Recursion relations from soft theorems
read the original abstract
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, amplitudes containing dilatons of spontaneously-broken conformal symmetry.
This paper has not been read by Pith yet.
Forward citations
Cited by 9 Pith papers
-
Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams
Three universal Feynman diagram cuttings explain hidden zeros, 2-splits, and smooth 3-splits in ordered tree amplitudes of Tr(φ³), YM, and NLSM.
-
On soft factors and transmutation operators
Reconstruction of known soft factors via transmutation operators and proof of nonexistence of higher-order universal soft factors for YM and GR amplitudes.
-
Constructing tree amplitudes of scalar EFT from double soft theorem
A method constructs tree amplitudes of scalar EFTs from the double soft theorem by determining the explicit double soft factor during the construction process.
-
Multi-trace YMS amplitudes from soft behavior
Derives expansion formulas for multi-trace YMS amplitudes bottom-up from soft gluon and scalar behaviors.
-
Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem
A recursive construction expands tree YM amplitudes to YMS and BAS amplitudes from soft theorems while preserving gauge invariance at each step.
-
Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes?
Locality, unitarity, and hidden zeros determine tree-level YM and NLSM amplitudes by reconstructing their soft theorems.
-
Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits
Extends a 2-split factorization approach to reproduce known leading and sub-leading soft theorems for Tr(φ³) and YM single-soft and NLSM double-soft amplitudes while deriving higher-order universal forms and a kinemat...
-
New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero
Recursive construction of off-shell NLSM and SG tree amplitudes from bootstrapped low-point ones via universal soft behaviors, automatically producing enhanced Adler zeros on-shell.
-
Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
Extends soft-behavior approach to construct tree YM and YMS amplitudes with F^3 (and F^3+F^4) insertions as universal expansions, plus a conjectured general formula for higher-mass-dimension YM amplitudes from ordinary ones.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.