2015/12/31 by Hui Luo, Congkao Wen · 69 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Double recursion #Field (mathematics) #Generalization #Noncommutative and Quantum Gravity Theories #Recursion (computer science) #Scalar (mathematics) #Soft set #hep-th
paper · pdf · doi:10.1007/jhep03(2016)088
published in Journal of High Energy Physics 2016(3) (Springer Nature) · 21 pages, typos and some statements modified, references added
openalex publication_date 2016/03/01 · arxiv created 2016/03/02 · arxiv updated 2016/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We establish a set of new on-shell recursion relations for amplitudes satisfying soft theorems. The recursion relations can apply to those amplitudes whose additional physical inputs from soft theorems are enough to overcome the bad large-z behaviour. This work is a generalization of the recursion relations recently obtained by Cheung et al. for amplitudes in scalar effective field theories with enhanced vanishing soft behaviours, which can be regarded as a special case of those with non-vanishing soft limits. We apply the recursion relations to tree-level amplitudes in various theories, including amplitudes in the Akulov-Volkov theory and amplitudes containing dilatons of spontaneously-broken conformal symmetry.