Massive Quark-Gluon Scattering Amplitudes at Tree Level

TL;DR

This paper computes tree-level scattering amplitudes involving massive quarks and gluons using recursion relations, providing explicit formulas and verification methods for complex momentum shifts.

Contribution

It extends recursion relation techniques to massive quark-gluon scattering amplitudes at tree level, offering new formulas and validation methods.

Findings

Calculated four-, five-, and six-parton amplitudes involving massive quarks.

Developed a simple formula for shifted spinors of internal gluons.

Validated calculations through consistency checks.

Abstract

Results for four-, five-, and six-parton tree amplitudes for massive quark-antiquark scattering with gluons are calculated using the recursion relations of Britto, Cachazo, Feng, and Witten. The required diagrams are generated using shifts of the momenta of a pair of massless legs to complex values. Checks verifying the calculations are described, and a simple formula for the shifted spinors of an internal gluon is presented.