Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions

Abstract

We demonstrate that spontaneous transverse polarization of Lambda baryon ($\Lambda$) production in $e^{+}{e}^{-}$ annihilation can be described using the transverse momentum dependent polarizing fragmentation functions (TMD PFFs). Using a simple Gaussian model, we perform an extraction of the TMD PFFs by fitting the BELLE collaboration's recent measurement of the $\Lambda$ transverse polarization in back-to-back $\Lambda +h$ production in $e^{+}{e}^{-}$ collisions, $e^{-}+e^{+}\to {\Lambda }^{\uparrow }+h+X$. We find that this simple model accurately describes the experimental data for $\Lambda$ production associated with pions and kaons, and we are able to determine TMD PFFs for different quark flavors. We use these newly extracted TMD PFFs to make predictions for the transverse polarization of $\Lambda$ produced in semi-inclusive deep inelastic scattering at a future electron-ion collider, and find that such a polarization is around $10\%$ and should be measurable.

arXiv comment9 pages, 7 figures, updated fit and improved text

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Cited by in corpus (30)

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• Polarized jet fragmentation functions
• TMD Fragmentation Functions at N${}^3$LO
• Spin asymmetries in electron-jet production at the future electron ion collider
• Transverse Lambda production at the future Electron-Ion Collider
• Isospin Symmetry of Fragmentation Functions
• Transverse $\Lambda$ Polarization in $e^{+}{e}^{-}$ collisions
• Joint thrust and TMD resummation in electron-positron and electron-proton collisions
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• First global QCD analysis of the TMD ${\mathbf{g}}_{1\mathbf{T}}$ from semi-inclusive DIS data
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Probing the longitudinal spin transfer via dihadron polarization correlations in unpolarized $e^{+}{e}^{-}$ and $pp$ collisions
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Dihadron helicity correlation in photon-nucleus collisions
• Suppression of Spin Transfer to $\Lambda$ Hyperon in Deep-Inelastic Scattering
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
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• Accessing Polarized Fragmentation Functions at the Unpolarized EIC and BELLE Experiments
• Twist-3 Gluon Fragmentation Contribution to Hyperon Polarization in Semi-Inclusive Deep Inelastic Scattering