Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order

التفاصيل البيبلوغرافية
العنوان: Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order
المؤلفون: Driesse, Mathias, Jakobsen, Gustav Uhre, Mogull, Gustav, Plefka, Jan, Sauer, Benjamin, Usovitsch, Johann
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology
الوصف: We compute the 5PM order contributions to the scattering angle and impulse of classical black hole scattering in the conservative sector at first self-force order (1SF) using the worldline quantum field theory formalism. This challenging four-loop computation required the use of advanced integration-by-parts and differential equation technology implemented on high-performance computing systems. Use of partial fraction identities allowed us to render the complete integrand in a fully planar form. The resulting function space is simpler than expected: in the scattering angle we see only multiple polylogarithms up to weight three, and a total absence of the elliptic integrals that appeared at 4PM order. All checks on our result, both internal - cancellation of dimensional regularization poles, preservation of the on-shell condition - and external - matching the slow-velocity limit with the post-Newtonian (PN) literature up to 5PN order and matching the tail terms to the 4PM loss of energy - are passed.
Comment: 12 pages, 2 figures + attached Mathematica ancillary file; v3 PRL-accepted version
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.07781
رقم الأكسشن: edsarx.2403.07781
قاعدة البيانات: arXiv