Tensor polarization dependent fragmentation functions and e+e-\to V πX at high energies

Abstract

We present the systematic results for three dimensional fragmentation functions of spin one hadrons defined via quark-quark correlator. There are totally 72 such fragmentation functions, among them 18 are twist-2, 36 are twist-3 and 18 are twist-4. We also present the relationships between the twist-3 parts and those defined via quark-gluon-quark correlator obtained from the QCD equation of motion. We show that two particle semi-inclusive hadron production process $e^{+}{e}^{-}\to V\pi X$ at high energies is one of the best places to study the three-dimensional tensor polarization dependent fragmentation functions. We present the general kinematic analysis of this process and show that the cross section should be expressed in terms of 81 independent structure functions. After that we present parton model results for the hadronic tensor, the structure functions, the azimuthal and spin asymmetries in terms of these gauge invariant fragmentation functions at the leading order pQCD up to twist-3.

arXiv comment30 pages, 3 figures, supersedes 1505.02856

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Cited by in corpus (21)

• Observation of Transverse $\Lambda /\bar{\Lambda }$ Hyperon Polarization in $e^{+}{e}^{-}$ Annihilation at Belle
• Tensor-polarized structure function $b_1$ in the standard convolution description of the deuteron
• Twist-4 contributions to semi-inclusive deeply inelastic scatterings with polarized beam and target
• Vector meson's spin alignments in high energy reactions
• Theoretical estimate on tensor-polarization asymmetry in proton-deuteron Drell-Yan process
• Energy dependence of hadron polarization in $e^{+}{e}^{-}\to hX$ at high energies
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• The Spin Alignment of Vector Mesons in High Energy pp Collisions
• Twist-4 contributions to semi-inclusive $e^{+}{e}^{-}$-annihilation process
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Parity violating semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Charged current semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Parity odd Fragmentation Functions
• Azimuthal asymmetries from $\theta$ Vacuum
• Polarized vector meson production in semi-inclusive DIS
• Parity-odd Parton Distribution Functions from $\theta$-Vacuum
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• Novel relations for twist-3 tensor-polarized fragmentation functions in spin-1 hadrons
• The forward-backward asymmetry in the electron positron annihilation process at twist-4
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron