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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Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
17 Pith papers cite this work, alongside 196 external citations. Polarity classification is still indexing.
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Pith papers citing it
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external citations · Pith
abstract
We present the building blocks that can be combined to produce tree-level S-matrix elements of a variety of theories with various spins mixed in arbitrary dimensions. The new formulas for the scattering of $n$ massless particles are given by integrals over the positions of $n$ points on a sphere restricted to satisfy the scattering equations. As applications, we obtain all single-trace amplitudes in Einstein--Yang--Mills (EYM) theory, and generalizations to include scalars. Also in EYM but extended by a B-field and a dilaton, we present all double-trace gluon amplitudes. The building blocks are made of Pfaffians and Parke--Taylor-like factors of subsets of particle labels.
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hep-th 17representative citing papers
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.
Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.
A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.
Hidden zeros extend to higher-derivative tree-level gluon and graviton amplitudes, with systematic cancellation of propagator singularities shown via bi-adjoint scalar expansions.
Reconstruction of known soft factors via transmutation operators and proof of nonexistence of higher-order universal soft factors for YM and GR amplitudes.
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.
New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.
Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several unpublished recursions.
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.
Differential operators and three color-ordered amplitude relations are extended from on-shell to off-shell CHY integrals in the double-cover framework.
Hidden zeros in NLSM amplitudes are proven via modified BCFW recursion, with 2-split holding only under careful current definition.
Hidden zeros in tree-level amplitudes of several theories are attributed to zeros of bi-adjoint scalar amplitudes via universal expansions, with a mechanism shown to cancel potential propagator divergences in gravity.
A recursive expansion of single-trace YMS amplitudes is built from soft theorems; the result is gauge invariant, permutation symmetric, and equivalent to the Cheung-Mangan covariant color-kinematic duality construction.
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 differential operators and unifying relations for $1$-loop Feynman integrands
Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.
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Planar loop integrands from cuts in $D$ dimensions
A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.
-
Hidden zeros for higher-derivative YM and GR amplitudes at tree-level
Hidden zeros extend to higher-derivative tree-level gluon and graviton amplitudes, with systematic cancellation of propagator singularities shown via bi-adjoint scalar expansions.
-
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.
-
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.
-
Transmutation operators and expansions for $1$-loop Feynman integrands
New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.
-
Perturbiner methods in scattering amplitude
Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several unpublished recursions.
-
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.
-
Transmuting off-shell CHY integrals in the double-cover framework
Differential operators and three color-ordered amplitude relations are extended from on-shell to off-shell CHY integrals in the double-cover framework.
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Hidden Zeros and $2$-split via BCFW Recursion Relation
Hidden zeros in NLSM amplitudes are proven via modified BCFW recursion, with 2-split holding only under careful current definition.
-
Note on hidden zeros and expansions of tree-level amplitudes
Hidden zeros in tree-level amplitudes of several theories are attributed to zeros of bi-adjoint scalar amplitudes via universal expansions, with a mechanism shown to cancel potential propagator divergences in gravity.
-
Expanding single trace YMS amplitudes with gauge invariant coefficients
A recursive expansion of single-trace YMS amplitudes is built from soft theorems; the result is gauge invariant, permutation symmetric, and equivalent to the Cheung-Mangan covariant color-kinematic duality construction.