All Order Summation and Two Loop Results for the {Drell-Yan} Cross-section

Magnea, Lorenzo

doi:10.1016/0550-3213(91)90393-C

All Order Summation and Two Loop Results for the {Drell-Yan} Cross-section

Lorenzo Magnea
(
- SUNY, Stony Brook
)

May 17, 1990

11 pages

Published in:

Nucl.Phys.B 349 (1991) 703-713

Published: 1991

DOI:

10.1016/0550-3213(91)90393-C

Report number:

ITP-SB-90-28

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Abstract: (Elsevier)

We compare the hard part of the Drell-Yan cross section calculated at two loops by Matsuura, van der Marck and van Neerven with the predictions obtained by using resummation techniques. We observe that the convergence of the resummed expression is very good for leading and next-to-leading logarithms, and we suggest that there is room for improvement in the understanding of the remaining singular terms. Nonetheless, we find that the resummed expression predicts the two-loop K -factor with impressive accuracy.

pi nucleon: inclusive reaction
anti-p p: inclusive reaction
lepton: pair production
pair production: lepton
Drell-Yan process
differential cross section: factorization
factorization: differential cross section
quantum chromodynamics
perturbation theory: higher-order
leading logarithm approximation

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