Next-to-leading order QCD corrections to $bg \to t W^-$ at the CERN Large Hadron Collider

Abstract

The next-to-leading order QCD corrections to the Standard Model process of single top production, $bg \to t W^-$, for the CERN Large Hadron Collider with $\sqrt{s}=14$ TeV have been calculated. For renormalization and factorization scales $μ=μ_0$ ($μ_0=m_t+m_W$), the NLO hadronic cross section is $\sim 37 $ pb, while $\sim 25 $ pb for tree level. The NLO QCD corrections can enhance the cross section by a factor from 1.33 to 1.66 for $\frac{μ_0}{2} < μ< 2 μ_0$.

Figures (3)

• Figure 1: Feynmann diagrams for $bg \rightarrow t W^-$: the Born level (a), the virtual gluon exchange (b) and the gluon radiation (c).
• Figure 2: Cross sections of NLO (dashed) and LO (solid) for $pp \rightarrow b g \rightarrow t W^-$ as functions of $\mu/\mu_0$ at the LHC with $\sqrt{s}=14$ TeV, where $\mu_0=m_t+m_W$.
• Figure 3: K factor for $pp \rightarrow bg \rightarrow t W^-$ as functions of $\mu/\mu_0$ at the LHC.