Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry

By H. Dreiner, H. Haber, S. P. Martin. 2008

572 citations recorded by the source corpus.

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 twocomponent 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 crosssections, 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.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7b7bafcd9cd1151736a911b7e0824619b9c1ca97

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Citations in the corpus

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Compilation of low-energy constraints on 4-fermion operators in the SMEFT (2017, unknown): “[57] (1)Compared to [60], we use a different normalization of the antisymmetric product of the σ matrices: σμν = i 2 (σμσ̄ν − σν σ̄μ), σ̄μν = i 2 (σ̄μσν − σ̄νσμ).”
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