Anomalous electromagnetic moments of $\tau$ lepton in $\gamma \gamma \to {\tau }^{+}{\tau }^{-}$ reaction in Pb+Pb collisions at the LHC

Abstract

We discuss the sensitivity of the $\gamma \gamma \to {\tau }^{+}{\tau }^{-}$ process in ultraperipheral Pb+Pb collisions on the anomalous magnetic ($a_{\tau }$) and electric ($d_{\tau }$) moments of $\tau$ lepton at LHC energies. We derive the corresponding cross sections by folding the elementary cross section with the heavy-ion photon fluxes and considering semi-leptonic decays of both $\tau$ leptons in the fiducial volume of ATLAS and CMS detectors. We present predictions for total and differential cross sections, and for the ratios to $\gamma \gamma \to e^{+}{e}^{-}({\mu }^{+}{\mu }^{-}$) process. These ratios allow to cancel theoretical and experimental uncertainties when performing precision measurement of $a_{\tau }$ at the LHC. The expected limits on $a_{\tau }$ with 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.

18 pages, 10 figures, the second version contains a study of the spin correlation effect

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