Top tree amplitudes for higher order calculations

Abstract

Abstract We present compact analytic results for tree-level amplitudes containing a t t ¯ $$ t\overline{t} $$ pair accompanied by up to four massless partons, t t ¯ gg $$ t\overline{t} gg $$ , t t ¯ ggg $$ t\overline{t} ggg $$ , t t ¯ gggg $$ t\overline{t} gggg $$ , t t ¯ q q ¯ $$ t\overline{t}q\overline{q} $$ , t t ¯ q q ¯ g $$ t\overline{t}q\overline{q}g $$ , t t ¯ q q ¯ gg $$ t\overline{t}q\overline{q} gg $$ and t t ¯ q q ¯ q ′ q ¯ ′ $$ t\overline{t}q\overline{q}{q}^{\prime }{\overline{q}}^{\prime } $$ . The results, obtained using BCFW on-shell recursion, are based both on previous published results and on the new calculations performed in this paper. These amplitudes are sufficient to calculate the production of a t t ¯ $$ t\overline{t} $$ pair and zero, one, or two light parton jets, with the option to include the tree-level decays t → bνe + and t ¯ $$ \overline{t} $$ → b ¯ e $$ \overline{b}e $$ − ν ¯ $$ \overline{\nu} $$ efficiently. Our results are part of the NNLO corrections to t t ¯ $$ t\overline{t} $$ production including the decay correlations for on-shell top quarks.

Keywords

• Top Quark
• Higher-Order Perturbative Calculations
• Scattering Amplitudes