Sensitivity parameter and time variations of fundamental constants

The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that the problems of the sensitivity parameter are almost identical to the consequences we have to solve if the time-varying fine structure constant is proved to be true. The high sensitivity of the energy scale parameter Λ to the dimensionless coupling constant plays an important role in these problems. It affects the reliability of the sensitivity parameter via mechanisms such as dynamical symmetry breaking, chiral symmetry breaking, etc. The reliability of the sensitivity parameter can be improved if it is used properly.