Absence of U(1) anomalous superamplitudes in N≥5 supergravities

We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N≥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 N=4, are shown to be absent in N≥5. In N=6 supergravity the result is deduced from the double-copy (N=4)_YM×(N=2)_YM model, whereas in N=5,8 the result on absence of anomalous amplitudes is derived in supergravities as well as in the (N=4)_YM×(N−4)_YM double-copy models.