Power Corrections in QCD: A Matter of Energy Resolution

Abstract

We consider power-like corrections in QCD which can be viewed as power surpressed infrared singularities. We argue that the presence of these singularities depends crucially on the energy resolution. In case of poor energy resolution, i.e., inclusive cross sections, there are constraints on infrared singularities expressed by the Kinoshita-Lee-Nauenberg (KLN) theorem. We rewrite the theorem in covariant notations and argue that the KLN theorem implies the extension of the Bloch-Nordsieck cancellation of logarithmic singularities to the case of linear corrections.

11 pages, Latex file, uses epsf.sty, 5 figures in a uufile

References in corpus (3)

• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Power corrections and renormalons in Drell-Yan production
• Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays

Cited by in corpus (15)

• Renormalons
• The Resummation of Soft Gluon in Hadronic Collisions
• Threshold Resummation for the Inclusive-Hadron Cross-Section in pp Collisions
• Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation
• Analyticity and power corrections in hard-scattering hadronic functions
• Dilepton production near partonic threshold in transversely polarized proton-antiproton collisions
• The KLN Theorem and Soft Radiation in Gauge Theories: Abelian Case
• Recoil and Power Corrections in High-x_T Direct-Photon Production
• Higher-Order Corrections to QCD Factorization in B->pi K,pi pi Decays
• A Quick Look at Renormalons
• Asymptotics of QCD Factorization in Exclusive Hadronic Decays of B Mesons
• Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy Quark
• Power Corrections and KLN Cancellations
• Resummation of threshold corrections in QCD to power accuracy: the Drell-Yan cross section as a case study
• The static PQCD potential with modified boundary conditions