Tree and -loop fundamental BCJ relations from soft theorems
arXiv:2305.04620 · doi:10.1140/epjc/s10052-023-11698-2
Abstract
We provide a new derivation of the fundamental BCJ relation among double color ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to -loop Feynman integrands. We also use the fundamental BCJ relation to understand the Adler's zero for tree amplitudes of non-linear Sigma model and Born-Infeld theories.
arXiv comment24 pages, 4 figures
References in corpus (53)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- New Relations for Gauge-Theory Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- On BMS Invariance of Gravitational Scattering
- Scattering of Massless Particles in Arbitrary Dimension
- BMS supertranslations and Weinberg's soft graviton theorem
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Scattering of Massless Particles: Scalars, Gluons and Gravitons
- BMS charge algebra
- Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
- Scattering Equations and KLT Orthogonality
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Asymptotic symmetries and subleading soft graviton theorem
- Asymptotic Symmetries of Yang-Mills Theory
- Progress in One-Loop QCD Computations
- New Gravitational Memories
- Effective Field Theories from Soft Limits
- Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
- Soft sub-leading divergences in Yang-Mills amplitudes
- Subleading soft theorem in arbitrary dimension from scattering equations
- Color-Kinematics Duality for QCD Amplitudes
- Double copy for massive quantum particles with spin
- Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
- Extensions of Theories from Soft Limits
- More on Soft Theorems: Trees, Loops and Strings
- Sub-subleading soft gravitons and large diffeomorphisms
- Soft Bootstrap and Supersymmetry
- One-Loop Corrections from Higher Dimensional Tree Amplitudes
- Soft Photon and Graviton Theorems in Effective Field Theory
- Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
- One-loop Scattering Equations and Amplitudes from Forward Limit
- The Tree Formula for MHV Graviton Amplitudes
- BCJ numerators from reduced Pfaffian
- Expansion of Einstein-Yang-Mills Amplitude
- New Representations of the Perturbative S-Matrix
- Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
- Recursion relations from soft theorems
- Scattering Amplitudes from Soft Theorems and Infrared Behavior
- Expansion of All Multitrace Tree Level EYM Amplitudes
- Subleading Soft Theorem for Multiple Soft Gravitons
- Constructing Amplitudes from Their Soft Limits
- Subleading Soft Graviton Theorem for Loop Amplitudes
- Exploring soft constraints on effective actions
- On the exactness of soft theorems
- Soft pion theorem, asymptotic symmetry and new memory effect
- Note on asymptotic symmetries and soft gluon theorems
- On General BCJ Relation at One-loop Level in Yang-Mills Theory
- On Primary Relations at Tree-level in String Theory and Field Theory
- Unified web for expansions of amplitudes
- The B-field soft theorem and its unification with the graviton and dilaton
- Tree level amplitudes from soft theorems
- One-loop CHY-Integrand of Bi-adjoint Scalar Theory
- On the Symmetry Foundation of Double Soft Theorems