Spinor Calculus in Particle Physics

TL;DR

This paper presents a comprehensive overview of spinor calculus methods in particle physics, emphasizing the helicity-coupling scheme, with explicit formulas and applications to elementary processes.

Contribution

It provides detailed formulas and applications of spinor calculus techniques specifically focusing on helicity states in particle interactions.

Findings

Explicit formulas for helicity projectors and bilinears

Application examples to elementary particle processes

Emphasis on the helicity-coupling scheme

Abstract

Methods of spinor calculus in particle physics are described in this series of four chapters written in french. A special emphasis is made on the well-known helicity-coupling scheme which is the guiding thread of all these methods. Numerous explicit formulas are given for projectors onto two-particles helicity states as well as for bilinears of Dirac spinors, for the s and t channels of a given two-body process involving spin 1/2 particles. In the last chapter, applications to various elementary processes are given.