Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
Abstract
Two-component spinors are the basic ingredients for describing fermions in quantum field theory in 3+1 spacetime dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman rules for fermions using two-component spinor notation. These rules are suitable for practical calculations of cross-sections, decay rates, and radiative corrections in the Standard Model and its extensions, including supersymmetry, and many explicit examples are provided. The unified treatment presented in this review applies to massless Weyl fermions and massive Dirac and Majorana fermions. We exhibit the relation between the two-component spinor formalism and the more traditional four-component spinor formalism, and indicate their connections to the spinor helicity method and techniques for the computation of helicity amplitudes.
- Publication:
-
Physics Reports
- Pub Date:
- September 2010
- DOI:
- arXiv:
- arXiv:0812.1594
- Bibcode:
- 2010PhR...494....1D
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 313 pages. Version 2 adds 53 pages and 91 references. Version 3 adds 6 pages and 8 references. Version 4 adds 6 pages and 9 references. Version 5 is the version published in Physics Reports. Version 6 adds 2 pages and 3 references and corrects all errors in the published version that have come to the attention of the authors. See https://www.niu.edu/spmartin/spinors/ for errata and other features
