General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach

Abstract

We present the complete leading-order results for the azimuthal dependences and polarization observables in $e^{+}{e}^{-}\to h_1{h}_2+X$ processes, where the two hadrons are produced almost back-to-back, within a transverse momentum dependent (TMD) factorization scheme. We consider spinless (or unpolarized) and spin-1/2 hadron production and give the full set of the corresponding quark and gluon TMD fragmentation functions (TMD-FFs). By adopting the helicity formalism, which allows for a more direct probabilistic interpretation, single- and double-polarization cases are discussed in detail. Simplified expressions, useful for phenomenological analyses, are obtained by assuming a factorized Gaussian-like dependence on intrinsic transverse momenta for the TMD-FFs.

46 pages, 2 figures

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Cited by in corpus (11)

• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• Dihadron helicity correlation in photon-nucleus collisions
• Extracting the $\Lambda$ Polarizing Fragmentation Function from Belle $e^{+}{e}^{-}$ Data Within the TMD Formalism
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• General Helicity Formalism for Two-hadron Production in $e^{+}{e}^{-}$ Collisions and the $\Lambda$ Polarizing Fragmentation Function
• Accessing Polarized Fragmentation Functions at the Unpolarized EIC and BELLE Experiments
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust