Three universal Feynman diagram cuttings explain hidden zeros, 2-splits, and smooth 3-splits in ordered tree amplitudes of Tr(φ³), YM, and NLSM.
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Constructing Amplitudes from Their Soft Limits
12 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time. The properties of the soft limits have been exploited in numerous ways; in particular for relating an n-point amplitude to an (n-1)-point amplitude by removing a soft particle. Recently, a procedure called inverse soft was developed by which "soft" particles can be systematically added to an amplitude to construct a higher-point amplitude for generic kinematics. We review this procedure and relate it to Britto-Cachazo-Feng-Witten recursion. We show that all tree-level amplitudes in gauge theory and gravity up through seven points can be constructed in this way, as well as certain classes of NMHV gauge-theory amplitudes with any number of external legs. This provides us with a systematic procedure for constructing amplitudes solely from their soft limits.
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Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.
Reconstruction of known soft factors via transmutation operators and proof of nonexistence of higher-order universal soft factors for YM and GR amplitudes.
A method constructs tree amplitudes of scalar EFTs from the double soft theorem by determining the explicit double soft factor during the construction process.
Derives expansion formulas for multi-trace YMS amplitudes bottom-up from soft gluon and scalar behaviors.
A recursive construction expands tree YM amplitudes to YMS and BAS amplitudes from soft theorems while preserving gauge invariance at each step.
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 kinematic relation linking YM gauge invariance to NLSM 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.
The paper constructs general tree NLSM amplitudes via an expanded formula enforced by Adler zero universality and derives the corresponding double soft factors.
Tree-level amplitudes for Yang-Mills-scalar, pure Yang-Mills, Einstein-Yang-Mills and gravitational theories are reconstructed from soft theorems, universality of soft factors and double copy, with explicit soft factors determined.
Locality, unitarity, and hidden zeros determine tree-level YM and NLSM amplitudes by reconstructing their soft theorems.
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.
citing papers explorer
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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.
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Tree and $1$-loop fundamental BCJ relations from soft theorems
Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.
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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.
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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.
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Multi-trace YMS amplitudes from soft behavior
Derives expansion formulas for multi-trace YMS amplitudes bottom-up from soft gluon and scalar behaviors.
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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.
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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 kinematic relation linking YM gauge invariance to NLSM Adler zero.
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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.
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Note on tree NLSM amplitudes and soft theorems
The paper constructs general tree NLSM amplitudes via an expanded formula enforced by Adler zero universality and derives the corresponding double soft factors.
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Tree level amplitudes from soft theorems
Tree-level amplitudes for Yang-Mills-scalar, pure Yang-Mills, Einstein-Yang-Mills and gravitational theories are reconstructed from soft theorems, universality of soft factors and double copy, with explicit soft factors determined.
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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.
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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.