Comparison of theoretical prediction (orange dashed line) for ℛ(△₁₂₃) using perturbation theory at LO against the direct measurement (blue solid line) from the halo catalogs of the Quijote suite of simulation is shown in the top panel. While the residual showing the deviation of the theoretical prediction from the direct measurement from the simulations is shown in the bottom panel. The blue shaded region denotes the 5% region. The triangle configuration go from the smallest being {(40, 45),(40, 45),(40, 45)} h⁻¹ Mpc to the largest which corresponds to {(115, 120),(115, 120),(115, 120)} h⁻¹ Mpc. The vertical dashed lines correspond to a change (increase) in the value of r₁₂ bin in △₁₂₃.