Scalar diagrammatic rules for Born amplitudes in QCD
Christian Schwinn, Stefan Weinzierl
TL;DR
This paper introduces a scalar diagrammatic method for calculating all Born amplitudes in QCD, simplifying the process by using scalar propagators and specific vertices, applicable to any number of quark pairs, massless or massive.
Contribution
It presents a novel scalar diagrammatic formalism for QCD Born amplitudes, encompassing multiple quark pairs and masses, within the framework of quantum field theory.
Findings
All Born amplitudes in QCD can be derived from scalar propagators and vertices.
The formalism includes amplitudes with any number of quark pairs, massless or massive.
The proof is fully within quantum field theory.
Abstract
We show that all Born amplitudes in QCD can be calculated from scalar propagators and a set of three- and four-valent vertices. In particular, our approach includes amplitudes with any number of quark pairs. The quarks may be massless or massive. The proof of the formalism is given entirely within quantum field theory.
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