Abstract
We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin J exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.
Highlights
A relativistic particle with a spin more than two is commonly known as a Higher spin particle
Mahesh KN Balasubramanian,a Raj Patilb and Arnab Rudraa aIndian Institute of Science Education and Research Bhopal, Bhopal Bypass Rd, Bhauri, Madhya Pradesh 462066, India bIndian Institute of Science Education and Research Pune, Dr Homi Bhabha Rd, Ward No 8, NCL Colony, Pashan, Pune, Maharashtra 411008, India E-mail: mahesh16@iiserb.ac.in, patil.raj@students.iiserpune.ac.in, rudra@iiserb.ac.in Abstract: We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions
Considering Einstein gravity is non-renormalizable3 in 3+1 dimensions, it is not possible to understand them using our current knowledge of Quantum field theory
Summary
A relativistic particle with a spin more than two is commonly known as a Higher spin particle. Considering Einstein gravity (and all its supersymmetric cousins) is non-renormalizable in 3+1 dimensions, it is not possible to understand them using our current knowledge of Quantum field theory. Another possibility is that when the higher-derivative corrections become relevant at a scale (say α) which is parametrically smaller than Planck scale Mp.. There has been a vast amount of work to understand the dynamics of two black holes or the scattering of gravitational waves from a black hole Such physics can be understood by considering the spinning black holes as massive Higher spin particles [4,5,6,7]. Our work is closer to the work of [18, 19]
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