TL;DR
This paper extends BCFW recursion to compute tree-level multi-gluon helicity amplitudes involving off-shell gluons, providing compact formulas and identifying maximum-helicity-violating configurations.
Contribution
It introduces a method to calculate off-shell gluon amplitudes using BCFW recursion, including explicit formulas for three- and four-gluon processes.
Findings
Derived compact expressions for helicity amplitudes with off-shell gluons.
Identified maximum-helicity-violating configurations for off-shell gluons.
Extended BCFW recursion applicability to off-shell gluon scattering.
Abstract
It is shown how tree-level multi-gluon helicity amplitudes with an arbitrary number of off-shell external gluons can be calculated via BCFW recursion. Compact expressions for helicity amplitudes for scattering processes of three and four gluons, with up to three of them off-shell, are presented. Also, maximum-helicity-violating configurations are identified for up to two off-shell gluons, and the expressions for their helicity amplitudes for an arbitrary number of on-shell gluons are derived.
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