Provided herein are asphalt compositions comprising asphalt, a carboxylated copolymer, a polyalkyleneimine, and a photoinitiator. The carboxylated copolymer present in the asphalt compositions can be a latex composition derived from a carboxylated styrene-butadiene copolymer. The carboxylated copolymer includes from 0.5% to 25% by weight carboxylic acid monomers. The carboxylated styrene-butadiene polymer and the asphalt can be present in a weight ratio of from 1:99 to 1:10. The polyalkyleneimine present in the asphalt compositions can be in an amount of greater than 0% to up to 10% by weight of the asphalt composition. The photoinitiator can include benzophenone and/or a derivative thereof. Tack coats meeting ASTM-D-977 standard comprising the asphalt compositions disclosed herein are also provided. The tack coat can have a tack-free time of 10 minutes or less. Methods of producing the asphalt compositions and tack coats are also disclosed.