Work

Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD

Year: 2025

Type: article

Abstract: A bstract We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted $$ {\mathcal{M}}_0 $$ M 0 , and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep06(2025)186

Authors: André Baião Raposo, Raul A. Briceño, Maxwell T. Hansen, Andrew W. Jackura

Institutions: Ruhr University Bochum, Lawrence Berkeley National Laboratory, University of California, Berkeley, University of Edinburgh, William & Mary

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond