Hadronic production of $B_s^{(\ast )}$ at TEVATRON and LHC

Abstract

We study the hadronic production of $B_s$ and $B_s^{\ast }$ mesons within the fixed-flavor-number scheme, in which the dominant gluon-gluon fusion mechanism is dealt with by using the complete $\hat{I}{\pm }_s^4$ approach. Main theoretical uncertainties for $B_s$ and $B_s^{\ast }$ production at TEVATRON and LHC are presented. It is found that when $m_s$ increases by steps of 0.1 GeV, the integrated cross section of $B_s^{(\ast )}$ decreases by $80$, when $m_b$ increases by steps of 0.1 GeV, it changes to be $\sim 10$. While the uncertainties caused by the parton distribution function and the factorization scale varies within the region of 1/5 to 1/3. Considering possible kinematic cut on the transverse momentum and the rapidity cut for the detectors at TEVATRON and LHC, we also make estimations on the $B_s$ and $B_s^{\ast }$ production with various kinematic cuts.

13 pages, 5 figures, 5 tables. Reference updated. To be published in Phys.Rev. D