A Brief Look at the Chirality-Flow Formalism for Standard Model Amplitudes

TL;DR

The paper introduces the chirality-flow formalism, a novel approach that simplifies tree-level spinor-helicity calculations in the Standard Model by eliminating complex algebra, inspired by flow descriptions in color calculations.

Contribution

It presents the chirality-flow formalism, a new method that streamlines amplitude calculations by reducing algebraic complexity at the algebraic level.

Findings

Simplifies tree-level spinor-helicity calculations

Eliminates non-trivial algebra from amplitude computations

Provides examples demonstrating the method's effectiveness

Abstract

Inspired by the flow description of su(N) colour calculations, we recently showed how to simplify the spinor-helicity formalism (at the algebra level two copies of complexified su(2)) by treating each Weyl spinor as part of a flow line with definite chirality and momentum. This formalism, dubbed the chirality-flow formalism, eliminates all non-trivial algebra from tree-level spinor-helicity calculations, thus allowing the shortest possible route from Feynman diagrams to complex numbers (spinor inner products). In this presentation, we briefly introduce the main features of this method and show some examples.