Hidden Zeros and 2-split via BCFW Recursion Relation

2025/04/19 by Bo Feng, Liang Zhang, Feng, Bo +3 · 15 citations
Computer Science · Neuroscience · #Brain Tumor Detection and Classification #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2504.14215

openalex publication_date 2025/04/19 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide another angle to understand recent discoveries, i.e., the hidden zeros and corresponding 2-split behavior using the BCFW recursion relation. For the hidden zeros, we show that although the BCFW recursion relation is not directly applicable for computing amplitudes of the non-linear sigma model, we can indeed prove the zeros using the modified BCFW recursion relation. Our work also indicates that for the 2-split to hold, the current should be carefully defined.

Citations

• Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order
• Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams
• New Factorizations of Yang-Mills Amplitudes
• On universal splittings of tree-level particle and string scattering amplitudes
• All-order splits and multi-soft limits for particle and string amplitudes
• Hidden Amplitude Zeros From Double Copy
• A universal splitting of string and particle scattering amplitudes
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• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• Scattering Amplitudes For All Masses and Spins
• On-Shell Recursion Relations for Effective Field Theories
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
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• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Scattering of Massless Particles in Arbitrary Dimension
• On the Tree-Level Structure of Scattering Amplitudes of Massless Particles
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• Relations of loop partial amplitudes in gauge theory by Unitarity cut method
• Proof of Gravity and Yang-Mills Amplitude Relations
• New Identities among Gauge Theory Amplitudes
• Gravity and Yang-Mills Amplitude Relations
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• New relations for gauge-theory amplitudes
• On Tree Amplitudes in Gauge Theory and Gravity
• Consistency Conditions on the S-Matrix of Massless Particles
• New recursion relations for tree amplitudes of gluons

Cited by

• On-shell representation and further instances of the 2-split behavior of amplitudes
• Gauged Soft Recursion: On-Shell Construction of Goldstone-Gauge Amplitudes
• Hidden zeros for higher-derivative YM and GR amplitudes at tree-level
• Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero
• 2-Split of Form Factors via BCFW Recursion Relation
• A new recursion relation for tree-level NLSM amplitudes based on hidden zeros
• A Novel On-Shell Recursive Relation
• Soft theorems of tree-level \rm Tr(ϕ³), YM and NLSM amplitudes from 2-splits
• Smooth Splitting and Zeros from On-Shell Recursion

Related

• A new recursion relation for tree-level NLSM amplitudes based on hidden zeros
• 2-Split of Form Factors via BCFW Recursion Relation
• Roots of Amplitudes
• Off-shell BCJ Relation in Nonlinear Sigma Model
• Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams