Endpoint singularities in unintegrated parton distributions

Abstract

We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.

References in corpus (15)

• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• Infrared Factorization, Wilson Lines and the Heavy Quark Limit
• What exactly is a parton density?
• Infrared divergences and non-lightlike eikonal lines in Sudakov processes
• Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
• Soft gluons and gauge-invariant subtractions in NLO parton-shower Monte Carlo event generators
• Transverse-Momentum-Dependent Gluon Distributions and Semi-inclusive Processes at Hadron Colliders
• kt - factorization and CCFM - the solution for describing the hadronic final states - everywhere ?
• QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B\sim 1-\mathcal{O}({\Lambda }_{\mathrm{QCD}}/Q$
• Gluon Distribution Functions in the kT-factorization Approach
• Uncertainties on Central Exclusive Scalar Luminosities from the unintegrated gluon distributions
• Initial State Parton Showers Beyond Leading Order
• Central Exclusive Scalar Luminosities from the Linked Dipole Chain Model gluon densities

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