Semi-inclusive production of two back-to-back hadron pairs in $e^{+}{e}^{-}$ annihilation revisited

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 rederive 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 $G_1^{\perp }$ in $e^{+}{e}^{-}$ annihilation vanishes, which explains the nonobservation of this asymmetry in the recent experimental searches by the $\mathtt{BELLE}$ Collaboration. We discuss the recently proposed alternative option to extract $G_1^{\perp }$.

15 pages, 2 figures. V2: Updated to version published in PRD with minor revisions of the text

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Cited by in corpus (12)

• Parton distributions and lattice QCD calculations: toward 3D structure
• First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• Accessing Quark Helicity through Dihadron Studies
• Single-spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation
• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
• Analogies between hadron-in-jet and dihadron fragmentation
• Dihadron fragmentation framework for near-side energy-energy correlators
• Novel experimental probes of QCD in SIDIS and $e^{+}{e}^{-}$ annihilation
• The hadron pair forward-backward asymmetry in the electron positron annihilation process