W- andZ-boson production with a massive bottom-quark pair at the Large Hadron Collider

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Abstract

We present total and differential cross sections for $Wb\overline{b}$ and $Zb\overline{b}$ production at the CERN Large Hadron Collider with a center-of-mass energy of $\sqrt{s}=14\text{ }\text{ }\mathrm{TeV}$, including next-to-leading order (NLO) QCD corrections and full bottom-quark mass effects. We also provide numerical results obtained with a center-of-mass energy of $\sqrt{s}=10\text{ }\text{ }\mathrm{TeV}$. We study the scale uncertainty of the total cross sections due to the residual renormalization- and factorization-scale dependence of the truncated perturbative series. While in the case of $Zb\overline{b}$ production the scale uncertainty of the total cross section is reduced by NLO QCD corrections, the $Wb\overline{b}$ production process at NLO in QCD still suffers from large scale uncertainties, in particular, in the inclusive case. We also perform a detailed comparison with a calculation that considers massless bottom quarks, as implemented in the Monte Carlo program MCFM. The effects of a nonzero bottom-quark mass (${m}_{b}$) cannot be neglected in phase-space regions where the relevant kinematic observable, such as the transverse-momentum of the bottom quarks or the invariant-mass of the bottom-quark pair, are of the order of ${m}_{b}$. The effects on the total production cross sections are usually smaller than the residual scale uncertainty at NLO in QCD.

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