X(3872) and its production at hadron colliders

We evaluate the production cross sections of X(3872) at the Tevatron and LHC at NLO in $\alpha_s$ within the framework of NRQCD factorization by assuming that the short distance production proceeds dominantly through its $\chi_{c1}'$ component. The outcomes of the fits to the CMS $p_T$ distribution can well account for the CDF data, and are consistent with the value of $k=Z_{c\bar c}\cdot Br(X\to J/\psi\pi^+\pi^-)$ constrained by the B meson decay data. In comparison, the molecule dominant production mechanism for X(3872) is inconsistent with both the $p_T$ distributions and the total cross sections of the CMS and CDF data.