English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The next-to-next-to-leading order spin-squared interaction potential forgeneric compact binaries is derived for the first time via the effective fieldtheory for gravitating spinning objects in the post-Newtonian scheme. Thespin-squared sector is an intricate one, as it requires the consideration ofthe point particle action beyond minimal coupling, and mainly involves thespin-squared worldline couplings, which are quite complex, compared to theworldline couplings from the minimal coupling part of the action. This sectoralso involves the linear in spin couplings, as we go up in the nonlinearity ofthe interaction, and in the loop order. Hence, there is an excessive increasein the number of Feynman diagrams, of which more are higher loop ones. Weprovide all the Feynman diagrams and their values. The beneficialnonrelativistic gravitational fields are employed in the computation. Thisspin-squared correction, which enters at the fourth post-Newtonian order forrapidly rotating compact objects, completes the conservative sector up to thefourth post-Newtonian accuracy. The robustness of the effective field theoryfor gravitating spinning objects is shown here once again, as demonstrated in arecent series of papers by the authors, which obtained all spin dependentsectors, required up to the fourth post-Newtonian accuracy. The effective fieldtheory of spinning objects allows to directly obtain the equations of motion,and the Hamiltonians, and these will be derived for the potential obtained herein a forthcoming paper.

Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme