AKK update: Improvements from new theoretical input and experimental data

We perform a number of improvements to the previous AKK extraction of fragmentation functions for π±π±, K±K±, p/p¯, KS0 and Λ/Λ¯ particles at next-to-leading order. Inclusive hadron production measurements from pp(p¯) reactions at BRAHMS, CDF, PHENIX and STAR are added to the data sample. We use the charge-sign asymmetry of the produced hadrons in pp   reactions to constrain the valence quark fragmentations. Data from e+e−e+e− reactions in regions of smaller x   and lower s are added. Hadron mass effects are treated for all observables and, for each particle, the hadron mass used for the description of the e+e−e+e− reaction is fitted. The baryons' fitted masses are found to be only around 1% above their true masses, while the values of the mesons' fitted masses have the correct order of magnitude. Large x   resummation is applied in the coefficient functions of the e+e−e+e− reactions, and also in the evolution of the fragmentation functions, which in most cases results in a significant reduction of the minimized χ2χ2. To further exploit the data, all published normalization errors are incorporated via a correlation matrix.