Sketch of the K-estimator, representing the relative geometry that probe the one- and two-halo term scales. The empty blue and filled red cylinders, delimited by |a₂| = 7 h⁻¹ Mpc and |a₃| = 45 h⁻¹ Mpc respectively, illustrate the line-of-sight distance Z_ij intervals within which we count galaxy pairs at fixed transverse separations R_ij, represented by nested cylinders. Pairs of LAEs connected with green lines within the same DMH (filled gray circle) contribute to the one-halo term (small R_ij scales), while pairs belonging to two different DMHs (yellow lines) probe the two-halo term (larger R_ij separations).