The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization

Abstract

We investigate the transverse polarization of the $\Lambda$ hyperon in the processes $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }{\pi }^{\pm }X$ and $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }{K}^{\pm }X$ within the framework of the transverse momentum dependent~(TMD) factorization. The transverse polarization is contributed by the convolution of the transversely polarizing fragmentation function~(PFF) $D_{1T}^{\perp }$ of the lambda hyperon and the unpolarized fragmentation function $D_1$ of pion/kaon. We adopt the spectator diquark model result for $D_{1T}^{\perp }$ to numerically estimate the transverse polarization in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ process at the kinematical region of Belle Collaboration. To implement the TMD evolution formalism of the fragmentation functions, we apply two different parametrizations on the nonperturbative Sudakov form factors associated with the fragmentation functions of the $\Lambda$, pion and kaon. It is found that our prediction on the polarization in the $\Lambda {\pi }^{+}$ production and $\bar{\Lambda }{\pi }^{-}$ is consistent with the recent Belle measurement in size and sign, while the model predictions on the polarizations in $\Lambda {\pi }^{-}$ and $\Lambda K^{\pm }$ productions show strong disagreement with the Belle data. The reason for the discrepancies is discussed and possible approaches to improve the calculation in the future are also discussed.

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Cited by in corpus (8)

• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Probing the longitudinal spin transfer via dihadron polarization correlations in unpolarized $e^{+}{e}^{-}$ and $pp$ collisions
• Observation of $\Lambda$ hyperon local polarization in pPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 8.16 TeV
• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
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• Measurement of transverse polarization of $\Lambda$ and $\bar{\Lambda }$ hyperons inside jets in $pp$ collisions at $\sqrt{s}=200$ GeV