The cos 2 ϕ h Asymmetry in K ± Mesons and the Λ-Hyperon-Produced SIDIS Process at Electron Ion Colliders.

We investigate the cos 2 ϕ h azimuthal asymmetry contributed by the coupling of the Boer–Mulders function and the Collins function in K ± - and Λ -hyperon-produced SIDIS process. The asymmetry is studied under the transverse-momentum-dependent (TMD) factorization framework at the leading order by considering the TMD evolution effects that utilize the parametrization for non-perturbative Sudakov form factors. The DGLAP evolution effects of the collinear counterpart of the Collins function of the final-state hadrons are considered by introducing the approximated evolution kernels. We utilize the available parametrization for the proton Boer–Mulders function and the Collins function of K ± . For the Collins function of the Λ hyperon, the result of the diquark spectator model is adopted due to the absence of parametrization. The numerical results of the cos 2 ϕ h azimuthal asymmetry are obtained in the kinematic regions of EIC and EicC. It can be shown that the asymmetry is much smaller than the Sivers asymmetry, which means that the convolution of the Boer–Mulders function and the Collins function may not be the main contributor to the cos 2 ϕ h asymmetry. We emphasize the importance of future measurement of the cos 2 ϕ h asymmetry to unravel different contributors. [ABSTRACT FROM AUTHOR]