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 for the Higgs field. It seems the Higgs mass may come from the coupling between the thermal energy relative to Hawking temperature of the Planck scale Kerr black hole and the thermal energy of cosmological microwave background. By a logarithm potential, we can naturally get the exact quartic term for the Lagrangian. The Higgs mass and the vacuum expectation value we get are proportional to the square root of the temperature of the cosmological thermal background, which may mean they shall be larger in the earlier universe. Future gravitational wave detection may help to check this model. If the model could prove to be true, it will have important influence on our understanding of the cosmology.