Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
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Scattering Amplitudes
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abstract
The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory, starting with Feynman rules for simple processes in Yukawa theory and QED. The material covered includes spinor helicity formalism, on-shell recursion relations, superamplitudes and their symmetries, twistors and momentum twistors, loops and integrands, Grassmannians, polytopes, and amplitudes in perturbative supergravity as well as 3d Chern-Simons-matter theories. Multiple examples and exercises are included.
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UNVERDICTED 15representative citing papers
In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates between cusp and octagon anomalous dimensions, with proposed all-loop expressions relying
ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.
Supersymmetry, R-symmetry, and positivity constrain planar 4d EFTs to match the open string Veneziano amplitude at tree level.
Non-supersymmetric spin-3/2 dark matter with baryon-violating portals can explain the relic abundance through UV and Boltzmann-suppressed freeze-in, with viable parameter space constrained by indirect detection, direct detection, and LHC monojet searches.
S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.
A planar scattering potential in bi-adjoint φ³ theory reproduces Dolan-Goddard massive equations, counts invariants via Ferrers shapes, and interprets U(1) decoupling as Catalan and Narayana recursions.
A new Super-Grassmannian integral formalism for N=1 SCFT3 correlators enforces symmetries manifestly and relates all component functions to one, enabling construction of AdS4 gluon correlators from gluino ones.
A new formalism with graded inverse variables refines the ℓ-loop planar integrand recursion in bi-adjoint scalar theory, allowing graph factors and symmetry factors to be read directly from monomials.
A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.
Self-dual double copy extends to higher-spin fields via light-cone prepotentials, enabling higher-spin solutions and multicopy Weyl patterns for Kerr-Schild self-dual backgrounds.
A new Super-Grassmannian organizes SCFT3 correlators with manifest symmetries and connects AdS4 results to N=4 SYM amplitudes in the flat-space limit.
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.
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.
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.
citing papers explorer
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Entanglement Maximization and Symmetry Selection in Composite Higgs Models
Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
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Walking Sudakov: From Cusp to Octagon
In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates between cusp and octagon anomalous dimensions, with proposed all-loop expressions relying
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Loops and legs: ABJM amplitudes from $f$-graphs
ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.
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String Theory from Maximal Supersymmetry
Supersymmetry, R-symmetry, and positivity constrain planar 4d EFTs to match the open string Veneziano amplitude at tree level.
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Decaying spin-3/2 dark matter from baryon number violation
Non-supersymmetric spin-3/2 dark matter with baryon-violating portals can explain the relic abundance through UV and Boltzmann-suppressed freeze-in, with viable parameter space constrained by indirect detection, direct detection, and LHC monojet searches.
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Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond
S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.
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Emergent Features in $U(N) \times U(\tilde{N})$ Bi-adjoint Cubic Theory
A planar scattering potential in bi-adjoint φ³ theory reproduces Dolan-Goddard massive equations, counts invariants via Ferrers shapes, and interprets U(1) decoupling as Catalan and Narayana recursions.
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The $\mathcal{N}=1$ Super-Grassmannian for CFT$_3$ and a Foray on AdS and Cosmological Correlators
A new Super-Grassmannian integral formalism for N=1 SCFT3 correlators enforces symmetries manifestly and relates all component functions to one, enabling construction of AdS4 gluon correlators from gluino ones.
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The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables
A new formalism with graded inverse variables refines the ℓ-loop planar integrand recursion in bi-adjoint scalar theory, allowing graph factors and symmetry factors to be read directly from monomials.
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Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.
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Self-dual classical higher-spin multicopy
Self-dual double copy extends to higher-spin fields via light-cone prepotentials, enabling higher-spin solutions and multicopy Weyl patterns for Kerr-Schild self-dual backgrounds.
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Super-Grassmannians for $\mathcal{N}=2$ to $4$ SCFT$_3$: From AdS$_4$ Correlators to $\mathcal{N}=4$ SYM scattering Amplitudes
A new Super-Grassmannian organizes SCFT3 correlators with manifest symmetries and connects AdS4 results to N=4 SYM amplitudes in the flat-space limit.
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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.
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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.
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Recent Developments in SMEFT: Theory, Tools, and Phenomenology
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.