The Inclusive Two Jet Triply Differential Cross Section

Abstract

We study the inclusive two jet triply differential cross section $d^3\sigma /d{E}_{T}d{\eta }_{1}d{\eta }_2$ at Fermilab energies. Different ${\eta }_1$ and ${\eta }_2$ pseudorapidity regions are directly related to both the parton level matrix elements and the parton densities at leading order. We present the next-to-leading order [$\mathcal{O}({\alpha }_s^3)$] corrections and show that the shape of the distribution at fixed transverse energy $E_T$ is a particularly powerful tool for constraining the parton distributions at small to moderate $x$ values. We investigate the renormalisation/factorisation scale uncertainty present in the normalisation and shape of the distribution at next-to-leading order. We discuss specific slices of the distribution, the same-side/opposite side ratio and the signed pseudorapidity distribution, in detail and compare them with preliminary experimental data.

25 pages, uuencoded & compressed LATEX source, DVI file + 28 postscript figures files (1.19 Mb extracted)

References in corpus (4)

• Higher Order Corrections to Jet Cross Sections in Hadron Colliders
• Parton Distributions of the Proton
• One-loop helicity amplitudes for all 2 -> 2 processes in QCD and N=1 supersymmetric Yang-Mills theory
• The Two-Jet Differential Cross Section at $\mathcal{O}({\alpha }_s^3)$ in Hadron Collisions

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