Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode (2, 1) (constituting a 3.5PN correction in the waveform). Moreover, at this occasion, (iii) we recompute and confirm the previous calculation of the mass-type octupole moment to 3PN order. The ultra-violet divergences due to the point-like nature of the source are treated by means of dimensional regularization. This entails generalizing the definition of the irreducible mass and current multipole moments of an isolated PN source in d spatial dimensions. In particular, we find that the current type moment has the symmetry of a particular mixed Young tableau and that, in addition, there appears a third type of moment which is however inexistent in 3 spatial dimensions.

直到第三个后牛顿 (3PN) 阶，我们计算 (i)（非自旋）紧凑双星系统的电流型四极矩，以及 (ii) 相应的引力波模式 (2, 1) （构成波形中的 3.5PN 校正）。此外，在这种情况下，（iii）我们重新计算并确认先前对 3PN 阶的质量型八极矩的计算。由于光源的点状性质引起的紫外线发散通过尺寸正则化处理。这需要概括d 中孤立 PN 源的不可约质量和电流多极矩的定义空间维度。特别是，我们发现当前类型矩具有特定混合杨氏画面的对称性，此外，还出现了第三种类型的矩，但在 3 个空间维度中不存在。