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6 papers
Expansion formula of one-loop Einstein-Yang-Mills integrand
Yi-Jian Du, Chongsi Xie
Building upon the algebraic consistency construction of one-loop Bern-Carrasco-Johansson (BCJ) numerators for Yang-Mills (YM) and Yang-Mills-scalar (YMS) theories, we explore the e…
Algebraic Consistency and Explicit Construction of One-Loop BCJ Numerators of Yang-Mills and Related Theories
Yi-Jian Du, Chih-Hao Fu, Yihong Wang +1
We study the algebraic structure of one-loop BCJ numerators in Yang-Mills and related theories. Starting from the propagator matrix that connects colour-ordered integrands to numer…
Note on the Hopf-algebra-based formula of Yang-Mills-Scalar amplitudes
Jiexi Liu, Yi-Jian Du
In this note, we study the Hopf-algebra-based (HAB) formula of Yang-Mills-Scalar (YMS) amplitudes, which expands a YMS amplitude with massive scalars as a combination of propagator…
Local vertices, quadratic propagators and double-copy structure of one-loop integrands from forward limits
Chongsi Xie, Yi-Jian Du
By worldsheet approach, -point one-loop integrand can be expressed as a combination of -point tree-level bi-adjoint scalar (BS) amplitudes under forward limit. The integr…
Note on single-trace EYM amplitudes with MHV configuration
Zhirun Li, Yi-Jian Du
In the maximally-helicity-violating (MHV) configuration, tree-level single-trace Einstein-Yang-Mills (EYM) amplitude with one and two gravitons have been shown to satisfy a formula…
Extracting quadratic propagators by refined graphic rule
Chongsi Xie, Yi-Jian Du
One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic on…