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The μ → eγ decay is strictly forbidden in the Standard Model, where the lepton flavour is conserved as an accidental symmetry, but in extensions of the Standard Model the lepton flavour is generally no longer conserved, so that decay can take place. In this paper we calculate the amplitude, in an Rg gauge, of muon decay in the small-neutrino-mass limit. The result, in which ξ-dependence is cancelled, is different from the amplitude and the technical points obtained in previous work. PACS Nos.: 13.35.Bv, 14.60.St, 12.60.-i, 12.15.-y. La disintegration μ → eγ est strictement interdite dans le modele standard, a cause d'une symetrie accidentelle ou la saveur leptonique est conservee. Cependant, les extensions du modele standard generalement ne conservent pas la saveur leptonique et cette disintegration du muon peut se produire. Nous en calculons l'amplitude dans un modele en jauge Rg de desintegration du muon dans la limite ou la masse du neutrino est tres basse. Le resultat final montre des differences avec celui d'un travail anterieur en ce qui concerne la suppression de la dependance en g de l'amplitude et les points techniques. [Traduit par la Redaction], 1. Introduction The properties of the neutrino, and in particular the question of its mass, have intrigued physicists ever since the particle was proposed [1, 2]. Researchers have searched for [...]