https://doi.org/10.1140/epjc/s10052-021-09064-1
Regular Article – Theoretical Physics
The transverse polarization of 
hyperons in 
processes within TMD factorization
1
School of Physics, Southeast University, 211189, Nanjing, China
2
School of Physics and Microelectronics, Zhengzhou University, 450001, Zhengzhou, China
3
College of Physics, Qingdao University, 266071, Qingdao, China
Received:
18
September
2020
Accepted:
15
March
2021
Published online:
5
April
2021
We investigate the transverse polarization of the hyperon in the processes 
and 
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) 
of the lambda hyperon and the unpolarized fragmentation function 
of pion/kaon. We adopt the spectator diquark model result for 
to numerically estimate the transverse polarization in 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 , pion and kaon. It is found that our prediction on the polarization in the 
production and 
is consistent with the recent Belle measurement in size and sign, while the model predictions on the polarizations in 
and 
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.
© The Author(s) 2021
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