The Inclusive Two Jet Triply Differential Cross Section

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.52.1486

We study the inclusive two jet triply differential cross section $d^3\sigma/dE_Td\eta_1d\eta_2$ 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 [${\cal O}(\alpha_s^3)$] 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.

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