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BCFW recursion for TMD parton scattering

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arxiv 1504.00315 v5 pith:5XEATVXA submitted 2015-04-01 hep-ph hep-th

classification hep-phhep-th
keywords bcfwrecursionamplitudescaseconfigurationson-shellpartonsscattering
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the application of the BCFW recursion relation to scattering amplitudes with one off-shell particle in a Yang-Mills theory with fermions. We provide a set of conditions of applicability of the BCFW recursion, stressing some important differences with respect to the pure on-shell case. We show how the formulas for Maximally-Helicity-Violating (MHV) configurations with any number of partons, which are well known in the fully on-shell case, are generalized to this kinematic regime. We also derive analytic expressions for all the helicity configurations of the 5-point color-stripped tree-level amplitudes for any of the partons being off the mass shell.

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