The chirality-flow formalism for the standard model

TL;DR

The paper extends the chirality-flow formalism to the full Standard Model, enabling simpler calculations of Feynman diagrams involving massive particles and electroweak interactions.

Contribution

It introduces a comprehensive extension of the chirality-flow formalism to the entire Standard Model, including massive particles and electroweak interactions.

Findings

Simplified calculation of Feynman diagrams with massive particles.

Immediate writing of Feynman diagram values using the formalism.

Elegant treatment of W-interactions due to chirality.

Abstract

In a recent paper we introduced the chirality-flow formalism, a method for simple and transparent calculations of Feynman diagrams based on the left- and right-chiral $\mathrm{sl}(2,\mathbb{C})$ nature of spacetime. While our previous work focused on massless QED and QCD at tree-level, we here extend the chirality-flow formalism to the full (tree-level) Standard Model, including massive particles and electroweak interactions -- for which the $W$-interaction simplifies elegantly due to its chiral nature. We illustrate how values of Feynman diagrams can be immediately written down with some representative examples.