Szafron, Robert2016-05-172016-05-172016-05-12https://hdl.handle.net/11299/180349Recently, progress has been achieved in the theory​ of the​ bound muon decay​. ​Bound states of heavy quarks share many properties with muonic atoms. QCD methods developed to describe semi-leptonic decays of heavy quarks can be applied to QED systems involving muons. Moreover, the muon decay spectrum and the wave function are known analytically. I will show how these techniques can be used to calculate the electron spectrum in the decay of a bound muon, at the leading order and with dominant radiative corrections. In my talk I will present recent results for ​a ​muon bound ​with an aluminum nucleus, the planned target in muon-electron conversion searches.enFTPIQCDPresentation