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The MEG II experiment, based at the Paul Scherrer Institut in Switzerland,reports the result of a search for the decay $\mu^+\to e^+\gamma$ from datataken in the first physics run in 2021. No excess of events over the expectedbackground is observed, yielding an upper limit on the branching ratio ofB($\mu^+\to e^+\gamma$) < $7.5 \times 10^{-13}$ (90% C.L.). The combination ofthis result and the limit obtained by MEG gives B($\mu^+\to e^+\gamma$) < $3.1\times 10^{-13}$ (90% C.L.), which is the most stringent limit to date. Aten-fold larger sample of data is being collected during the years 2022-2023,and data-taking will continue in the coming years.

A search for $\mu^+\to e^+\gamma$ with the first dataset of the MEG II experiment