https://doi.org/10.1140/epjc/s10052-018-5724-1
Regular Article - Theoretical Physics
General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in 
-cut representation
Department of Physics, Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China
* e-mail: anyangpeacefulocean@zju.edu.cn
Received:
1
June
2017
Accepted:
11
March
2018
Published online:
29
March
2018
In this paper, we give the general expressions for a special series of tree amplitudes of the Yang–Mills theory. This series of amplitudes have two adjacent massless spin-1 particles with extra-dimensional momenta and any number of positive helicity gluons. With special helicity choices, we use the spinor helicity formalism to express these n-point amplitudes in compact forms, and find a clever way to use the BCFW recursion relations to prove the results. Then these amplitudes are used to form the complete 1-loop all-plus integrand with any number of gluons, expressed in the -cut representation.
© The Author(s), 2018
