Infrared finite coupling in Sudakov resummation: the precise set-up

Abstract

I show that Sudakov resummation takes a transparent form if one deals with the second logarithmic derivative of the short distance coefficient functions for deep inelastic scattering and the Drell-Yan process. A uniquely defined Sudakov exponent emerges, and the constant terms not included in the exponent are conjectured to be given by the second logarithmic derivative of the massless quark form factor. The precise framework for the implementation of the dispersive approach to power corrections is set-up, yielding results in agreement with infrared renormalon expectations, but which are not tied to the single (dressed) gluon exchange approximation. Indications for a Banks-Zaks type of perturbative fixed point in the Sudakov effective coupling at low N_f are pointed out. Existence of a fixed point in the Sudakov coupling is argued to imply its universality.

5 pages, improved version of hep-ph/0606033, new result on universality of power corrections; version 2: added material, comments and references (to appear in Physical Review D (Rapid Communication)); version 3: a few misprints corrected, one reference added (journal version)

References in corpus (25)

• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• The Resummation of Soft Gluon in Hadronic Collisions
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Naive nonabelianization and resummation of fermion bubble chains
• Power corrections to event shapes and factorization
• 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
• The Quark Form Factor at Higher Orders
• Higher-Order threshold effects to inclusive processes in QCD
• Power corrections and renormalons in Drell-Yan production
• Power Corrections to Event Shape Distributions
• Threshold resummation for electroweak annihilation from DIS data
• On the universality of the Milan factor for 1/Q power corrections to jet shapes
• Recoil and Threshold Corrections in Short-distance Cross Sections
• Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MSbar schemes
• Relations between Observables and the Infrared Fixed-Point in QCD
• The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering
• Power corrections and resummation of radiative corrections in the single dressed gluon approximation - the average thrust as a case study
• Crossed Threshold Resummation
• Power Corrections to Fragmentation Functions in Non-Singlet Deep Inelastic Scattering
• Conformal window and Landau singularities
• Evidence for infrared finite coupling in Sudakov resummation
• On power corrections in the dispersive approach
• Fixing the conformal window in QCD
• Computing the perturbative gluon condensate

Cited by in corpus (3)

• Universality of transverse-momentum resummation and hard factors at the NNLO
• A dispersive approach to Sudakov resummation
• Constant terms in threshold resummation and the quark form factor