2015/01/31 by Valerio Bertone, Stefano Carrazza, Emanuele R. Nocera · 1 citation
Computer Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Benchmark (surveying) #Factorization #Fragmentation (computing) #Order (exchange) #Particle physics theoretical and experimental studies #Quantum #Quantum Computing Algorithms and Architecture #Time evolution #hep-ph
paper · pdf · doi:10.1007/jhep03(2015)046
28 pages, 5 figures, 36 tables. Final version, matches published version in JHEP. Program available from http://apfel.hepforge.org/
openalex publication_date 2015/03/01 · arxiv created 2015/03/10 · arxiv updated 2015/03/12 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05
We present high-precision numerical results for time-like Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution in the MS factorisation scheme, for the first time up to next-to-next-to-leading 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 time-like 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 time-like 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 future.