An introduction to on-shell recursion relations |
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Authors: | Bo Feng Mingxing Luo |
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Institution: | 1. Zhejiang Institute of Modern Physics,Zhejiang University, Hangzhou 310027, China; 2. Center of Mathematical Science, ZhejiangUniversity, Hangzhou 310027, China |
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Abstract: | 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, recursion relation with nonzero 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 helicity amplitudes and of N = 4 SYM theories, consequences of consistent conditions under recursion relation, Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations for color-ordered gluon tree amplitudes, Kawai-Lewellen-Tye (KLT) relations. |
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Keywords: | amplitude on-shell recursionrelation |
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