Soft Gluon Resummation in Heavy Flavour Production

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I discuss the effect of resummation of soft gluons in hadronic production of high mass systems, and in particular in heavy flavour production. I show that in widely used $x$-space resummation formulae, spurious terms that grow factorially in the order of the perturbative expansion are present. These terms spoil the convergence of the perturbative expansion. I also show that it is possible to perform the soft gluon resummation in such a way that these terms are not present. Implications for top and high mass dijet production at the Tevatron are discussed.
14 pages, Latex, epsfig, 6 figures; talk presented at the 10th Rencontres de Physique de la Vallée d'Aoste, La Thuile, Val d'Aosta, March 3-9, 1996

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