= Peak-height calibration from an exponential mass-function cutoff
{title2=$\sigma(M,z)=\frac{\delta_{\rm sc}}{\sqrt2}(M/M_{h,\rm ch})^{-\beta}$}
Defining characteristic mass by an exponential factor $\exp[-(M/M_{h,\rm ch})^{2\beta}]$ fixes its peak height to $\nu=\sqrt2$, rather than one. Hence $\sigma(M_{h,\rm ch},z)=\delta_{\rm sc}/\sqrt2$ and the variance at other masses follows the same power-law scaling. The precise characteristic-mass convention determines this factor.
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