Spinor-helicity calculation of the $g^* g^* \to q\overline{q} V^*$ amplitude at the tree level

TL;DR

This paper derives compact analytic expressions for the tree-level amplitudes of two virtual gluons producing a quark-antiquark pair and a boson, using the spinor-helicity formalism, aiding high-energy phenomenology.

Contribution

It introduces a spinor-helicity based method to compute these amplitudes, resulting in shorter expressions than traditional trace techniques.

Findings

Analytic expressions are significantly shorter than trace-based results.

The formulas facilitate faster numerical computations in high-energy physics.

Applicable to phenomenological studies of the Drell-Yan process.

Abstract

We compute amplitudes for the process $g^* g^* \to q \overline q V^*$ (two virtual gluons into a quark, antiquark and a boson) at the tree level using the spinor-helicity formalism. The resulting analytic expressions are much shorter than squared amplitudes obtained using trace methods. Our results can be used to expedite numerical calculations in phenomenological studies of the Drell-Yan process in high energy factorization framework.