Helicity amplitude for the process $q\Bar{q} \rightarrow q\Bar{q} g$

TL;DR

This paper computes the $S$ matrix elements for the process $q\bar{q} \rightarrow q\bar{q} g$ using spinor-helicity formalism, simplifying calculations relevant for high-energy collider physics.

Contribution

It provides explicit calculations of $S$ matrix elements for a specific quark-antiquark scattering process using spinor-helicity formalism, ignoring Z boson exchange.

Findings

Simplified $S$ matrix calculations for $q\bar{q} \rightarrow q\bar{q} g$

Demonstrates efficiency of spinor-helicity formalism in this context

Results applicable to high-energy collider phenomenology

Abstract

Precision calculations in hadronic processes at high energy colliders are crucial for improving the understanding of the standard phenomena as well as for the discovery of new physics. Spinor-helicity formalism serves as one of the most efficient ways to simplify the calculations of $S$ matrix elements. In this article, we compute the $S$ matrix elements for the process $q\Bar{q}\rightarrow q\Bar{q}g$ mediated by photon and gluon. Ignoring the contribution of $Z$ boson exchange, we show that the calculation of $S$ matrix elements for this process simplifies to a great extent by using spinor-helicity formalism.