  Using Wilsonian renormalization, we calculate the quantum correction to
observable quantities, rather than the bare parameters, of the Higgs field. A
physical parameter, such as a mass-squared or a quartic coupling, at an energy
scale $\mu$ is obtained from that at a reference scale by integrating in the
degrees of freedom in between. In this process, heavy modes decouple and the
ultraviolet scale dependence is canceled in the observables. An exact
renormalization group equation is parametrized by the low-energy scale $\mu$.
