English

On single and double soft behaviors in NLSM

High Energy Physics - Theory 2015-08-27 v4

Abstract

In this paper, we study the single and double soft behaviors of tree level off-shell currents and on-shell amplitudes in nonlinear sigma model(NLSM). We first propose and prove the leading soft behavior of the tree level currents with a single soft particle. In the on-shell limit, this single soft emission becomes the Adler's zero. Then we establish the leading and sub-leading soft behaviors of tree level currents with two adjacent soft particles. With a careful analysis of the on-shell limit, we obtain the double soft behaviors of on-shell amplitudes where the two soft particles are adjacent to each other. By applying Kleiss-Kuijf (KK) relation, we further obtain the leading and sub-leading behaviors of amplitudes with two nonadjacent soft particles.

Cite

@article{arxiv.1505.04411,
  title  = {On single and double soft behaviors in NLSM},
  author = {Yi-Jian Du and Hui Luo},
  journal= {arXiv preprint arXiv:1505.04411},
  year   = {2015}
}

Comments

41 pages, 6 tables, 9 figures, minor revised, more content about nonadjacent double soft limit, update the references

R2 v1 2026-06-22T09:35:50.342Z