Cross sections of inclusive $\psi (2S)$ and $X(3872)$ production from $b$-hadron decays in $pp$ collisions and comparison with ATLAS, CMS, and LHCb data

We study the cross sections for the inclusive production of $\psi (2S)$ and $X(3872)$ hadrons in $pp$ collisions at the LHC at two different center-of-mass energies and compare them with experimental data obtained by the ATLAS, CMS, and LHCb Collaborations.

Figure 1

Double differential cross sections times branching fractions for (a) $\psi (2S)$ (left) and (b) $X(3872)$ (right) nonprompt hadroproduction at $\sqrt{S}=8\mathrm{TeV}$, averaged over $y$ in the region $|y|\le 0.75$, as a function of $p_T$. The solid points with error bars represent the ATLAS data [12]. The solid and the upper and lower dashed histograms represent our NLO GM-VFNS predictions for $\xi =1$, 0.5, 2, respectively.

Figure 2

Double differential cross section times branching fraction for $\psi (2S)$ nonprompt hadroproduction at $\sqrt{S}=7\mathrm{TeV}$, averaged over $y$ in the region $|y|\le 1.2$, as a function of $p_T$. The solid points with error bars represent the CMS data [5]. The solid and the upper and lower dashed histograms represent our NLO GM-VFNS predictions for $\xi =1$, 0.5, 2, respectively.

Figure 3

Differential cross sections times branching fractions for $X(3872)$ nonprompt hadroproduction at $\sqrt{S}=7\mathrm{TeV}$, integrated over $y$ in the region $|y|\le 1.2$, as a function of $p_T$. The solid points with error bars are extracted from the CMS data [11]. The solid and the upper and lower dashed histograms represent our NLO GM-VFNS predictions for $\xi =1$, 0.5, 2, respectively. The theoretical predictions were evaluated using the $R_B$ values in (a) Eq. (3) (left) and (b) Eq. (5) (right).