$\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC

Abstract

We investigate the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ single-spin asymmetry in the transversely polarized $\Lambda$ production in semi-inclusive deeply inelastic scattering process within the framework of the transverse momentum dependent~(TMD) factorization. The asymmetry is contributed by the convolution of the polarizing TMD fragmentation function $D_{1T}^{\perp }$ of the $\Lambda$ hyperon and the unpolarized TMD distribution function $f_1$ of the target nucleon. We apply two sets of $D_{1T}^{\perp ,{\Lambda }^{\uparrow }/q}$, the spectator diquark model result and available parametrization, to numerically estimate the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry at the kinematical region of electron ion collider (EIC). We take into account the TMD evolution effect in order to include the scale dependence of the TMD distribution functions and fragmentation functions. It is found that different sets of $D_{1T}^{\perp ,{\Lambda }^{\uparrow }/q}$ lead to different $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry, particularly in sign. Future measurements on the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry with high precision at EIC can provide important cross check on the available $\Lambda$ polarizing fragmentation functions as well as constrain them more stringently.

11 pages, 2 figures. arXiv admin note: text overlap with arXiv:2009.07193

References in corpus (17)

• New parton distributions for collider physics
• QCDNUM: Fast QCD Evolution and Convolution
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Dilepton production from polarized hadron hadron collisions
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Collins Fragmentation and the Single Transverse Spin Asymmetry
• Angular dependences in inclusive two-hadron production at BELLE
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
• QCD evolution of naive-time-reversal-odd fragmentation functions
• First extraction of the $\Lambda$ polarising fragmentation function from Belle $e^{+}{e}^{-}$ data
• Leading and higher twist contributions in semi-inclusive e+e- annihilation at high energies
• Isospin Symmetry of Fragmentation Functions
• Transverse momentum spectrum of dilepton pair in the unpolarized ${\pi }^{-}N$ Drell-Yan process within TMD factorization
• Single-spin asymmetries in the leptoproduction of transversely polarized $\Lambda$ hyperons
• Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model
• The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization

Cited by in corpus (3)

• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect