Spin correlations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math> -lepton pair production due to anomalous magnetic and electric dipole moments

We present a simple algorithm for the calculation of event weights embedding effects anomalous electric and magnetic dipole moments in simulation ${e}^{\ensuremath{-}}{e}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{\ensuremath{-}}{\ensuremath{\tau}}^{+}(n\ensuremath{\gamma})$ events, subsequent decay $\ensuremath{\tau}$-leptons produced. The impact these on spin-correlation matrix total cross section is taken into account. prepared to work situ Monte Carlo kkmc program without need introducing any external change generator libraries. As an example, ${e}^{\ensuremath{-}}{e}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{\ensuremath{-}}{\ensuremath{\tau}}^{+}(n\ensuremath{\gamma})$, ${\ensuremath{\tau}}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{\ensuremath{-}}{\ensuremath{\nu}}_{\ensuremath{\tau}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}{\ensuremath{\nu}}_{\ensuremath{\tau}}$, ${\ensuremath{\tau}}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{+}{\overline{\ensuremath{\nu}}}_{\ensuremath{\tau}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}{\overline{\ensuremath{\nu}}}_{\ensuremath{\tau}}$ events were simulated at center-of-mass energy 10.58 GeV. distributions acoplanarity angle between planes spanned by ${\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}$ momenta of, respectively, ${\ensuremath{\rho}}^{\ensuremath{-}}$ ${\ensuremath{\rho}}^{+}$ decays rest frame entirely visible ${\ensuremath{\rho}}^{\ensuremath{-}}{\ensuremath{\rho}}^{+}$ system are presented different values coupling constants incorporating ${\ensuremath{\tau}}^{\ensuremath{-}}{\ensuremath{\tau}}^{+}\ensuremath{\gamma}$ vertex.