The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization
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Regular Article - Experimental Physics
The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization Shi-Chen Xue1, Xiaoyu Wang1,a , De-Min Li1,b , Zhun Lu2,c 1 2
School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, Henan, China School of Physics, Southeast University, Nanjing 211189, China
Received: 16 March 2020 / Accepted: 18 July 2020 © The Author(s) 2020
Abstract We apply the transverse momentum dependent factorization formalism to investigate the transverse single spin dependent Collins asymmetry with a sin(φh + φs ) modulation in the semi-inclusive production of Kaon meson in deep inelastic scattering process. The asymmetry is contributed by the convolutions of the transversity distribution function h 1 (x) of the target proton and the Collins function of the Kaon in the final state. We adopt the available parametrization of h 1 (x) as well as the recent extracted result for the Kaon Collins function. To perform the transverse momentum dependent evolution, the parametrization of the nonperturbative Sudakov form factor of the proton and final state Kaon are utilized. We numerically predict the Collins asymmetry for charged Kaon production at the electron ion colliders within the accuracy of next-to-leading-logarithmic order. It is found that the asymmetry is sizable and could be measured. We emphasize the importance of planned electron ion colliders in the aspect of constraining sea quark distribution functions as well as accessing the information of the nucleon spin structure and the hadronization mechanism.
1 Introduction Understanding the 3-dimensional partonic structure of the spin-1/2 nucleon has been an active subject in quantum chromodynamics (QCD) spin physics and hadronic physics. Various spin asymmetries in high energy scattering processes, such as the semi-inclusive deep inelastic scattering (SIDIS) [1], Drell-Yan [2], and electron-positron annihilation processes, have been recognized as useful tools to explore the internal structure of the nucleon. In the kinematic region where the measured transverse momentum PhT of the proa e-mail:
[email protected] (corresponding author)
b e-mail:
[email protected]
c e-mail:
[email protected]
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duced hadron is much smaller than the invariant mass Q of the virtual photon (PhT Q), a convenient theoretical approach to study these processes is the transverse momentum dependent (TMD) factorization formalism, in which the differential cross section of SIDIS may be expressed as the convolution of the hard scattering factors, the TMD parton distribution functions (PDFs), and TMD fragmentation functions (FFs). The transversity h 1 (x) is one of the eight TMD PDFs encoding the partonic structure of hadrons at leadingtwist level [3]. It describes the transverse polarization of the quark inside a transversely polarized nucleon, thereby it is one of the fundamental observables manifesting the nucleon structure. However, compared to the unpolarized distribution and the
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