Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
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| Format: | Preprint |
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2023
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| author | Bhattacharyya, Arpan Ghosh, Saptaswa Pal, Sounak |
| author_facet | Bhattacharyya, Arpan Ghosh, Saptaswa Pal, Sounak |
| contents | We investigate the correction to the potential that gives rise to the bound orbits and radiation from non-spinning inspiralling binary black holes in a dark matter environment consisting of axion-like particles and dark photons using the techniques of Worldline Effective Field Theory. We compute the conservative dynamics up to $1$PN order for gravitational, electromagnetic, and Proca fields and up to $2$PN order for the scalar field. The effect of axion-electromagnetic coupling ($g_{aγγ}$) arises to the conservative dynamics at $2.5$PN order and the kinetic mixing constant ($γ$) at $1$PN order. Furthermore, we calculate the radiation due to the various fields present in our theory. We find that the contribution of $g_{aγγ}$ to the gravitational radiation appears at $N^{(7)}LO$ and to the scalar radiation appears at $N^{(5)}LO$. We also find that these radiative corrections due to the coupling $g_{aγγ}$ vanishes for any orbit confined to a plane because of the existence of a binormal like term in effective radiative action but give rise to non-zero contributions for any orbit that lies in three dimensions. Last but not the least, $γ$ contributes to the gravitational radiation at $N^{(2)}LO$ and $N^{(4)}LO$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_15473 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter Bhattacharyya, Arpan Ghosh, Saptaswa Pal, Sounak High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We investigate the correction to the potential that gives rise to the bound orbits and radiation from non-spinning inspiralling binary black holes in a dark matter environment consisting of axion-like particles and dark photons using the techniques of Worldline Effective Field Theory. We compute the conservative dynamics up to $1$PN order for gravitational, electromagnetic, and Proca fields and up to $2$PN order for the scalar field. The effect of axion-electromagnetic coupling ($g_{aγγ}$) arises to the conservative dynamics at $2.5$PN order and the kinetic mixing constant ($γ$) at $1$PN order. Furthermore, we calculate the radiation due to the various fields present in our theory. We find that the contribution of $g_{aγγ}$ to the gravitational radiation appears at $N^{(7)}LO$ and to the scalar radiation appears at $N^{(5)}LO$. We also find that these radiative corrections due to the coupling $g_{aγγ}$ vanishes for any orbit confined to a plane because of the existence of a binormal like term in effective radiative action but give rise to non-zero contributions for any orbit that lies in three dimensions. Last but not the least, $γ$ contributes to the gravitational radiation at $N^{(2)}LO$ and $N^{(4)}LO$. |
| title | Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2305.15473 |