Comparison between the detectability of a variation in M_ν and σ₈ from the halo 3PCF as a function of triangle shape. We show the results for the simulations at z = 0 with M_ν = 0.1 eV and fiducial σ₈ = 0.834 (red scale color maps), and with M_ν = 0 eV and σ₈ = 0.849 (upper blue scale color map) and σ₈ = 0.819 (lower blue scale color map). The top and bottom pairs of plots refer to the connected and reduced 3PCF, respectively. Triangle shapes are identified by the side ratios s₁₂/s₂₃ and s₁₃/s₂₃, with s₁₂ ≤ s₁₃ ≤ s₂₃, as shown in Fig. 4. In each plot, a given shape bin shows the absolute value of the detectability, averaged over all triangles available in the all-scales approach with that shape and different sizes. We present the results obtained by considering triangles on scales 30 h⁻¹ Mpc < s₂₃ < 70 h⁻¹ Mpc for ζ, and 70 h⁻¹ Mpc < s₂₃ < 110 h⁻¹ Mpc for Q.