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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…
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…
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…
A note on multi-trace EYM amplitudes in four dimensions
Chongsi Xie, Yi-Jian Du
In four dimensions, a tree-level double-trace Einstein-Yang-Mills (EYM) amplitude with two negative-helicity gluons (the -configuration) satisfies a symmetric spanning f…
Evaluating EYM amplitudes in four dimensions by refined graphic expansion
Hongxiang Tian, Enze Gong, Chongsi Xie +1
The recursive expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes induces a refined graphic expansion, by which any tree-level EYM amplitude can be expressed as…