Recursion Relations for Tree Amplitudes in Super Gauge Theories

TL;DR

This paper derives compact recursive formulas for tree-level gluon and fermion amplitudes in super gauge theories using BCF/BCFW relations, extending to multi-flavor fermions and matching known results.

Contribution

It extends BCF/BCFW recursion relations to include fermions of multiple flavors and reproduces known MHV, MHV, and non-MHV amplitudes, demonstrating their broad applicability.

Findings

Derived compact recursive formulas for gluon amplitudes.

Extended recursion relations to include multi-flavor fermions.

Validated results against existing CSW and field theory calculations.

Abstract

Using newly proposed BCF/BCFW recursion relations, compact formulas are obtained for tree-level n-gluon amplitudes of helicity structure --++...+. We then make an extension of these recursion relations to include fermions of multi-flavors, from which MHV and \bar{MHV} amplitudes are reproduced. We also calculate non-MHV amplitudes of processes with two fermions and four gluons. Results thus obtained are equivalent to those obtained by extended CSW prescriptions, and those by conventional field theory calculations.