Manifestation of $s\to \Lambda$ fragmentation matrix elements via transverse $\Lambda$ polarization in unpolarized $e^{-}{e}^{+}$ annihilation

Abstract

Making use of the collinear expansion technique developed by Ellis, Furmanski and Petrozio, and the special propagator concept invented by Qiu, we present a factorization approach to the photon fragmentation tensor for the inclusive Lambda hyperon production. As a result, the structure function $\tilde{F}$, which is related to the transverse polarization of the inclusive Lambda hyperon in unpolarized electron-positron annihilation, is expressed as a combination of four parton fragmentation matrix elements. Since the inclusive $\Lambda$ production we considered is theoretically the simplest, our study can be taken as a question to the operatability and practability of the first nonleading QCD factorization theorem in the transverse $\Lambda$ polarization phenomena.

RevTex, 12 pages, typos corrected

References in corpus (5)

• Novel Quark Fragmentation Functions and the Nucleon's Transversity Distribution
• Polarized $q\to \Lambda$ Fragmentation Functions from $e^{+}{e}^{-}\to \Lambda +X^{\ast }$
• Chiral-Odd and Spin-Dependent Quark Fragmentation Functions and their Applications
• Probing Quark Fragmentation Functions for Spin-1/2 Baryon Production in Unpolarized $e^{+}{e}^{-}$ Annihilation
• Novel Structure Function for Photon Fragmentation into a $\Lambda$ Hyperon and Transverse $\Lambda$ Polarization in Unpolarized Electron-Positron Annihilation

Cited by in corpus (3)

• Single spin asymmetries from a gluonic background in the Drell-Yan process
• Transverse Lambda polarization in semi-inclusive DIS
• Polarization in ${\Xi }_c^0$ decays