HIGHLIGHTS
SUMMARY
Taking into account the pole term and the finite term beyond the pole, the authors find that the contributions from dimensional regularization in the radiative moment exactly cancel out at this order. This proves that at 3PN order the quadrupole moment can be computed using the Hadamard regularization for the IR divergences (but the dimensional regularization for the UV) and, therefore, the authors totally confirm the previous calculations of the 3PN quadrupole moment. The authors prove that the same cancellation holds for the 3PN current quadrupole moment, thus supporting the recent computation of this . . .
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