Silica-containing rubber mixture produced from at least one rubber, one sulphur-containing alkoxysilane, one crosslinking agent, one filler, and optionally further rubber auxiliary products, characterized in that this mixture comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of a polysulphide additive of the formula A-S- x -S-B where x is 0, 1, 2, 3 or 4, A is a moiety and B is a moiety where R 1 to R 4 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -Cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, and R 6 to R 7 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5,-COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 1 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and y and z independently of one another are 0, 1 or 2, or A and B independently of one another are one of the radicals in which R 1 and R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6). R 1 to R 4 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -Cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, and R 6 to R 7 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, -CH 2 -CH 2 -OR 5, -NHR 5, -COR 5,-COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 1 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl and y and z independently of one another are 0, 1 or 2, or A and B independently of one another are one of the radicals in which R 1 and R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6). in which R 1 and R 2 are identical or different and are hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or a group -CH 2 -OR 5, CH 2 -CH 2 -OR 5, -NHR 5, -COR 5, -COOR 5, -CH 2 COOR 5, where R 5 = hydrogen, C 1 -C 6 -alkyl, C 5 -C 6 -cycloalkyl, C 6 -C 10 -aryl or C 1 -C 6 -acyl, and comprises from 0.1 to 15 parts by weight, based on 100 parts by weight of rubber used, of 1,6-bis(N,N-dibenzylthiocarbamoyldithio)hexane (CAS No.: 151900-44-6).