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Sci.China Phys.Mech.Astron. 65 (2022) 4, 240011           arXiv: 2110.04569

Cachazo-Svrček-Witten rules for tree-level gluonic amplitudes revisited

Wen-jie Zhang1, Jun-Bao Wu1,2,*, Chuan-Jie Zhu3

1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China

2. Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, P. R. China

3. College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, P. R. China

* Corresponding Authors

Abstract

We provide a new proof of Cachazo-Svrček-Witten rules for tree-level gluonic amplitudes. As a key step, we explicitly demonstrate the cancellation of spurious poles originating from the maximally helicity violating vertices in these rules. To achieve this, we introduce specially-defined two-off-shell-line sub-amplitudes and examine their residues at spurious poles.

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