Disclosed are sulfur-crosslinkable rubber mixtures that can be incorporated into treads of vehicle tires, and vehicle tires comprising the disclosed sulfur-crosslinkable rubber mixtures. The rubber mixtures comprise: at least one diene rubber, at least one silica, at least one hydrocarbon resin, and 1 to 40 phr of at least one liquid polybutadiene having terminal organosilicon modification and having a weight-average molecular weight Mw by GPC of 500 to 12 000 g/mol.