Order ${\alpha }_s(Q^2)$ QCD corrections to the polarised $e^{+}{e}^{-}\to \Lambda X$

Abstract

The importance of polarised gluons fragmenting into $\Lambda$ in the polarised $e^{+}{e}^{-}$ annihilation is discussed using the Altarelli-Parisi evolution equations satisfied by the quark and gluon fragmentation functions. In this context, the polarised fragmentaion function ${\hat{g}}_1^{\Lambda }(x,Q^2)$ appearing in the cross section is discussed within the parton model. We relate this fragmentation function to the quark, anti-quark and gluon fragmentation functions and also find the QCD corrections to order ${\alpha }_s$.

14 pages Latex, 3 figures available on request

References in corpus (4)

• The theory and phenomenology of polarized deep inelastic scattering
• Polarized $q\to \Lambda$ Fragmentation Functions from $e^{+}{e}^{-}\to \Lambda +X^{\ast }$
• Novel Structure Function for Photon Fragmentation into a $\Lambda$ Hyperon and Transverse $\Lambda$ Polarization in Unpolarized Electron-Positron Annihilation
• 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 (6)

• QCD Analysis of Unpolarized and Polarized Lambda - Baryon Production in Leading and Next-to-Leading Order
• Vector meson's spin alignments in high energy reactions
• 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