QCD corrections to the hadronic production of a heavy quark pair and a W-boson including decay correlations

We perform an analytic calculation of the one-loop amplitude for the W-boson mediated process $ 0 \to d\bar{u}Q\bar{Q}\bar{\ell }\ell $ retaining the mass for the quark Q. The momentum of each of the massive quarks is expressed as the sum of two massless momenta and the corresponding heavy quark spinor is expressed as a sum of two massless spinors. Using a special choice for the heavy quark spinors we obtain analytic expressions for the one-loop amplitudes which are amenable to fast numerical evaluation. The full next-to-leading order (NLO) calculation of hadron + hadron → $ W\left( { \to e\nu } \right)b\bar{b} $ with massive b-quarks is included in the program MCFM. A comparison is performed with previous published work.

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