Some Features of the Hadronic $B_c^{(\ast )}$-meson Production at Large $p_T$

Abstract

Calculations of the hadronic $B_c^{(\ast )}$-mesons production performed in the framework of the perturbative QCD taking into account $O({\alpha }_s^4)$ Feynmann diagrams are presented. A comparison of the exact calculations with those based on the fragmentation model of $\bar{b}\to B_c^{(\ast )}+X$ shows the large discrepancy between them. The exact calculations of the $B_c^{(\ast )}$-mesons production cross-sections as the function of $p_T$ at the energy of the FNAL Tevatron ($\sqrt{s}=1.8$ TeV) are given. The predicted ratio of the vector to the pseudoscalar state cross-sections is about $R\sim 3$ instead of $R\sim 1.4$ for the fragmentation model.

Comments: 4 pages, REVTEX file, 5 figures (uuencoded compressed tar-file)