Heavy quark decomposition of theSmatrix and its relation to the pinch technique

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Abstract
We propose a decomposition of the S matrix into individually gauge invariant subamplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompoosition is obtained by considering limits of the S matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge-independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic n-point functions is briefly discussed.
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