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External leg amputation in conformal invariant three-point function

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arxiv 0907.1769 v3 pith:DKGIBYIA submitted 2009-07-10 hep-th hep-ph

classification hep-thhep-ph
keywords conformalfunctionexternalfieldinvariantamputationgreeninvolving
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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    A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.

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