5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910106202931200 |
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| author | Akhtar, Samim Bautista, Yilber Fabian Iossa, Cristoforo Zhou, Zihan |
| author_facet | Akhtar, Samim Bautista, Yilber Fabian Iossa, Cristoforo Zhou, Zihan |
| contents | In this Letter, we study scalar wave perturbations of arbitrary frequency to the 5D Schwarzschild-Tangherlini black hole (STBH) within general relativity. For the first time, we derive a closed formula for the 5D partial wave gravitational Raman scattering amplitude applicable to a broad class of boundary conditions, expressed in terms of the Nekrasov-Shatashvili (NS) function for the reduced confluent Heun problem. Furthermore, up to $O(G^2)$ we compute the dynamical $\ell=0$, and the static $\ell=1$, scalar tidal Love numbers of the STBH by matching an effective field theory description for a scalar wave scattering off the black hole, to our novel ultraviolet-NS solutions. The matched Love numbers do not vanish and present renormalization group running behavior. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_21489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime Akhtar, Samim Bautista, Yilber Fabian Iossa, Cristoforo Zhou, Zihan High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology In this Letter, we study scalar wave perturbations of arbitrary frequency to the 5D Schwarzschild-Tangherlini black hole (STBH) within general relativity. For the first time, we derive a closed formula for the 5D partial wave gravitational Raman scattering amplitude applicable to a broad class of boundary conditions, expressed in terms of the Nekrasov-Shatashvili (NS) function for the reduced confluent Heun problem. Furthermore, up to $O(G^2)$ we compute the dynamical $\ell=0$, and the static $\ell=1$, scalar tidal Love numbers of the STBH by matching an effective field theory description for a scalar wave scattering off the black hole, to our novel ultraviolet-NS solutions. The matched Love numbers do not vanish and present renormalization group running behavior. |
| title | 5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2505.21489 |