Let us assume that the standard model is correct up to Planck mass, without supersymmetry or other changes. (Yes, this is a big assumption.) If we continue the running of quark masses with energy, due to renormalization, what are the mass values we get for the six quarks at Planck energy?
I am especially interested in understanding whether the sequence of mass values remains the same also at Planck energy, or whether some quarks "catch" up with others, such as up and down quarks. Any literature on this issue would also be very welcome.