Weight bound conjecture for momentum-space Feynman amplitudes

Let $G$ be a Feynman graph with $h$ loops, let $d\in 2\mathbb{N}$ be the space-time dimension, and let $\omega_G$ be the integrand of its Feynman amplitude. Let $\omega^{\mathrm{gen}}_{dR}W_{dh}\operatorname{mot}_G$ denote the indicated de Rham realization of the weight-$dh$ part of the graph motive.

Weight bound conjecture. The amplitude integrand satisfies

$$\omega_G\in\omega^{\mathrm{gen}}_{dR}W_{dh}\operatorname{mot}_G.$$

This gives a bound on the weights of amplitudes, rather than of general Feynman periods, which may have higher weights. Together with the stability conjecture, the source says it would imply that the amplitude is a regularised period of motic descendants of degree at most $dh$.