An Introduction to On-shell Recursion Relations

Details An Introduction to On-shell Recursion Relations An Introduction to On-shell Recursion Relations

2011-11-24

arxiv.org/abs/1111.5759v2

Physics

High Energy Physics

High Energy Physics - Theory

80 pages, 8 figures; references added; minor changes of text

Scientific paper

This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we expose analytic properties of gauge-boson amplitudes, BCFW-deformations, the large z-behavior of amplitudes, and on-shell recursion relations of gluons. We discuss further developments of on-shell recursion relations, including generalization to other quantum field theories, supersymmetric theories in particular,recursion relations for off-shell currents, boundary contributions, bonus relations, relations for rational parts of one-loop amplitudes, recursion relations in 3D and a proof of CSW rules. Finally, we present samples of applications, including solutions of split amplitudes and of N = 4 SYM theories, consistent conditions, KK and BCJ relations, Kawai-Lewellen-Tye (KLT) relations.

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