European Physical Journal C: Particles and Fields (Jul 2023)

Tree and 1-loop fundamental BCJ relations from soft theorems

  • Fang-Stars Wei,
  • Kang Zhou

DOI
https://doi.org/10.1140/epjc/s10052-023-11698-2
Journal volume & issue
Vol. 83, no. 7
pp. 1 – 12

Abstract

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Abstract We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamental BCJ relation to understand Adler’s zero for tree amplitudes of the nonlinear sigma model and Born–Infeld theory.