External leg amputation in conformal invariant three-point function

Understand

Amputation of external legs is carried out explicitly for the conformal invariant three-point function involving two spinors and one vector field.

• Our results are consistent with the general result that amputing an external leg in a conformal invariant Green function replaces a field by its conformal partner in the Green function.
• A new star-triangle relation, involving two spinors and one vector field, is derived and used for the calculation.