Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT

Fuente: arXiv
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Autores principales: Bhattacharyya, Arpan, Ghosh, Debodirna, Ghosh, Saptaswa, Pal, Sounak
Formato: Preprint
Publicado: 2024
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author Bhattacharyya, Arpan
Ghosh, Debodirna
Ghosh, Saptaswa
Pal, Sounak
author_facet Bhattacharyya, Arpan
Ghosh, Debodirna
Ghosh, Saptaswa
Pal, Sounak
contents In this paper, we compute the WQFT partition function, specifically the eikonal phase in a black hole scattering event in the dynamical Chern-Simons theory, using the techniques of spinning worldline quantum field theory. We consider the scattering of spinning black holes and highlight the necessary details for the calculation of the partition function. We present the $ε$-expansion of the essential two-loop integrals using Integration-by-Parts (IBP) reduction and differential equation techniques, which we then utilize to compute the linear-in-order spin eikonal phase up to 3PM. Additionally, we discuss the dependence of the phase on the spin orientations of the black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07195
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
Bhattacharyya, Arpan
Ghosh, Debodirna
Ghosh, Saptaswa
Pal, Sounak
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
In this paper, we compute the WQFT partition function, specifically the eikonal phase in a black hole scattering event in the dynamical Chern-Simons theory, using the techniques of spinning worldline quantum field theory. We consider the scattering of spinning black holes and highlight the necessary details for the calculation of the partition function. We present the $ε$-expansion of the essential two-loop integrals using Integration-by-Parts (IBP) reduction and differential equation techniques, which we then utilize to compute the linear-in-order spin eikonal phase up to 3PM. Additionally, we discuss the dependence of the phase on the spin orientations of the black holes.
title Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2407.07195