Measurement of the Strong Coupling Constant from Inclusive Jet Production at the Tevatron $\bar{p}p$ Collider

Abstract

We report a measurement of the strong coupling constant, ${\alpha }_s(M_Z)$, extracted from inclusive jet production in $p\bar{p}$ collisions at $\sqrt{s}=$1800 GeV. The QCD prediction for the evolution of ${\alpha }_s$ with jet transverse energy $E_T$ is tested over the range 40<$E_T$<450 GeV using $E_T$ for the renormalization scale. The data show good agreement with QCD in the region below 250 GeV. In the text we discuss the data-theory comparison in the region from 250 to 450 GeV. The value of ${\alpha }_s$ at the mass of the $Z^0$ boson averaged over the range 40<$E_T$<250 GeV is found to be ${\alpha }_s(M_Z)=0.1178\pm 0.0001{(\mathrm{stat})}_{-0.0095}^{+0.0081}(exp.syst)$. The associated theoretical uncertainties are mainly due to the choice of renormalization scale ($^{+6%}_{-4%}$) and input parton distribution functions (5%).

7 pages, 3 figures, using RevTeX. Submitted to Physical Review Letters

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