Correlation coefficients matrix (upper-right triangle) and scatter plot (bottom-left triangle) of power-law log-residuals of Euclid-data (lensing concentration, lensing mass, richness, and stellar mass, respectively) and possible outcomes from multi-wavelength observations (integrated Compton-y parameter, gas mass, X-ray luminosity, and temperature, respectively). Cell colouring goes from blue (negative correlation coefficients) to red (positive correlation coefficients) and is white in the interval [ − 0.35, 0.35] in order to enhance the visibility of the most significant coefficients.