Branched polysiloxanes and use of these

A process for producing branched polysiloxanes having olefinically unsaturated groups and having SiH groups, comprising reacting

• one or more silanes or siloxanes which have one or more SiH functions and which have no olefinically unsaturated hydrocarbon moieties,
• one or more silanes or siloxanes which have one or more olefinically unsaturated hydrocarbon moieties, one or more Sill function-free siloxanes having no olefinically unsaturated hydrocarbon moieties,
• one or more tetraalkoxysilanes, and/or
• one or more trialkoxysilanes,
• where all of the silanes used for each of said components have alkoxy groups, with addition of water and in the presence of at least one Brönstedt-acid catalyst, and wherein said branched polysiloxanes are of formula (I)
• Ma1MHa2MVia3Db1DHb2DVib3Tc1THc2TVic3Qd (I)
• wherein
• M=[R2R12SiO1/2],
• MH=[R12HSiO1/2],
• M=[R3R12SiO1/2],
• D=[R12SiO2/2],
• DH=[R1HSiO2/2],
• DVi=[R1R3SiO2/2],
• T=[R4SiO3/2],
• TH=[HSiO3/2],
• TVi=[R3SiO3/2],
• Q=[SiO4/2],
• R1 is mutually independently identical or different, linear or branched, saturated or unsaturated hydrocarbon moieties,
• R2 is mutually independently the same as R1, an alkoxy moiety or a hydroxy group,
• R3 is mutually independently identical or different, linear or branched, olefinically unsaturated hydrocarbon moieties comprising terminal bonds,
• R4 is mutually independently R1 or identical or different linear, branched and/or cyclic, saturated or unsaturated hydrocarbon moieties comprising heteroatoms,
• a1=from 0 to 50,
• a2=from 1 to 50,
• a3=from 1 to 50,
• b1=from 10 to 5000,
• b2=from 0 to 30,
• b3=from 0 to 30,
• c1=from 0 to 50,
• c2=from 0 to 50,
• c3=from 0 to 50,
• d=from 4 to 10.

A curable single-component silicone composition comprising at least a polysiloxane of formula (I)

• Ma1MHa2MVia3Db1DHb2DVib3Tc1THc2TVic3Qd (I)
• wherein
• M=[R2R12SiO1/2],
• MH=[R12HSiO1/2],
• MVi=[R3R12SiO1/2],
• D=[R12SiO2/2],
• DH=[R1HSiO2/2],
• DVi=[R1R3SiO2/2],
• T=[R4SiO3/2],
• TH=[HSiO3/2],
• TVi=[R3SiO3/2],
• Q=[SiO4/2],
• R1 is mutually independently identical or different, linear or branched, saturated or unsaturated hydrocarbon moieties,
• R2 is mutually independently the same as R1, an alkoxy moiety or a hydroxy group,
• R3 is mutually independently identical or different, linear or branched, olefinically unsaturated hydrocarbon moieties comprising terminal bonds,
• R4 is mutually independently R1 or identical or different linear, branched and/or cyclic, saturated or unsaturated hydrocarbon moieties comprising heteroatoms,
• a1=from 0 to 50,
• a2=from 1 to 50,
• a3=from 1 to 50,
• b1=from 10 to 5000,
• b2=from 0 to 30,
• b3=from 0 to 30,
• c1=from 0 to 50,
• c2=from 0 to 50,
• c3=from 0 to 50,
• d=from 4 to 10.