  We present NNFF1.1h, a new determination of unidentified charged-hadron
fragmentation functions (FFs) and their uncertainties. Experimental
measurements of transverse-momentum distributions for charged-hadron production
in proton-(anti)proton collisions at the Tevatron and at the LHC are used to
constrain a set of FFs originally determined from electron-positron
annihilation data. Our analysis is performed at next-to-leading order in
perturbative quantum chromodynamics. We find that the hadron-collider data is
consistent with the electron-positron data and that it significantly constrains
the gluon FF. We verify the reliability of our results upon our choice of the
kinematic cut in the hadron transverse momentum applied to the hadron-collider
data and their consistency with NNFF1.0, our previous determination of the FFs
of charged pions, kaons, and protons/antiprotons.
