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This Letter reports the observation of $\tau$-lepton pair production inultraperipheral lead-lead collisions, $\text{Pb+Pb} \to \text{Pb}(\gamma\gamma\to \tau\tau)\text{Pb}$, and constraints on the $\tau$-lepton anomalousmagnetic moment, $a_\tau$. The dataset corresponds to an integrated luminosityof 1.44 nb$^{-1}$ of LHC Pb+Pb collisions at $\sqrt{s_{_\text{NN}}} = 5.02$ TeVrecorded by the ATLAS experiment in 2018. Selected events contain one muon froma $\tau$-lepton decay, an electron or charged-particle track(s) from the other$\tau$-lepton decay, little additional central-detector activity, and noforward neutrons. The $\gamma\gamma \to \tau\tau$ process is observed in Pb+Pbcollisions with a significance exceeding 5 standard deviations, and a signalstrength of $\mu_{\tau\tau} = 1.03^{+0.06}_{-0.05}$ assuming the Standard Modelvalue for $a_\tau$. To measure $a_\tau$, a template fit to the muontransverse-momentum distribution from $\tau$-lepton candidates is performed,using a dimuon ($\gamma\gamma \to \mu\mu$) control sample to constrainsystematic uncertainties. The observed 95% confidence-level interval for$a_\tau$ is $-0.057 < a_\tau < 0.024$.

physical review letters

Observation of the $\gamma\gamma\to\tau\tau$ process in Pb+Pb collisions  and constraints on the $\tau$-lepton anomalous magnetic moment with the ATLAS  detector