A note on the scale dependence of the Burkardt sum rule

Abstract

In this short note, we argue that the Burkardt sum rule for the Sivers functions can be used to check the consistency of evolution equations of three-parton correlators.

7 pages

References in corpus (10)

• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• QCD Evolution of the Transverse Momentum Dependent Correlations
• Single transverse-spin asymmetry for $D$-meson production in semi-inclusive deep inelastic scattering
• A quark model analysis of the Sivers function
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• QCD evolution of naive-time-reversal-odd parton distribution functions
• The light-front gauge-invariant energy-momentum tensor
• Model calculations of the Sivers function satisfying the Burkardt Sum Rule
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes

Cited by in corpus (9)

• Parton Fragmentation Functions
• Asymmetries in Heavy Quark Pair and Dijet Production at an EIC
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Single spin asymmetries from a single Wilson loop
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Transverse momentum moments
• Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization
• $\pi -N$ Drell-Yan process in TMD factorization
• Nucleon Tomography with 0-jettiness