Equation 12.23.5FE92C82454E6

\begin{equation} \mathrm{d}\Xi _{\rm down}=(m s^{m-1}+O(s^ m))\, \mathrm{d} s,\qquad \mathrm{d}\Xi _{\rm up}=\left(\frac{m}{2^ m-1}+O(s)\right)\mathrm{d} s. \end{equation}