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arXiv · 1205.4827

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

Yasuhiro Abe
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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.

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Yasuhiro Abe. 2012-08-10. Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars. https://doi.org/10.1016/j.nuclphysb.2012.08.003

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