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The sensitivity parameter is widely used for quantifying fine tuning.However, examples show it fails to give correct results under certaincircumstances. We argue that these problems only occur when calculating thesensitivity of a dimensionful mass parameter at one energy scale to thevariation of a dimensionless coupling constant at another energy scale. Thus,by mechanisms such as dynamical symmetry breaking etc, the high sensitivity ofthe energy scale parameter (\Lambda) to the dimensionless coupling constant canaffect the reliability of the sensitivity parameter through the renormalizationinvariant factor of the dimensionful parameter. Theoretically, These phenomenaare similar to the problems associated with the time-varying coupling constantdiscovered recently. We argue that, the reliability of the sensitivityparameter can be improved if it is used properly.

Problems of the Sensitivity Parameter and Its Relation to the Time-varying Fundamental Couplings Problems