From Scattering in Kerr Backgrounds to Higher-Spin Amplitudes

          @misc{ pirsa_PIRSA:21060053,
            doi = {10.48660/21060053},
            url = {https://pirsa.org/21060053},
            author = {Bautista Chivata, Yilber},
            keywords = {Other},
            language = {en},
            title = {From Scattering in Kerr Backgrounds to Higher-Spin Amplitudes},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060053 see, \url{https://pirsa.org}}
          }
          

Abstract

We revisit the scattering of massless waves of helicity $|h|=0,\frac{1}{2},1,2$ in Schwarzschild and Kerr backgrounds, in the long-wavelength regime. The Newman-Penrose scattering amplitudes arising from the Black Hole Perturbation Theory (BHPT) framework are found in agreement with the classical limit of QFT amplitudes at finite values of the scattering angle and arbitrary spin orientation. The latter amplitudes are obtained from on-shell methods and describe the $2\to 2$ scattering of a massless particle of helicity $|h|$ with a massive particle of arbitrary spin $S$, where $S=0$ corresponds to the Schwarzschild case. The effect of the black hole spin in the polarization of the waves is found in agreement with previous analysis. Finally, unitarity constraints based on partial amplitudes and positive time delay are also discussed.