Gluon fragmentation function in polarised Λ hyperon production: The Method of Factorisation

1996/06/07 by V. Ravindran, Ravindran, V.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9606272

15 pages, 3 figures available on request

arxiv created 1996/06/07 · openalex publication_date 1996/06/07 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We discuss the polarised fragmentation functions of quarks and gluons in Perturbative Quantum Chromodynamics. The Altarelli-Parisi evolution equations governing these fragmentation functions are presented. We find that the first moment of the polarised gluon fragmentation function to order α_s is as important as that of the quark and anti-quark fragmentation functions. The Λ production in polarised e⁺ e^- annihilation where this can be realised is discussed. We propose the factorisation method to compute the gluonic contribution to Λ production to order α_s. With appropriate operator definitions for the quark and the gluon fragmentation functions, we find that the hard part of the factorisation formula is free of any infrared singularities confirming the factorisation.

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