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Measurements of the production of muons from heavy-flavour hadron decays inPb$-$Pb collisions at $\sqrt{s_{\rm NN}}$ = $5.02$ and $2.76$ TeV using theALICE detector at the LHC are reported. The nuclear modification factor $R_{\rmAA}$ at $\sqrt{s_{\rm NN}}$ = 5.02 TeV is measured at forward rapidity ($2.5 <y <4$) as a function of transverse momentum $p_{\rm T}$ in central,semi-central, and peripheral collisions over a wide $p_{\rm T}$ interval, $3 <p_{\rm T} < 20$ GeV/$c$, in which muons from beauty-hadron decays are expectedto take over from charm as the dominant source at high $p_{\rm T}$ ($p_{\rm T}> 7$ GeV/$c$). The $R_{\rm AA}$ shows an increase of the suppression of theyields of muons from heavy-flavour hadron decays with increasing centrality. Asuppression by a factor of about three is observed in the $10\%$ most centralcollisions. The $R_{\rm AA}$ at $\sqrt{s_{\rm NN}}$ = 5.02 is similar to thatat 2.76 TeV. The precise $R_{\rm AA}$ measurements have the potential todistinguish between model predictions implementing different mechanisms ofparton energy loss in the high-density medium formed in heavy-ion collisions.They place important constraints for the understanding of the heavy-quarkinteraction with the hot and dense QCD medium.

Production of muons from heavy-flavour hadron decays at high transverse momentum in Pb-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ and 2.76 TeV