English

General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion

High Energy Physics - Theory 2019-10-08 v4

Abstract

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 Q-cut representation.

Keywords

Cite

@article{arxiv.1610.05013,
  title  = {General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion},
  author = {Yang An and Yi Li},
  journal= {arXiv preprint arXiv:1610.05013},
  year   = {2019}
}

Comments

Published version with 20 pages, 8 figure, and 1 new reference