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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1007/s11270-007-9483-0

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1029-8479

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Reference results for timelike evolution up to

Authors: Valerio Bertone Stefano Carrazza Emanuele R Nocera
Publish Date: 2015/03/10
Volume: 2015, Issue: 3, Pages: 46-
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Abstract

We present highprecision numerical results for timelike DokshitzerGribovLipatovAltarelliParisi evolution in the overlinemathrmMS factorisation scheme for the first time up to nexttonexttoleading order accuracy in quantum chromodynamics First we scrutinise the analytical expressions of the splitting functions available in the literature in both x and N space and check their mutual consistency Second we implement timelike evolution in two publicly available entirely independent and conceptually different numerical codes in x and N space respectively the already existing APFEL code which has been updated with timelike evolution and the new MELA code which has been specifically developed to perform the study in this work Third by means of a model for fragmentation functions we provide results for the evolution in different factorisation schemes for different ratios between renormalisation and factorisation scales and at different final scales Our results are collected in the format of benchmark tables which could be used as a reference for global determinations of fragmentation functions in the futureThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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