Renormalization-group anatomy of transverse-momentum dependent parton distribution functions in QCD

Abstract

The ultraviolet and rapidity divergences of transverse-momentum dependent parton distribution functions with lightlike and transverse gauge links is studied, also incorporating a soft eikonal factor. We find that in the light-cone gauge with $q^{-}$-independent pole prescriptions extra divergences appear which amount, at one-loop, to a cusp-like anomalous dimension. We show that such contributions are absent when the Mandelstam-Leibbrandt prescription is used. In the first case, the soft factor cancels the anomalous-dimension defect, while in the second case its ultraviolet-divergent part reduces to unity.

10 pages, 3 figures; needs ws-mpla-hep.cls (supplied). Talk presented by the first author at Workshop on "Recent Advances in Perturbative QCD and Hadronic Physics", 20--25 July 2009, ECT*, Trento, Italy, in Honor of Prof. Anatoly Efremov's 75th birthday

References in corpus (5)

• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Endpoint singularities in unintegrated parton distributions
• Rapidity divergences and valid definitions of parton densities

Cited by in corpus (11)

• The transverse momentum dependent distribution functions in the bag model
• Forward Jets and Energy Flow in Hadronic Collisions
• Wilson lines in transverse-momentum dependent parton distribution functions with spin degrees of freedom
• Evolution of cusped light-like Wilson loops and geometry of the loop space
• On correlations in high-energy hadronic processes and the CMS ridge: A manifestation of quantum entanglement?
• On a Wilson lines approach to the study of jet quenching
• On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in ${\alpha }_s$
• Fréchet derivative for light-like Wilson Loops
• Transverse Momentum Dependent Parton Density Functions and a Self-similarity based Model of Proton Structure Function F2(x,Q2) at Large and Small x
• Role and Properties of Wilson Lines in Transverse-Momentum-Dependent Parton Distribution Functions
• Evolution and dynamics of cusped light-like Wilson loops (Hadron 2013)