What can break the Wandzura-Wilczek relation?

We present results for a complete set of polarization observables for jet production in lepton proton collision, where the final state lepton is not observed. The calculations are carried out in collinear factorization at the level of Born diagrams. For all the observables we also provide numerical estimates for typical kinematics of a potential future Electron Ion Collider. On the basis of this numerical study, the prospects for the transverse single target spin asymmetry are particularly promising. This observable is given by a certain quark-gluon correlation function, which has a direct relation to the transverse momentum dependent Sivers parton distribution.

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“…For g T we resort to the frequently used Wandzura-Wilczek approximation [71] (see [72] for a recent study of the quality of this approximation)…”

Section: Numerical Estimatesmentioning

confidence: 99%

Exploring the structure of the proton through polarization observables inlp→jetX

et al. 2011

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“…As is well-known, the g 2 structure function receives a major contribution from the leading twist part of the g 1 structure function, which is typi-cally referred to as the Wandzura-Wilczek contribution [51]. Interestingly, deviations of the Wandzura-Wilczek approximation from experimental data can be explained by the aforementioned quark-gluon-quark correlations [52].…”

Section: Introductionmentioning

confidence: 99%

“…We may insert the expressions (53) and (52) into (71) in order to write the observable in terms of three-parton correlation functions,…”

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confidence: 99%

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

et al. 2016

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We investigate the behavior under Lorentz tranformations of perturbative coefficient functions in a collinear twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentz-invariant forms in various frames. This somewhat surprising difference can be traced back to a general dependence of the perturbative coefficient functions on lightcone vectors which are introduced by the twist-3 factorization formulae and which are frame-dependent. One can remove this spurious frame dependence by invoking so-called Lorentz invariance relations (LIRs) between twist-3 parton correlation functions. Some of those relations for twist-3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist-3 fragmentation functions. We explicitly demonstrate that these LIRs remove the lightcone vector dependence by considering transverse spin observables in the single-inclusive production of hadrons in leptonnucleon collisions, N → hX. With the LIRs in hand, we also show that twist-3 observables in general can be written solely in terms of three-parton correlation functions.

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“…This relation remains valid when target mass corrections are included in the twist-2 contribution [23,24].…”

Section: A Leading Twistmentioning

confidence: 81%

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

2014

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We perform a next-to-leading-order QCD analysis to world data on polarized structure functions g1 and g2 in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study their non-negligible effects on physically interesting quantities. Twist-3 contributions to both polarized structure functions are determined, and the accuracy of the extracted polarized parton distribution functions is improved. 3 He and 3 H polarized structure functions are described based on our fit result. Moreover, sum rules are derived and compared with available theoretical and experimental results.

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What can break the Wandzura-Wilczek relation?

Cited by 89 publications

References 87 publications

Exploring the structure of the proton through polarization observables inlp→jetX

Exploring the structure of the proton through polarization observables inlp→jetX

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

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