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Scattering amplitudes of gluons coupled with a pair of massive scalars,so-called massive scalar amplitudes, provide the simplest yet physically usefulexamples of massive amplitudes. In this paper we construct an S-matrixfunctional for the massive scalar amplitudes in a recently developed holonomyformalism in supertwistor space. From the S-matrix functional we derive ultrahelicity violating (UHV), as well as next-to-UHV (NUHV), massive scalaramplitudes 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 thespinor-helicity formalism.

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