1111.5759 (Bo Feng et al.)

An Introduction to On-shell Recursion Relations    [PDF]

Bo Feng, Mingxing Luo

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.

View original: http://arxiv.org/abs/1111.5759