The Polarised $\Lambda$ production in QCD

Abstract

The $Q^2$ evolution of polarised parton fragmentation functions is discussed using Altarelli-Parisi evolution equations. The first moments of both polarised quark and gluon fragmentation functions are shown to behave in a similar fashion at very high energies. This analysis is applicable to any hard processes involving production of polarised hadrons. The polarised $\Lambda$ hyperon production in $e^{+}{e}^{-}$ annihilation where this can be realised is considered. We present a complete ${\alpha }_s(Q^2)$ corrections to the asymmetries discussed in the paper of Burkardt and Jaffe which demonstrates the extraction of various polarised fragmentation functions. To this order, these corrections are found to be scheme dependent similar to that of structure functions.

20 pages, 3 figures available on request

References in corpus (4)

• The theory and phenomenology of polarized deep inelastic scattering
• Next-to-Leading Order Fragmentation Functions for Pions and Kaons
• Polarized $q\to \Lambda$ Fragmentation Functions from $e^{+}{e}^{-}\to \Lambda +X^{\ast }$
• Spin-dependent structure functions ${\hat{g}}_1$ and ${\hat{g}}_2$ for inclusive spin-half baryon production in electron-positron annihilation

Cited by in corpus (8)

• QCD Analysis of Unpolarized and Polarized Lambda - Baryon Production in Leading and Next-to-Leading Order
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• Vector meson's spin alignments in high energy reactions
• An SU(3) model for octet baryon and meson fragmentation
• Energy dependence of hadron polarization in $e^{+}{e}^{-}\to hX$ at high energies
• QCD corrections up to order alpha_s^2 to polarized quark production in e^+ e^- -annihilation
• O(α_s^2) contributions to the fragmentation function g_1(x,Q^2) in polarized e^+e^- annihilation
• The forward-backward asymmetry in the electron positron annihilation process at twist-4