<p>The arguably most promising avenue towards testing physics beyond the Standard Model in the anomalous magnetic moment of the <i>τ</i> proceeds via suitably constructed asymmetries in <i>e</i>⁺<i>e</i>^<i>−</i> → <i>τ</i>⁺<i>τ</i>⁻ in the presence of a polarized electron beam. Such a program, as could be realized at Belle II assuming a polarization upgrade of the SuperKEKB <i>e</i>⁺<i>e</i>⁻ collider, crucially relies on a careful consideration of radiative corrections. In this work, we present the complete one-loop result for the fully polarized <i>e</i>⁺<i>e</i>^<i>−</i> → <i>τ</i>⁺<i>τ</i>⁻ process and its implementation in the Monte-Carlo integrator M<span>c</span>M<span>ule</span>. As an application, we discuss projections relevant for measurements at Belle II, both with and without electron polarization, and outline the necessary steps for a generalization to next-to-next-to-leading order.</p>