Hair dyeing process comprising a phosphonic ethylenic polymer and a pigment The invention relates to a process for dyeing hair comprising at least one pigment and at least one phosphonic polymer derived from the polymerization of: (a) 45% to 95% by weight of ethylenic monomer bearing an at least Cs linear or branched alkyl group; (b) 5% to 25% by weight of vinylphosphonic acid monomer; (c) 0 to 50% by weight of additional monomer chosen from: (i) linear or branched C1-C6 alkyl (meth)acrylate or C6-C12 cycloalkyl (meth)acrylate non-silicone monomers; (ii) specific polydimethylsiloxane silicone monomers bearing a mono(meth)acryloyloxy end group.