by HsiangNan LI (Inst. of Physics, Academia Sinica, Taipei, Taiwan)

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CERN

Description
We derive a resummation formula for a k T-dependent parton distribution function at threshold, where k T is a parton transverse momentum. The derivation requires infrared cutoffs for both longitudinal and transverse loop momenta as evaluating soft gluon emissions. This joint resummation exhibits suppression at large b, b being the conjugate variable of k T, which is similar to the k T resummation, and exhibits enhancement at small b, similar to the threshold resummation. Its importance for understanding the p T spectrum of direct photon production is emphasized.