N-space tools for hard-scattering analyses (2004)

• The code (tarred and gezipped) and the manual hep-ph/0408244 = Comput. Phys. Commun. 170 (2005) 65-92 (.ps and .pdf files) of the package QCD-PEGASUS for the evolution of unpolarized and polarized parton distributions of hadrons.

• A factor UNS2(1,...) was missing in the quantity AFI1 for the truncated NNLO non-singlet evolution in the routine ens2n.f. Here is the corrected file for the Routines/ subdirectory. Reported by A. Piccione, Genova (2006).
• Some arguments of EBETA were not explicitly complexified in the input files inplmom2.f and inppmom2.f, causing trouble with some compilers. Moreover, input coefficients were mistyped in the former routine in the momentum fraction ADV. All this is corrected in the routines linked here. Reported by C. Schuck, Dortmund, and G. Salme, Rome (2008).
• The routine for the Euler Beta function used a first-argument inflection which did not work properly for almost all (but not the benchmark) inputs, causing significant errors at very large x. Here is a corrected routine which actually is also faster by not using the inflection formula at all. Found in collaboration with S. Brensing, Aachen (2010).
• The first argument in CALL EVNFFN in the routine nparton.f was misspelled, causing the fixed-N evolution to crash in fixed flavour-number mode. This is corrected in the file linked above. Reported by G. Ferrera, Milano (2017).

The complex-N approach can be employed for the general hard-scattering case, where the coefficient functions are not analytically known, see the first application in hep-ph/9506333 (Z. Phys. C70 (1996) 77-82) and the improved implementation of Stratmann and Vogelsang, hep-ph/0107064 = Phys. Rev. D64 (2001) 114007.

Benchmark tables for the parton evolution (2002, 2005)

• An early study was performed during the 1995/6 HERA workshop, see hep-ph/9609400.
• The definitive benchmark tables for the LO and `iterated' NLO solutions in the unpolarized case are in the report of the QCD/SM working group of the 2001 Les Houches Workshop, here is the relevant section of hep-ph/0204316
• The extension to the polarized LO and NLO and the (final) unpolarized NNLO evolution has been presented in the proceedings of the 2004/5 HERA/LHC workshop, as a section of hep-ph/0511119