Mixture comprising a) from 5 to 95% by weight of a copolymer A which comprises one or more copolymer blocks (B/S) A each composed of from 65 to 95% by weight of vinylaromatic monomers and from 35 to 5% by weight of dienes and of a glass transition temperature Tg A determined according to description in the range from 40° to 90°C, b) from 95 to 5% by weight of a block copolymer B which comprises at least one hard block S composed of from 95 to 100% by weight of vinylaromatic monomers and of from 0 to 5% by weight of dienes, and comprises one or more copolymer blocks (B/S) A each composed of from 65 to 95% by weight of vinylaromatic monomers and of from 35 to 5% by weight of dienes and of a glass transition temperature Tg A in the range from 40° to 90°C, and comprises one or more copolymer blocks (B/S) B each composed of from 20 to 60% by weight of vinylaromatic monomers and of from 80 to 40% by weight of dienes and of a glass transition temperature Tg B in the range from -80° to 0°C, c) from 0 to 45% by weight of thermoplastic polymers C other than A and B, and d) from 0 to 6% by weight of processing aids D, where the entirety of A to D gives 100% by weight; • the number-average molar mass M n determined according to description of the hard blocks S of the block copolymer B is in the range from 5000 to 30 000 g/mol; • the block copolymer B has a star-shaped structure having terminal hard blocks S e and (B/S) A, and the proportion of the entirety of all of the hard blocks S and (B/S) A is at least 40% by weight, based on the entire star-shaped block copolymer B; and • the star of the star-shaped block copolymer B has in essence short branches of structure S e -(B/S) B and long branches of structure (B/S) A -S i -(B/S) B, linked by way of the soft blocks (B/S) B. a) from 5 to 95% by weight of a copolymer A which comprises one or more copolymer blocks (B/S) A each composed of from 65 to 95% by weight of vinylaromatic monomers and from 35 to 5% by weight of dienes and of a glass transition temperature Tg A determined according to description in the range from 40° to 90°C, b) from 95 to 5% by weight of a block copolymer B which comprises at least one hard block S composed of from 95 to 100% by weight of vinylaromatic monomers and of from 0 to 5% by weight of dienes, and comprises one or more copolymer blocks (B/S) A each composed of from 65 to 95% by weight of vinylaromatic monomers and of from 35 to 5% by weight of dienes and of a glass transition temperature Tg A in the range from 40° to 90°C, and comprises one or more copolymer blocks (B/S) B each composed of from 20 to 60% by weight of vinylaromatic monomers and of from 80 to 40% by weight of dienes and of a glass transition temperature Tg B in the range from -80° to 0°C, c) from 0 to 45% by weight of thermoplastic polymers C other than A and B, and d) from 0 to 6% by weight of processing aids D, where the entirety of A to D gives 100% by weight; • the number-average molar mass M n determined according to description of the hard blocks S of the block copolymer B is in the range from 5000 to 30 000 g/mol; • the block copolymer B has a star-shaped structure having terminal hard blocks S e and (B/S) A, and the proportion of the entirety of all of the hard blocks S and (B/S) A is at least 40% by weight, based on the entire star-shaped block copolymer B; and • the star of the star-shaped block copolymer B has in essence short branches of structure S e -(B/S) B and long branches of structure (B/S) A -S i -(B/S) B, linked by way of the soft blocks (B/S) B. • the number-average molar mass M n determined according to description of the hard blocks S of the block copolymer B is in the range from 5000 to 30 000 g/mol; • the block copolymer B has a star-shaped structure having terminal hard blocks S e and (B/S) A, and the proportion of the entirety of all of the hard blocks S and (B/S) A is at least 40% by weight, based on the entire star-shaped block copolymer B; and • the star of the star-shaped block copolymer B has in essence short branches of structure S e -(B/S) B and long branches of structure (B/S) A -S i -(B/S) B, linked by way of the soft blocks (B/S) B.