= Potential slow-roll flow equations
{title2=$d\epsilon_V/d\log k=4\epsilon_V^2-2\epsilon_V\eta_V,\quad d\eta_V/d\log k=2\epsilon_V\eta_V-\xi_V^2$}
At horizon exit during single-field <slow-roll inflation>, $d/d\log k\simeq-M_{\mathrm{Pl}}^2(V'/V)d/d\Phi$. Applying this operator to the <potential slow-roll parameter> and the <second potential slow-roll parameter> yields the displayed leading-order flow equations. Corrections to the horizon-exit derivative contribute only at higher slow-roll order here.
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