Rubber-containing styrene polymers with improved impact strength

The invention relates to thermoplastic moulding materials containing, in relation to the moulding material, A) 5 to 80 wt. % of at least one rubber phase consisting of a rubber-elastic polymer having a glass transition temperature Tg of 0 DEG C or below, and B) 20 to 95 wt. % of at least one hard phase produced separately from A), consisting of a styrene homopolymer or a styrene copolymer having low polydispersity and a polydispersity index PDI