Spinning amplitudes from scalar amplitudes

Arnab Rudra; Mahesh KN Balasubramanian; Raj Patil

Spinning amplitudes from scalar amplitudes

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arxiv 2106.05301 v2 pith:J3RQ3SWP submitted 2021-06-09 hep-th

Mahesh KN Balasubramanian , Raj Patil , Arnab Rudra This is my paper · ORCID

classification hep-th

keywords amplitudesdimensionsexternalscalarscatteringspinningstatesvarious

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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.

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