Partial-wave analysis of two-hadron fragmentation functions

Abstract

We reconsider the option of extracting the transversity distribution by using interference fragmentation functions into two leading hadrons inside the same current jet. To this end, we perform a new study of two-hadron fragmentation functions. We derive new positivity bounds on them. We expand the hadron pair system in relative partial waves, so that we can naturally incorporate in a unified formalism specific cases already studied in the literature, such as the fragmentation functions arising from the interference between the s- and p-wave production of two mesons, as well as the production of a spin-one hadron. In particular, our analysis clearly distinguishes two different ways to access the transversity distribution in two-hadron semi-inclusive leptoproduction.

23 pages, 3 figures

References in corpus (10)

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• Positivity bounds on spin-one distribution and fragmentation functions
• Next-to-leading order QCD evolution of transversity fragmentation functions
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Cited by in corpus (57)

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• First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
• Observation of transverse polarization asymmetries of charged pion pairs in e+e- annihilation near sqrt s=10.58 GeV
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• Transverse spin effects in hadron-pair production from semi-inclusive deep inelastic scattering
• Two-hadron semi-inclusive production including subleading twist
• First extraction of Interference Fragmentation Functions from e+e- data
• Evidence for a Transverse Single-Spin Asymmetry in Leptoproduction of pi+pi- Pairs
• A high-statistics measurement of transverse spin effects in dihadron production from muon-proton semi-inclusive deep-inelastic scattering
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• Interference fragmentation functions in electron-positron annihilation
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Evolution equations for extended dihadron fragmentation functions
• Asymmetries involving dihadron fragmentation functions: from DIS to e+e- annihilation
• Dihadron interference fragmentation functions in proton-proton collisions
• Transverse spin effects in hard semi-inclusive collisions
• Longitudinal Spin Transfer to the $\Lambda$ Hyperon in Semi-Inclusive Deep-Inelastic Scattering
• Exploring universality of transversity in proton-proton collisions
• Production of two hadrons in semi-inclusive Deep Inelatic Scattering
• Constrained fit of the valence transversity distributions from dihadron production
• 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
• Monte Carlo simulation of events with Drell-Yan lepton pairs from antiproton-proton collisions: the fully polarized case
• Observation of Beam Spin Asymmetries in the Process $ep\to e{\pi }^{+}{\pi }^{-}X$ with CLAS12
• Accessing the nucleon transverse structure in inclusive deep inelastic scattering
• Semi-inclusive production of two back-to-back hadron pairs in $e^{+}{e}^{-}$ annihilation revisited
• Invariant-mass and fractional-energy dependence of inclusive production of di-hadrons in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=$ 10.58 GeV
• Di-hadron fragmentation and mapping of the nucleon structure
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Transversity from two pion interference fragmentation
• Accessing Quark Helicity through Dihadron Studies
• Beam spin asymmetry in semi-inclusive electroproduction of a hadron pair
• 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
• Realistic estimate of valence transversity distributions from inclusive dihadron production
• Double spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Analogies between hadron-in-jet and dihadron fragmentation
• Detecting correlated di-hadron pairs: about the extraction of transversity and beyond
• Single spin asymmetry $A_{UL}^{\sin ({\varphi }_h-{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Dihadron fragmentation framework for near-side energy-energy correlators
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Transverse Spin Structure of the Nucleon from COMPASS
• Single spin asymmetry $A_{UL}^{\sin (2{\varphi }_h-2{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Dihadron Fragmentation Functions and Transversity
• Transverse Spin Physics at COMPASS
• Dihadron fragmentation functions and their relevance for transverse spin studies
• Transversity Signal in two Hadron Pair Production in COMPASS
• Transversity Measurements at COMPASS
• The hadron pair forward-backward asymmetry in the electron positron annihilation process
• Beam Spin Asymmetries of ${\pi }^{+}{\pi }^0$ Dihadrons from SIDIS at CLAS12
• Spin Physics at COMPASS
• Transverse Spin Effects at COMPASS
• Handedness Correlation from Quark Polarization