Abstract
We recently derived explicit solutions of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the evolution of the singlet structure function and the gluon distribution using very efficient Laplace transform techniques. We apply our results here to a study of the HERA data on deep inelastic scattering as recently combined by the H1 and ZEUS groups. We use initial distributions and determined for by a global fit to the HERA data, and extended to using the shapes of those distributions determined in the CTEQ6L and MSTW2008LO analyses from fits to other data. Our final results are insensitive at small to the details of the extension. We obtain the singlet quark distribution from using small nonsinglet quark distributions taken from either the CTEQ6L or the MSTW2008LO analyses, evolve and to arbitrary , and then convert the results to individual quark distributions. Finally, we show directly from a study of systematic trends in a comparison of the evolved with the HERA data that the assumption of leading-order DGLAP evolution is inconsistent with those data.
- Received 4 August 2011
DOI:https://doi.org/10.1103/PhysRevD.84.094010
© 2011 American Physical Society