QCD evolution of naive-time-reversal-odd fragmentation functions

Abstract

We study QCD evolution equations of the first transverse-momentum-moment of the naive-time-reversal-odd fragmentation functions - the Collins function and the polarizing fragmentation function. We find for the Collins function case that the evolution kernel has a diagonal piece same as that for the transversity fragmentation function, while for the polarizing fragmentation function case this piece is the same as that for the unpolarized fragmentation function. Our results might have important implications in the current global analysis of spin asymmetries.

8 pages,4 figures

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Cited by in corpus (32)

• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• Parton Fragmentation Functions
• QCD Evolution of the Sivers Asymmetry
• An Observation Concerning the Process Dependence of the Sivers Functions
• Collins functions for pions from SIDIS and new e+e- data: a first glance at their transverse momentum dependence
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Measurement of azimuthal asymmetries in inclusive charged dipion production in $e^{+}{e}^{-}$ annihilations at $\sqrt{s}$ = 3.65 GeV
• Global fitting of single spin asymmetry: an attempt
• Nucleon tensor charge from Collins azimuthal asymmetry measurements
• QCD evolution of naive-time-reversal-odd parton distribution functions
• Single Spin Asymmetry Scaling in the Forward Rapidity Region at RHIC
• Exploring the structure of the proton through polarization observables in l p \to jet X
• A model independent analysis of gluonic pole matrix elements and universality of TMD fragmentation functions
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Next-to-leading order transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering: the role of the three-gluon correlator
• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• Extracting the transversity distributions from single-hadron and dihadron production
• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
• Phenomenology of transverse spin: past, present and future
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• Sivers asymmetry of Drell-Yan production in small-$x$ regime
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• The transverse nucleon single-spin asymmetry for the semi-inclusive production of photons in lepton-nucleon scattering
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• Double Collins effect in $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }X$ process in a diquark spectator model
• Predicting the $\sin {\varphi }_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS
• QCD evolution of naive-time-reversal-odd quark-gluon correlation functions