# Parke-Taylor $n$-gluon tree amplitude The Parke-Taylor formula for the tree-level scattering of an arbitrary number of gluons in the [[0061 Maximally helicity violating amplitudes|MHV]] sector is given by$A_{n}\left[1^{+} \ldots i^{-} \ldots j^{-} \ldots n^{+}\right]=\frac{\langle i j\rangle^{4}}{\langle 12\rangle\langle 23\rangle \cdots\langle n 1\rangle}.$ ## Refs - a derivation in chap.3 of [[Rsc0003 ElvangHuang Scattering amplitudes]]