Resummation of threshold corrections in QCD to power accuracy: the Drell-Yan cross section as a case study

Abstract

Resummation of large infrared logarithms in perturbation theory can, in certain circumstances, enhance the sensitivity to small gluon momenta and introduce spurious nonperturbative contributions. In particular, different procedures -- equivalent in perturbation theory -- to organize this resummation can differ by $1/Q$ power corrections. The question arises whether one can formulate resummation procedures that are explicitly consistent with the infrared behaviour of finite-order Feynman diagrams. We explain how this problem can be treated and resolved in Drell-Yan (lepton pair) production and briefly discuss more complicated cases, such as top quark production and event shape variables in the $e^{+}{e}^{-}$ annihilation.

12 pages, LATEX, requires sprocl.sty (included); To appear in the Proceedings of Second Workshop on Continuous Advances in QCD (Minneapolis, U.S.A., March 1996) and 1996 Zeuthen Workshop on Elementary Particle Theory: QED and QCD in Higher Orders (Rheinsberg, Germany, April 1996)

References in corpus (13)

• Calculation of Power Corrections to Hadronic Event Shapes
• Nonperturbative Corrections in Resummed Cross Sections
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Power corrections and renormalons in Drell-Yan production
• Top Quark Production Cross Section
• Estimation of Power Corrections to Hadronic Event Shapes
• Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays
• On the Universality of the Leading, $1/Q$ Power Corrections in QCD
• Principal Value Resummation
• Perturbative Gluon Resummation of the Top Quark Production Cross Section
• Infrared Renormalons and Power Suppressed Effects in $e^{+}{e}^{-}$ Jet Events
• Leading Power Corrections in QCD: From Renormalons to Phenomenology
• Power Corrections in QCD: A Matter of Energy Resolution

Cited by in corpus (4)

• Renormalons
• Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process
• Power Corrections to Event Shapes with Mass-Dependent Operators
• Power Corrections to Electroweak Boson Production from Threshold Resummation