Recursion in multiplet bases for tree-level MHV gluon amplitudes

TL;DR

This paper develops a recursive method to compute tree-level MHV gluon amplitudes directly in multiplet bases, improving efficiency in handling color structures and providing explicit calculations for four to six gluons.

Contribution

It introduces a direct recursion approach for multiplet basis decomposition of gluon amplitudes, enhancing computational efficiency over previous methods.

Findings

Efficient recursion method for multiplet basis decomposition

Explicit calculations for four, five, and six gluon amplitudes

Improved handling of color structures in gluon amplitude calculations

Abstract

We investigate the construction of tree-level MHV gluon amplitudes in multiplet bases using BCFW recursion. The multiplet basis decomposition can either be obtained by decomposing results derived in (for example) the DDM basis or by formulating the recursion directly in the multiplet basis. We focus on the latter approach and show how to efficiently deal with the color structure appearing in the recursion. For illustration, we also explicitly calculate the four-, five- and six-gluon amplitudes.