= Wilsonian rescaling of a scalar coupling
{c}
{title2=$\kappa^\prime=(\kappa+\Delta\kappa)b^{m+n(d-2)/2-d}/(1+\Delta Z)^{n/2}$}
After shell integration and $x^\prime=bx$, restore the <kinetic term> by $\phi^\prime=b^{-(d-2)/2}\sqrt{1+\Delta Z}\,\phi$. An operator with $n$ scalar fields and $m$ derivatives scales by $b^{m+n(d-2)/2-d}$. In four dimensions this gives the displayed factor with $m+n-4$; the general exponent is $m+n(d-2)/2-d$. The coupling shift and <wavefunction renormalization> arise before the rescaling.
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