Coherent soft-hard evolution with event activity in pp collisions at s=0.9, 2.76 and 7 TeV

Multiplicity-differential transverse-momentum spectra of [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] produced in [Formula: see text] collisions at [Formula: see text], [Formula: see text], and [Formula: see text] TeV are analyzed in event-activity classes characterized by the mean charged-particle multiplicity [Formula: see text]. The spectra are fitted with two widely used phenomenological descriptions: (i) a thermodynamically consistent Tsallis form a