MODIFIED POLYMETHYLHYDROSILOXANE, TERMINAL MODIFIED CONJUGATED DIENE-VINYL AROMATIC HYDROCARBON COPOLYMER AND SYNTHESIS METHOD FOR WHICH, RUBBER COMPOSITION AND TIRE

A modified polymethylhydrosiloxane, a terminal modified conjugated diene-vinyl aromatic hydrocarbon copolymer and a synthesis method for which, a rubber composition and a tire are provided. The modified polymethylhydrosiloxane includes a compound represented by a formula (1). E is a moiety containing an epoxide group. T is a moiety containing an alkoxysilylalkyl group. A is selected from the group consisting of hydrogen, a moiety containing an alkyl group and a moiety containing an amino group. B is a moiety containing an aryl group. G is a moiety containing an ethyleneoxy group and an alkoxy group. J is a moiety containing an ethyleneoxy group and a hydroxyl group. e=5-45. t=1-4. a+b+g+j is equal to 1 to 595.