Resummation of the QCD Perturbative Series for Hard Processes

Catani, S.; Trentadue, L.

doi:10.1016/0550-3213(89)90273-3

Resummation of the QCD Perturbative Series for Hard Processes

S. Catani
(
- INFN, Florence and
- Florence U.
)
,
L. Trentadue
(
- Parma U. and
- INFN, Parma
)

Apr 10, 1989

30 pages

Published in:

Nucl.Phys.B 327 (1989) 323-352

Published: 1989

DOI:

10.1016/0550-3213(89)90273-3

Report number:

DFF-93/3/89

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Abstract: (Elsevier)

We study the region of inhibited radiation in hard hadronic processes, as for jet cross sections and heavy flavour production near threshold. The cases of deep inelastic scattering and Drell-Yan annihilation are explicitly considered. A general method to exponentiate leading and next-to-leading logarithms to all orders in perturbation theory is developed. A complete formula for the large N -moments is given and shown to agree with previous two-loop calculations. The resummation procedure suggests how to connect the perturbative and nonperturbative regions. The natural limit within the perturbative phase is shown to be the intrinsic transverse momentum.

hadron hadron: interaction
lepton: hadroproduction
lepton: pair production
Drell-Yan process
lepton hadron: deep inelastic scattering
model: hard scattering
gluon: radiation
jet: production
heavy quark
quark: production

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