QCD Evolutions of Twist-3 Chirality-Odd Operators

Abstract

We study the scale dependence of twist-3 distributions defined with chirality-odd quark-gluon operators. To derive the scale dependence we explicitly calculate these distributions of multi-parton states instead of a hadron. Taking one-loop corrections into account we obtain the leading evolution kernel in the most general case. In some special cases the evolutions are simplified. We observe that the obtained kernel in general does not get simplified in the large-$N_c$ limit in contrast to the case of those twist-3 distributions defined only with chirality-odd quark operators. In the later, the simplification is significant.

9 pages, 2 figures

References in corpus (7)

• 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
• QCD evolution of naive-time-reversal-odd parton distribution functions
• A note on the scale evolution of the ETQS function T_F(x,x)
• Scale Dependence of Twist-3 Quark-Gluon Operators for Single Spin Asymmetries
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes

Cited by in corpus (6)

• Global analysis of the Sivers functions at NLO+NNLL in QCD
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• On the Singular Behavior of the Chirality-Odd Twist-3 Parton Distribution e(x)
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron