BCFW recursion for TMD parton scattering

Abstract

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.

Some typos in text and formulas corrected

References in corpus (4)

• Forward Jet Production at the Large Hadron Collider
• Wilson lines and gauge invariant off-shell amplitudes
• BCFW recursion for off-shell gluons
• B-meson production in the Parton Reggeization Approach at Tevatron and the LHC

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• Exploring minijets beyond the leading power
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• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
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• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• Ambitwistor strings and reggeon amplitudes in N=4 SYM