Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\ge 5$ Supergravities

We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in $\mathcal{N}\ge 5$ supergravities. The relevant chiral superinvariants are constructed from linearized chiral superfields and define the corresponding superamplitudes. The anomalous amplitudes, of the kind present in $\mathcal{N}=4$, are shown to be absent in $\mathcal{N}\ge 5$. In $\mathcal{N}=6$ supergravity the result is deduced from the double-copy $\mathcal{N}=4_{YM}\times (\mathcal{N}=2{)}_{YM}$ model, whereas in $\mathcal{N}=5,8$ the result on absence of anomalous amplitudes is derived in supergravities as well as in the $($\mathcal{N}$=4){YM} \times ($\mathcal{N}$-4){YM}$ double-copy models.