Order $α_s(Q^2)$ QCD corrections to the polarised $e^+~e^- \to Λ~X$

Physics – High Energy Physics – High Energy Physics - Phenomenology

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14 pages Latex, 3 figures available on request

Scientific paper

10.1016/S0370-2693(97)00142-1

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 $\alpha_s$.

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