We present a comprehensive investigation into the anomalous magnetic dipole moment (a_τ) and electric dipole moment (d_τ) of the τ lepton using the γγ τ^+τ^- process at future lepton colliders, with the Super Tau-Charm Facility serving as a benchmark. By employing transverse-momentum-dependent factorization, we introduce novel observables derived from 2ϕ, 2ϕ, and 4ϕ azimuthal asymmetries to precisely probe the τ lepton's electromagnetic structure. Our analysis significantly enhances the precision of a_τ constraints, yielding Re (a_τ) -4. 5, 6. 9 10^-3 at 2σ confidence level. This represents an order-of-magnitude improvement over existing experimental limits and approaches the precision of the Standard Model prediction. These findings highlight the considerable potential of azimuthal asymmetry measurements for high-precision determinations of fundamental particle properties at future lepton colliders.
Shao et al. (Wed,) studied this question.