PSF E-mode and E₅ cross-power spectrum. Top panel: cross-angular power spectra between PSF E-mode component and E₅ with the α-correction from Giblin et al. (2021) applied to the PSF ellipticities. Bottom panel: signal-to-noise ratio as defined by Eq. (B.1), showing that the largest S/N multipole bandwidth has S/N ∼ −2.5 × 10⁻², meaning that it is well within the estimated covariance for our analysis.