Scale Dependence of Twist-3 Quark-Gluon Operators for Single Spin Asymmetries

Abstract

We derive the scale dependence of twist-3 quark-gluon operators, or ETQS matrix elements, at one-loop. These operators are used to factorize transverse single spin asymmetries, which are studied intensively both in experiment and theory. The scale dependence of two special cases are particularly interesting. One is of soft-gluon-pole matrix elements, another is of soft-quark-pole matrix elements. From our results the evolutions in the two cases can be obtained. A comparison with existing results of soft-gluon-pole matrix elements is made.

typo in Eq.(10) corrected, references added

References in corpus (8)

• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• 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
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes

Cited by in corpus (26)

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• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
• Next-to-leading order transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering: the role of the three-gluon correlator
• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
• Transverse single spin asymmetry in hadronic ${\eta }_{c,b}$ production
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• Sivers asymmetry of Drell-Yan production in small-$x$ regime
• Analysis of the double-spin asymmetry A_LT in inelastic nucleon-nucleon collisions
• Sea quark Sivers distribution
• New pole contribution to $P_{h\perp }$-weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• QCD Corrections of All Structure Functions in Transverse Momentum Dependent Factorization for Drell-Yan Processes
• QCD evolution of the orbital angular momentum of quarks and gluons: Genuine twist-three part
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization
• A note on the scale dependence of the Burkardt sum rule
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• On the Singular Behavior of the Chirality-Odd Twist-3 Parton Distribution e(x)
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
• QCD Evolutions of Twist-3 Chirality-Odd Operators
• Azimuthal Dependence of DIS with Spin-1 Target
• $\pi -N$ Drell-Yan process in TMD factorization
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron
• Nucleon Tomography with 0-jettiness