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

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2018

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Matevosyan, H.
Bacchetta, A.
Boer, D.
Courtoy, A.
Kotzinian, A.
Radici, M.
Thomas, A.

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Physical Review D (particles, fields, gravitation, and cosmology), 2018; 97(7):074019-1-074019-14

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Hrayr H. Matevosyan, Alessandro Bacchetta, Daniël Boer, Aurore Courtoy, Aram Kotzinian, Marco Radici, and Anthony W. Thomas

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Abstract

The cross section for back-to-back hadron pair production in e⁺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⁺e⁻ annihilation processes. In this work, to clarify this problem we re-derive the fully differential cross section for e⁺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⁺e⁻ annihilation is resolved. Second, the previously derived azimuthal asymmetry for accessing the helicity dependent DiFF G⊥1 in e⁺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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Published 17 April 2018

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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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