Bootstrapping the relativistic two-body problem

被引：27

作者：

Dlapa, Christoph ^{[1
]}

Kaelin, Gregor ^{[1
]}

Liu, Zhengwen ^{[2
]}

Porto, Rafael A. A. ^{[1
,3
,4
]}

机构：

[1] Deutsch Elektronen Synchrotron DESY, Notkestr 85, D-22607 Hamburg, Germany

[2] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

[3] Univ Republica, Fac Ingn, Inst Fis, JHy Reissig 565, Montevideo 11000, Uruguay

[4] Univ Republica, Fac Ciencias, Inst Fis, Igua 4225, Montevideo 11400, Uruguay

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 08期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Classical Theories of Gravity; Effective Field Theories; Scattering Amplitudes; EXPANDING HYPERGEOMETRIC-FUNCTIONS; FEYNMAN-INTEGRALS; DIFFERENTIAL-EQUATIONS; ITERATED INTEGRALS; CANONICAL BASIS; GROBNER BASES; PACKAGE; COMPUTATION; EPSILON; PARTS;

D O I：

10.1007/JHEP08(2023)109

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the multi-loop' integration problem via the methodology of differential equations and expansion by regions. This allows us to bootstrap the two-body relativistic dynamics in the Post-Minkowskian (PM) expansion from boundary data evaluated in the near-static (soft) limit. We illustrate the procedure with the derivation of the total spacetime impulse in the scattering of non-spinning bodies to 4PM (three-loop) order, i.e. O(G(4)), including conservative and dissipative effects.

引用

页数：85

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