Transverse Λ polarization in e+e- collisions

Gamberg, Leonard; Kang, Zhong-Bo; Shao, Ding Yu; Terry, John; Zhao, Fanyi

doi:10.1016/j.physletb.2021.136371

Title: Transverse Λ polarization in e⁺e^- collisions

Journal Article · Tue May 18 00:00:00 EDT 2021 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2021.136371· OSTI ID:1849735

^[1];

^[2];

^[3]; Terry, John ^[4]; Zhao, Fanyi ^[4]

Pennsylvania State Univ., Reading, PA (United States). Division of Science
Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy and Mani L. Bhaumik Inst. for Theoretical Physics; Stony Brook Univ., NY (United States). Center for Frontiers in nuclear Science
Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy and Mani L. Bhaumik Inst. for Theoretical Physics; Stony Brook Univ., NY (United States). Center for Frontiers in nuclear Science; Fudan Univ., Shanghai (China). Dept. of Physics. Center for Field Theory and Particle Physics; Fudan Univ., Shanghai (China). Key Lab. of Nuclear Physics and Ion-beam Application (MOE)
Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy and Mani L. Bhaumik Inst. for Theoretical Physics

In this paper we study transverse polarization of Λ hyperons in single-inclusive leptonic annihilation. We show that when the transverse momentum of the Λ baryon is measured with respect to the thrust axis, a transverse momentum dependent (TMD) factorization formalism is required and the polarization is generated by the TMD polarizing fragmentation function (TMD PFF), $$D_1^{T\perp}$$. However, when the transverse momentum of the Λ baryon is measured with respect to the momentum of the initial leptons, a collinear twist-3 formalism is required and the polarization is generated by the intrinsic collinear twist-3 fragmentation function $$D_T$$. Thus while these measurements differ from one another only by a change in the measurement axis, they probe different distribution functions. Recently, Belle measured a significant polarization in single-inclusive Λ baryon production as a function of the transverse momentum with respect to the thrust axis. However, this data can in principle be re-analyzed to measure the polarization as a function of the transverse momentum of the Λ baryon with respect to the lepton pair. This observable could be the first significant probe of the function, $$D_T$$. In this paper, we first develop a TMD formalism for Λ polarization; we then present a recent twist-3 formalism that was established to describe Λ polarization. Using the TMD formalism, we demonstrate that the Λ polarization at OPAL and Belle can be described using the twist-2 TMD factorization formalism. Finally, we make a theoretical prediction for this polarization in the collinear twist-3 formalism at Belle.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States); Penn State University Berks, Reading, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-07ER41460

OSTI ID:: 1849735

Alternate ID(s):: OSTI ID: 1905840

Journal Information:: Physics Letters. B, Vol. 818, Issue C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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