We discuss the sensitivity of the $\gamma\gamma \to \tau^+\tau^-$ process in ultraperipheral Pb+Pb collisions at LHC energies on the anomalous magnetic moment of $\tau$ lepton ($a_\tau$). We derive the corresponding cross sections considering semi-leptonic decays of both leptons in the fiducial volume of ATLAS and CMS detectors. The expected limits on $a_\tau$ with the existing Pb+Pb dataset are found to be better by a factor of two comparing to current best experimental limits and can be further improved by another factor of two at High Luminosity LHC. In addition, our results for tau lepton electric dipole moment, $d_\tau$, can be competitive with the current best limits that were obtained by the Belle experiment.
Comment: Submission to SciPost, XXVIII International Workshop on Deep-Inelastic Scattering and Related Subjects, 12-16 April 2021, presented by Mariola Klusek-Gawenda