mu-e conversion in nuclei versus mu-->e gamma: an effective field theory point of view
Abstract
Using an effective lagrangian description we analyze possible new physics contributions to the most relevant muon number violating processes: mu-->e gamma and mu-e conversion in nuclei. We identify a general class of models in which those processes are generated at one loop level and in which mu-e conversion is enhanced with respect to mu-->e gamma by a large ln(m^2_\mu/\Lambda^2), where \Lambda is the scale responsible for the new physics. For this wide class of models bounds on mu-e conversion constrain the scale of new physics more stringently than mu-->e gamma already at present and, with the expected improvements in mu-e conversion experiments, will push it upwards by about one order of magnitude more. To illustrate this general result we give an explicit model containing a doubly charged scalar and derive new bounds on its couplings to the leptons.Keywords
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