Higgs physics is an active front from both experimental and theoretical aspects. It is a problem how to explain the measured value of Higgs mass, and a simple question like where the quartic coupling potential exactly comes from could not be well answered. This paper described a simple model to calculate the Higgs mass. It seems the Higgs mass may come from the coupling between Hawking energy of the Planck scale Kerr black hole and the thermal energy of cosmological microwave background. And by a logarithm potential, we can naturally get the exact quartic term for the Lagrangian. The Higgs mass we get is proportional to the square root of the temperature of the cosmological thermal background, which may mean it shall be larger at earlier universe.
Tianyang Xia (Tue,) studied this question.