Inclusive $\mu$ and $\mathit{b}$-Quark Production Cross Sections in $\mathit{p}\overline{p}$ Collisions at $\surd \mathit{s}=1.8\mathrm{}$ TeV

We report a measurement of the inclusive muon and $b$-quark production cross sections in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}$ TeV using the D0 detector at the Fermilab Tevatron collider. The inclusive muon spectrum extends over the kinematic range $|y^{\mu }|<0.8\mathrm{}$ and $3.5<\mathrm{}{p}_T^{\mu }<60\mathrm{GeV}/c$, and is well described by the expected contributions from various known sources. The $b$-quark production cross section for $|y^b|<1.0\mathrm{}$ and $p_T^b>6\mathrm{GeV}/c$ is extracted, and agrees with next-to-leading order QCD predictions within the experimental and theoretical uncertainties.