Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars

TL;DR

This paper develops a holonomy formalism in supertwistor space to construct and derive tree-level scattering amplitudes involving gluons and massive scalars, aligning with known results and enabling new phenomenological studies.

Contribution

It introduces a novel S-matrix functional in supertwistor space for massive scalar amplitudes, providing recursive formulas for non-UHV amplitudes and extending the holonomy formalism.

Findings

Derived UHV and NUHV massive scalar amplitudes at tree level.

Established recursive relations for non-UHV amplitudes.

Confirmed consistency with previously known results.

Abstract

Scattering amplitudes of gluons coupled with a pair of massive scalars, so-called massive scalar amplitudes, provide the simplest yet physically useful examples of massive amplitudes. In this paper we construct an S-matrix functional for the massive scalar amplitudes in a recently developed holonomy formalism in supertwistor space. From the S-matrix functional we derive ultra helicity violating (UHV), as well as next-to-UHV (NUHV), massive scalar amplitudes at tree level in a form that agrees with previously known results. We also obtain recursive expressions for non-UHV tree amplitudes in general. These results will open up a new avenue to the study of phenomenology in the spinor-helicity formalism.