te V}$ collisions. The data are shown by solid points. The (red) dashed lines represent the signal components. The combinatorial backgrounds are shown as the dotted (magenta) line, and the solid (blue) line shows the total fit.

Total efficiencies for the (a) $ D ^0 X \mu^-\overline{\nu}$ and (b) $ D ^+ X \mu^-\overline{\nu}$ signals in 7 $\text{ Te V}$ and (c) and (d) in 13 $\text{ Te V}$ samples as functions of $ p_{\mathrm{T}}$ in $\eta$ intervals.

The $k$-factor corrections as a function of invariant mass of (a) $m( { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \mu^-)$, (b) $m( D ^0 \mu^-)$, and (c) $m( D ^+ \mu^-)$ for the 13 $\text{ Te V}$ simulation samples. (The 7 $\text{ Te V}$ results are almost identical.) The points (magenta) are the average $k$-factor corrections, and the (green) dashed line shows a second-order polynomial fit to the average data.

Ratio of production fractions after the $k$-factor correction as a function of (a) $ p_{\mathrm{T}} (H_b)$ and (c) $\eta$ in 7 $\text{ Te V}$ data and (b) and (d) in 13 $\text{ Te V}$ data. The smaller error bars show the statistical uncertainties and the larger ones include the statistical and systematic uncertainties. The horizontal (green) dashed-lines show the average values.

Ratio of the $ B _ c ^- $ production fractions at 13 TeV to 7 TeV as a function of (a) $ p_{\mathrm{T}} (H_b)$ and (b) $\eta$. The smaller error bars show the statistical uncertainties and the larger ones include the statistical and systematic uncertainties added in quadrature.

Animated gif made out of all figures.

Charm and charmonium branching fractions for the decay modes used in this analysis.

Branching fractions predictions (%). The $ B _ c ^- $ lifetime is taken as 0.507 ps \cite{PDG2018}. The value for the semileptonic decays of the $ B _ c ^-$ meson, ${\cal{B}}^c_{\rm sl}$, is derived by summing the $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \mu^-\overline{\nu}$ and $\eta_c\mu^-\overline{\nu}$ individual predictions with the average predictions of 0.1% for $\psi(2S)\mu^-\overline{\nu}$, the sum of $\chi_{c0,1,2}\mu^-\overline{\nu}$ as 0.6%, and 0.3% for $h_c\mu^-\nu$. In the one case where $\eta_c\mu^-\overline{\nu}$ was not predicted averages from other measurements are used.

Yields of $B\rightarrow DX\mu^-\overline{\nu}$ decays.

Results of the fits to Eq. 5

The $ B _ c ^- - B _ c ^+ $ production asymmetry ($\times10^{-2}$) as a function of $ p_{\mathrm{T}} (H_b)$ and $\eta$ at 7 TeV and 13 TeV.

Summary of the relative systematic uncertainties for $f_c/(f_u+f_d)$(%) and the absolute production asymmetries $a_{\rm prod}$(%). For local uncertainties, the ranges correspond to the minimum and maximum uncertainties evaluated in the $ p_{\mathrm{T}} (H_b)$ and $\eta$ ranges.