Work

Diagrammatic Derivation of Hidden Zeros and Exact Factorization of Pion Scattering Amplitudes

Year: 2025

Type: article

Abstract: Pion scattering amplitudes were recently found to vanish on specific kinematic loci, and to factorize close to these loci into a product of two lower-point amplitudes of an extended theory. We propose a diagrammatic representation of pion amplitudes that makes their vanishing on the loci manifest diagram by diagram. Moreover, we provide evidence that there is a closed-form expression for the amplitudes that generalizes the near-zero factorization in an exact manner, not only close to the loci but for all kinematic configurations. Our approach crucially relies on a novel formulation of the effective field theory of pions, in which tree-level scattering amplitudes are extracted from classical field equations for a set of covariantly conserved currents and emergent composite gauge fields.

Source: Physical Review Letters

DOI: 10.1103/1krs-lfqv

Authors: Yang Li, Tianzhi Wang, Tomáš Brauner, Diederik Roest

Institutions: University of Groningen, University of Stavanger

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funder: China Scholarship Council