The four-dimensional on-shell three-point amplitude in spinor-helicity formalism and BCFW recursion relations

Abstract

Lecture notes on Poincaré-invariant scattering amplitudes and tree-level recursion relations in spinor-helicity formalism. We illustrate the non-perturbative constraints imposed over on-shell amplitudes by the Lorentz Little Group, and review how they completely fix the three-point amplitude involving either massless or massive particles. Then we present an introduction to tree-level BCFW recursion relations, and some applications for massless scattering, where the derived three-point amplitudes are employed.

arXiv comment41+2 pages, 4 figures

References in corpus (13)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles
• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Loop amplitudes in gauge theories: modern analytic approaches
• Higher-spin massless S-matrices in four-dimensions
• Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization
• On the Theory of Continuous-Spin Particles: Wavefunctions and Soft-Factor Scattering Amplitudes
• On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces
• A CSP Field Theory with Helicity Correspondence
• Collinearity constraints for on-shell massless particle three-point functions, and implications for allowed-forbidden $n+1$-point functions

Cited by in corpus (2)

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