Production of two hadrons in semi-inclusive deep inelastic scattering

Gliske, S.; Bacchetta, Alessandro; Radici, Marco

doi:10.1103/physrevd.90.114027

Cited by 30 publications

(19 citation statements)

References 46 publications

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“…(12,13), where one has integrated over the azimuthal angle of one of the hadrons in the pair. Here the cross section is still modulated with respect to the sine of the difference of the unintegrated hadron's azimuthal angle and ϕ S , with a coefficient involving the moments of the Fourier expansions of both the unintegrated cross section terms σ 1 and σ 2 .…”

Section: Discussionmentioning

confidence: 99%

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Sivers effect in dihadron semi-inclusive deep inelastic scattering

2014

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The Sivers effect describes the correlation of the unpolarized parton's transverse momentum with the transverse spin of the nucleon. It manifests as a sine modulation of the cross section for singlehadron semi-inclusive deep inelastic scattering (SIDIS) on a transversely polarized nucleon with the azimuthal angle between the produced hadron's transverse momentum and the nucleon spin (ϕ h and ϕS, respectively). It has been recently suggested that the Sivers effect can also be measured in two-hadron SIDIS process as sine modulations involving the azimuthal angles ϕT and ϕR of both the total and the relative transverse momenta of the hadron pair. Here we present the detailed derivation of the two-hadron SIDIS cross section using simple parton-model inspired functional forms for both the parton distribution and the fragmentation functions. We show explicitly that the terms corresponding to the sin(ϕR − ϕS) and sin(ϕT − ϕS) modulations are nonzero. Further, we derive the cross section expressions for single-hadron production in the two-hadron sample. Finally, we employ a modified version of the LEPTO Monte Carlo event generator that includes the Sivers effect to estimate the size of single spin asymmetries corresponding to these modulations independent of the formalism developed.

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Section: Discussionmentioning

confidence: 99%

“…[12], while the most general expression for the fully differential two-hadron cross section is presented in Ref. [13].…”

Section: Introductionmentioning

confidence: 99%

Sivers effect in dihadron semi-inclusive deep inelastic scattering

2014

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“…[33] (see also Ref. [39] for an alternative expansion). It is clear, that all the sine terms vanish, as the DiFFs are even functions of ϕ KR .…”

Section: Field-theoretical Definitions Of the Diffsmentioning

confidence: 99%

Semi-inclusive production of two back-to-back hadron pairs in e+e− annihilation revisited

et al. 2018

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The cross section for back-to-back hadron pair production in e þ e − annihilation provides access to the dihadron fragmentation functions (DiFF) needed to extract nucleon parton distribution functions from the semi-inclusive deep inelastic scattering (SIDIS) experiments with two detected final state hadrons. Particular attention is given to the so-called interference DiFF (IFF), which makes it possible to extract the transversity parton distribution of the nucleon in the collinear framework. However, previously unnoticed discrepancies were recently highlighted between the definitions of the IFFs appearing in the collinear kinematics when reconstructed from DiFFs entering the unintegrated fully differential cross sections of SIDIS and e þ e − annihilation processes. In this work, to clarify this problem we re-derive the fully differential cross section for e þ e − annihilation at the leading-twist approximation. We find a mistake in the definition of the kinematics in the original expression that systematically affects a subset of terms and that leads to two significant consequences. First, the discrepancy between the IFF definitions in the cross sections for SIDIS and e þ e − annihilation is resolved. Second, the previously derived azimuthal asymmetry for accessing the helicity dependent DiFF G ⊥ 1 in e þ e − annihilation vanishes, which explains the nonobservation of this asymmetry in the recent experimental searches by the BELLE collaboration. We discuss the recently proposed alternative option to extract G ⊥ 1 .

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“…The underlying theoretical framework of the here presented analysis for the expression of the transversemomentum-dependent two-hadron semi-inclusive deep- inelastic scattering cross section is developed in Ref. [1]. Here, a slight modification of the definition of fragmentation functions, compared to e.g.…”

Section: Introductionmentioning

confidence: 99%

“…As detailed in Ref. [1], this redefinition not only may help in the interpretation and presentation of cross-section moments, but it also allows to derive the two-hadron semiinclusive deep-inelastic scattering cross section from the single-hadron semi-inclusive deep-inelastic cross section, and this at any twist level.…”

Section: Introductionmentioning

confidence: 99%

Recent HERMES results from inclusive and semi-inclusive hadron production

Hulse

2015

EPJ Web of Conferences

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Abstract. Hermes collected a wealth of data using the 27.6 GeV polarized Hera lepton beam and various pure, polarized and unpolarized, gaseous targets. This unique data set opens the door to various measurements sensitive to the multi-dimensional structure of the nucleon. Among them are two-hadron production in semi-inclusive deep-inelastic scattering on a transversely polarized target, providing access to different transverse-momentumdependent distribution and fragmentation functions in a way complementary to single-hadron production. Also transverse-target single-spin asymmetries in inclusive electroproduction of charged pions and kaons have been recently extracted, complementing data from proton-proton collisions, where large, so far unexplained, asymmetries have been observed. From inclusive measurements on various nuclear targets, the Λ polarization is extracted, also here complementing measurements in proton-proton collisions.

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Production of two hadrons in semi-inclusive deep inelastic scattering

Cited by 30 publications

References 46 publications

Sivers effect in dihadron semi-inclusive deep inelastic scattering

Sivers effect in dihadron semi-inclusive deep inelastic scattering

Semi-inclusive production of two back-to-back hadron pairs in e+e− annihilation revisited

Recent HERMES results from inclusive and semi-inclusive hadron production

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