BCFW recursion for TMD parton scattering

A bstract 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-s...

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Published inThe journal of high energy physics Vol. 2015; no. 7; pp. 1 - 37
Main Authors van Hameren, Andreas, Serino, Mirko
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2015
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
Exact solutions
Fermions
Helicity
High energy physics
Kinematics
Mathematical analysis
Partons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Recursion
Regular Article - Theoretical Physics
Relativity Theory
Scattering amplitude
String Theory
Scattering Amplitudes
QCD
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Summary:A bstract 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.
Bibliography:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2015)010