I Calc Ampl & Cross Sec: Electron + Positron to Photon + Z Boson

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Process of electron and positron annihilation to photon and Z boson
Looking to calculate the amplitude and cross section of the process: electron + positron to photon + Z boson.

Basically the annihilation resulting in Z + gamma rather than gamma +gamma.

My question is mainly about how to deal with the polarization states with the Z boson, since there are 3 and how to handle to the Lorentz gauge wrt to the Z field. Any help will be appreciated.
 

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