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We compute the N$^3$LO gravitational quadratic-in-spin interactions at $G^4$ in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time.
1901
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V. A. Smirnov, Feynman integral calculus . Springer, Berlin, Germany, 2006
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M. Punturo et al., The Einstein Telescope: A third-generation gravitational wave observatory , Class. Quant. Grav. 27
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Korean Gravitational Wave Group
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