N3LO gravitational quadratic-in-spin interactions at G 4
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N3LO gravitational quadratic-in-spin interactions at G 4. / Levi, Michèle; McLeod, Andrew J.; von Hippel, Matthew.
I: Journal of High Energy Physics, Bind 2021, Nr. 7, 116, 07.2021.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - N3LO gravitational quadratic-in-spin interactions at G 4
AU - Levi, Michèle
AU - McLeod, Andrew J.
AU - von Hippel, Matthew
N1 - Publisher Copyright: © 2021, The Author(s).
PY - 2021/7
Y1 - 2021/7
N2 - We compute the N3LO gravitational quadratic-in-spin interactions at G4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.
AB - We compute the N3LO gravitational quadratic-in-spin interactions at G4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.
KW - Classical Theories of Gravity
KW - Effective Field Theories
KW - Renormalization Regularization and Renormalons
KW - Scattering Amplitudes
U2 - 10.1007/JHEP07(2021)116
DO - 10.1007/JHEP07(2021)116
M3 - Journal article
AN - SCOPUS:85110789947
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 7
M1 - 116
ER -
ID: 307090414