The analysis of a combined data set, totaling 3.6 times 10^14 stopped muons on target, in the search for the lepton flavour violating decay mu^+ -> e^+ gamma is presented. The data collected by the MEG experiment at the Paul Scherrer Institut show no excess of events compared to background expectations and yield a new upper limit on the branching ratio of this decay of 5.7 times 10^-13 (90% confidence level). This represents a four times more stringent limit than the previous world best limit set by MEG.
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