Power amplitudes of the terms entering the expression of σ_{Jup − G}(k) (Eq B.8). The orange dashed line shows the power amplitude of the cross-term $({\mathrm{b}}_{\mathrm{eff}}{\mathrm{B}}_{\nu }^{{\mathrm{J}}_{\mathrm{up}}}){\mathrm{P}}_{\mathrm{matter}}^{3\mathrm{D}}$. The green dashed line shows the white noise power amplitude integrated over the k-range 0.1-0.35 Mpc⁻¹. In contrast, the blue solid line shows the white noise power amplitude integrated up to k_max defined in Eq. B.15. Overall, the condition ${\mathrm{P}}_{\mathrm{noise}}>>({\mathrm{b}}_{\mathrm{eff}}{\mathrm{B}}_{\nu }^{{\mathrm{J}}_{\mathrm{up}}}){\mathrm{P}}_{\mathrm{matter}}^{3\mathrm{D}}$ is verified, but when restricting the integral to the smallest accessible scale in the radial direction, P_noiseP_G exceeds the cross-term P_Jup × G only by a factor of a few.