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The first search for the rare radiative decay $\Xi_b^- \to \Xi^- \gamma$ isperformed using data collected by the LHCb experiment in proton-protoncollisions at a center-of-mass energy of 13 TeV, corresponding to an integratedluminosity of 5.4 fb$^{-1}$. The $\Xi_b- \to \Xi^- J/\psi$ channel is used asnormalization. No $\Xi_b^- \to \Xi^- \gamma$ signal is found and an upper limitof $\mathcal{B}(\Xi_b^- \to \Xi^- \gamma) < 1.3 \times 10^{-4}$ at 95%confidence level is obtained.

Search for the radiative $\Xi_b^-\to\Xi^-\gamma$ decay