Composition comprising at least one specific alkoxysilane polymer

A cosmetic composition comprising:

• at least one keratin fiber conditioning agent;
• and
• at least one polymer of formula (I) below:
• wherein:
• Z1 is a divalent group —CH2-T- or -T-CH2—;
• wherein T is chosen from oxygen, sulfur, and N(R2), N(R2)—C(O), C(O)—N(R2), S—(CO), (CO)—S, O—(CO) and (CO)—O groups;
• Z2 is chosen from OR1 and R8—CH2—NR3R4;
• Z3 is chosen from OR5 and R6;
• p1 is equal to 1;
• p2 is equal to 0 or 1;
• R2 and R3, which may be identical or different, are chosen from hydrogen and R7;
• R1, R5, R6, R7 and R8, which may be identical or different, are chosen from C1-C6 alkyl groups;
• R4 is chosen from C1-C6 alkyl groups and C5-C6 cycloalkyl groups;
• R3 and R4 may optionally form, together with the nitrogen atom that bears them, a 5- to 8-membered heterocycle comprising from 1 to 3 heteroatoms;
• and
• W is a divalent polymer chain.

A device comprising:

• a first compartment containing a composition comprising:
• at least one keratin fiber conditioning agent;
• and
• at least one polymer of formula (I) below:
• wherein:
• Z1 is a divalent group —CH2-T- or -T-CH2—;
• wherein T is chosen from oxygen, sulfur, and N(R2), N(R2)—C(O), C(O)—N(R2), S—(CO), (CO)—S, O—(CO) and (CO)—O groups;
• Z2 is chosen from OR1 and R8—CH2—NR3R4;
• Z3 is chosen from OR5 and R6;
• p1 is equal to 1;
• p2 is equal to 00 or 1;
• R2 and R3, which may be identical or different, are chosen from hydrogen and R7;
• R1, R5, R6, R7 and R8, which may be identical or different, are chosen from C1-C6 alkyl groups;
• R4 is chosen from C1-C6 alkyl groups and C5-C6 cycloalkyl groups;
• R3 and R4 may optionally form, together with the nitrogen atom that bears them, a 5- to 8-membered heterocycle comprising from 1 to 3 heteroatoms;
• and
• W is a divalent polymer chain;
• and
• a second compartment containing a composition comprising at least one catalyst chosen from organic or mineral basic compounds, organic or mineral acids, alkoxysilane monomers, and mixtures thereof.

A process for the cosmetic treatment of keratin fibers, comprising:

• (a) applying to the keratin fibers a cosmetic composition comprising:
• at least one keratin fiber conditioning agent;
• and
• at least one polymer of formula (I) below:
• wherein:
• Z1 is a divalent group —CH2-T- or -T-CH2—;
• wherein T is chosen from oxygen, sulfur, and N(R2), N(R2)—C(O), C(O)—N(R2), S—(CO), (CO)—S, O—(CO) and (CO)—O groups;
• Z2 is chosen from OR1 and R8—CH2—NR3R4;
• Z3 is chosen from OR5 and R6;
• p1 is equal to 1;
• p2 is equal to 0 or 1;
• R2 and R3, which may be identical or different, are chosen from hydrogen and R7;
• R1, R5, R6, R7 and R8, which may be identical or different, are chosen from C1-C6 alkyl groups;
• R4 is chosen from C1-C6 alkyl groups and C5-C6 cycloalkyl groups;
• R3 and R4 may optionally form, together with the nitrogen atom that bears them, a 5- to 8-membered heterocycle comprising from 1 to 3 heteroatoms;
• and
• W is a divalent polymer chain;
• and
• (b) optionally applying to the keratin fibers at least one catalyst chosen from organic or mineral basic compounds, organic or mineral acids, alkoxysilane monomers, and mixtures thereof,
• wherein the at least one catalyst is applied before, after or at the same time as the cosmetic composition.