Contribution of twist-3 fragmentation function to single transverse-spin asymmetry in semi-inclusive deep inelastic scattering

Abstract

We study the contribution of the twist-3 fragmentation function to the single-transverse spin asymmetry in semi-inclusive deep inelastic scattering within the framework of the collinear factorization. Making use of the Ward-Takahashi identity in QCD, we establish the formalism in the Feynman gauge to calculate the non-pole contribution of the twist-3 fragmentation function to the asymmetry and derive the complete cross-section formula in the leading order QCD perturbation theory. The obtained twist-3 hadronic tensor is shown to satisfy the electromagnetic gauge-invariance. The behavior in the small transverse- momentum region for the five structure functions is also given.

26 pages, 3 figures

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Cited by in corpus (43)

• Parton Fragmentation Functions
• Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: the role of fragmentation in collinear factorization
• 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
• Nucleon tensor charge from Collins azimuthal asymmetry measurements
• Three-gluon contribution to the single spin asymmetry for light hadron production in pp collision
• Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO
• 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
• Measurement of transverse single-spin asymmetries of ${\pi }^0$ and electromagnetic jets at forward rapidity in 200 and 500 GeV transversely polarized proton-proton collisions
• Leading and higher twist contributions in semi-inclusive e+e- annihilation at high energies
• Tensor polarization dependent fragmentation functions and e+e-\to V πX at high energies
• Longitudinal-transverse double-spin asymmetries in single-inclusive leptoproduction of hadrons
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• Higher twist contribution to fragmentation function in inclusive hadron production in e^+e^- annihilation
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Twist-3 fragmentation contribution to polarized hyperon production in unpolarized hadronic collisions
• Transverse single-spin asymmetries in $p^{\uparrow }p\to \gamma X$ from quark-gluon-quark correlations in the proton
• Single-spin asymmetries in the leptoproduction of transversely polarized $\Lambda$ hyperons
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Single-spin asymmetries at two loops
• Single spin asymmetry in forward $pA$ collisions II: Fragmentation contribution
• Single Spin Asymmetry in Forward $pA$ Collisions
• Hyperon polarization from the twist-3 distribution in the unpolarized proton-proton collision
• New pole contribution to $P_{h\perp }$-weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• The $g_T(x)$ contribution to single spin asymmetries in SIDIS
• Twist-3 Gluon Fragmentation Contribution to Polarized Hyperon Production in Unpolarized Proton-Proton Collision
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Twist-3 effect from the longitudinally polarized proton for $A_{LT}$ in hadron production from $pp$ collisions
• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
• Twist-3 fragmentation effects for $A_{LT}$ in light hadron production from proton-proton collisions
• New approach to the Sivers effect in the collinear twist-3 formalism
• Double spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Transverse single-spin asymmetries in proton-proton collisions at the AFTER@LHC experiment
• The transverse nucleon single-spin asymmetry for the semi-inclusive production of photons in lepton-nucleon scattering
• Predicting the $\sin {\varphi }_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Single spin asymmetries in ultra-peripheral $p^{\uparrow }A$ collisions
• $A_N$ in inclusive lepton-proton collisions: TMD and twist-3 approaches
• Twist-3 Gluon Fragmentation Contribution to Hyperon Polarization in Semi-Inclusive Deep Inelastic Scattering