S@M, a Mathematica Implementation of the Spinor-Helicity Formalism

TL;DR

The paper introduces S@M, a Mathematica package that implements the spinor-helicity formalism, enabling symbolic and numerical manipulation of spinors for scattering amplitude calculations.

Contribution

It provides a comprehensive Mathematica implementation of the spinor-helicity formalism, facilitating symbolic and numerical computations in scattering amplitude research.

Findings

Enables symbolic manipulation of spinor objects.

Allows numerical evaluation of spinorial expressions.

Supports calculations at tree- and loop-level amplitudes.

Abstract

In this paper we present the package S@M (Spinors@Mathematica) which implements the spinor-helicity formalism in Mathematica. The package allows the use of complex-spinor algebra along with the multi-purpose features of Mathematica. The package defines the spinor objects with their basic properties along with functions to manipulate them. It also offers the possibility of evaluating the spinorial objects numerically at every computational step. The package is therefore well suited to be used in the context of on-shell technology, in particular for the evaluation of scattering amplitudes at tree- and loop-level.