Evolution of Chirality-odd Twist-3 Fragmentation Functions

Abstract

We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level. There are totally nine real twist-3 fragmentation functions, among which seven are independent. The renormalization-scale dependence of the nine functions has an important implication for studies of single transverse-spin asymmetries. We find that the evolutions of the three complex fragmentation functions defined by quark-gluon-quark operator are mixed with themselves. There is no mixing with the fragmentation functions defined only with bilinear quark field operators. In the large-$N_c$ limit the evolutions of the three complex fragmentation functions are simplified and reduced to six homogenous equations.

representation improved, published version

References in corpus (8)

• Parton Fragmentation Functions
• 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
• Partonic Pole Matrix Elements for Fragmentation
• QCD evolution of naive-time-reversal-odd parton distribution functions
• QCD evolution of naive-time-reversal-odd fragmentation functions
• Renormalization of twist-four operators in light-cone gauge

Cited by in corpus (5)

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• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Predicting the $\sin {\varphi }_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS
• Fragmentation contributions to transverse nucleon spin observables in semi-inclusive deep-inelastic scattering at NLO
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3