Soft Theorems, Anomalies and Precursors

We find that in 6d maximal supergravity there are 3-loop order amplitudes with non-vanishing soft-scalar limits and anomalous $E_{5(5)}$ duality, induced by a 3-loop UV divergence. If the relevant non-vanishing soft-scalar limits would be detected in 1-loop amplitudes, it would be a 1-loop precursor of a 3-loop UV divergence in 6d.