Measurement of the tau anomalous magnetic moment using Ultra-peripheral collisions with the ALICE detector in Run 3 Pb-Pb data

The anomalous magnetic moment of the tau lepton ($a_τ$) is a sensitive probe for the search for deviations from the Standard Model predictions and thus for new physics. This study investigates the feasibility of measuring $a_τ$ using ultra-peripheral collisions (UPCs) at the LHC, where photon-photon interactions ($γγ\to τ^+ τ^-$) produce tau lepton pairs. We focus on events recorded by the ALICE detector during Run 3 Pb-Pb data-taking. Events are selected in the decay channel where one tau decays into an electron and neutrinos, and the other decays into a charged pion, or three charged pions, and neutrinos. These samples are enhanced with decays into muons, which are inseparable in the ALICE detector. The clean environment of UPCs minimizes hadronic background, while the advanced particle identification capabilities of the ALICE Time Projection Chamber (TPC) and Time-of-Flight (TOF) systems allow for efficient separation of electrons, pions, and background particles. In this talk, prospects for measuring this process by ALICE in Run 3, which benefits from high statistics and improved systematics uncertainties, will be discussed. Results will provide tighter constraints on $a_τ$, contributing to the broader effort to test the Standard Model's robustness and explore physics beyond it.