BCFW recursion for TMD parton scattering
A. van Hameren, M. Serino
TL;DR
This paper extends the BCFW recursion relation to scattering amplitudes involving off-shell particles in Yang-Mills theory, providing new formulas and conditions for applicability in this more general kinematic setting.
Contribution
It generalizes BCFW recursion formulas to include off-shell particles and derives explicit 5-point amplitude expressions with off-shell legs.
Findings
Derived applicability conditions for BCFW with off-shell particles
Generalized MHV amplitude formulas to off-shell configurations
Explicit 5-point amplitude expressions with off-shell legs
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.
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