Reference-vector independence fixes the contact term in the tree-level electromagnetic Compton amplitude for arbitrary-spin massive bosons, yielding a manifestly gauge-invariant spinor-helicity expression without spurious poles.
Compton amplitude for massive bosons of arbitrary spin
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In this work, we write down an analytic expression of electromagnetic tree-level Compton amplitude for a completely symmetric traceless (bosonic) higher spin particle in any dimension. Our analysis is restricted to the three-point function, which is unique in the Infrared and responsible for the Coulomb interactions/soft photon theorem. We propose an analogue of $R_\xi$ gauge in a theory of higher spin particles. We demonstrate that the theory is unitary only for $\xi=1,\infty$.
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Compton amplitude and Contact term(s) in the Spinor Helicity formalism
Reference-vector independence fixes the contact term in the tree-level electromagnetic Compton amplitude for arbitrary-spin massive bosons, yielding a manifestly gauge-invariant spinor-helicity expression without spurious poles.