Calibrated GRB Hubble diagram at high redshift using the L_b, z − T_b, z correlation (left-hand panel) and the L_b, z − T_b, z − E_p, i correlation (right-hand panel) with SNe Ia, X-ray, and optical samples. The black and green points represent X-ray and optical samples, respectively. Blue points are SNe Ia from the Pantheon sample. The solid red line corresponds to the theoretical distance modulus calculated for a flat ΛCDM model with H₀ = 67.36 km s⁻¹ Mpc⁻¹ and Ω_m = 0.315.