Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-24
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, improved version
Scientific paper
Continuing our previous study \cite{Du:2011se} of permutation sum of color ordered tree amplitudes of gluons, in this note, we prove the large-$z$ behavior of their cyclic sum and the combination of cyclic and permutation sums under BCFW deformation. Unlike the permutation sum, the study of cyclic sum and the combination of cyclic and permutation sums is much more difficult. By using the generalized Bern-Carrasco-Johansson (BCJ) relation, we have proved the boundary behavior of cyclic sum with nonadjacent BCFW deformation. The proof of cyclic sum with adjacent BCFW deformation is a little bit simpler, where only Kleiss-Kuijf (KK) relations are needed. Finally we have presented a new observation for partial-ordered permutation sum and applied it to prove the boundary behavior of combination sum with cyclic and permutation.
Du Yi-Jian
Feng Bo
Fu Chih-Hao
No associations
LandOfFree
Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-156581