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The mass of the Higgs boson is measured in the $H \rightarrow ZZ^*\rightarrow 4\ell$ decay channel. The analysis uses proton-proton collisiondata from the Large Hadron Collider at a centre-of-mass energy of 13 TeVrecorded by the ATLAS detector between 2015 and 2018, corresponding to anintegrated luminosity of 139 fb$^{-1}$. The measured value of the Higgs bosonmass is $124.99\pm0.18\text{(stat.)}\pm0.04\text{(syst.)}$ GeV and is based onimproved momentum-scale calibration for muons relative to previouspublications. The measurement also employs an analytic model that takes intoaccount the invariant-mass resolution of the four-lepton system on a per-eventbasis and the output of a deep neural network discriminating signal frombackground events. This measurement is combined with the correspondingmeasurement using 7 and 8 TeV $pp$ collision data, resulting in a Higgs bosonmass measurement of $124.94\pm0.17\text{(stat.)}\pm0.03\text{(syst.)}$ GeV.

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Measurement of the Higgs boson mass in the $H \rightarrow ZZ^*  \rightarrow 4\ell$ decay channel using 139 fb$^{-1}$ of $\sqrt{s}=13$ TeV  $pp$ collisions recorded by the ATLAS detector at the LHC