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Next-to-leading order corrections to multiplicities
Institution:1. UCL School of Pharmacy, 29-39 Brunswick Square, London, UK;2. Colorcon Inc., Global Headquarters, 275 Ruth Road, Harleysville, PA 19438, USA;1. The Dow Chemical Company, Midland, MI 48674, USA;2. The Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, UK;1. Hospital Universitario Dexeus, Quirón Salud, Barcelona, Spain;2. Unidad de Investigación, Sociedad Española de Reumatología, Spain;3. Hospital Universitario Ramón y Cajal y Hospitales HM, Madrid, Spain;4. Hospital Clínic Provincial, Barcelona, Spain;5. Hospital Universitario Puerta de Hierro, Majadahonda, Madrid, Spain;6. Hospital Vall d’Hebrón, Barcelona, Spain
Abstract:It is desirable to develop a systematic and practical method in perturbative QCD to analyze the semi-hard processes in the fragmentation of jets. In this paper, an integral equation with angular ordering is introduced to analyze the multiplicities of hadrons in high-energy jet productions. In order to demonstrate how the method works, the method is applied in the next-to-leading order to the energy dependence of the multiplicity and to the ratio of multiplicities in a gluon jet and in a quark jet. The results agree with the calculations done by Mueller by a different method.
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