Study of the pion-mass dependence of ρ-meson properties in lattice QCD

2023/11/07 by Y. Kang, Li Yan, Yu, Kang +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2311.03903

openalex publication_date 2023/11/07 · openalex created_date 2023/11/09 · openalex updated_date 2026/07/28

Abstract

We collect spectra extracted in the I=ℓ=1 ππ sector provided by various lattice QCD collaborations and study the m_π dependence of ρ-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified analysis, the coupling constant and cutoff mass, characterizing the ρ- ππ vertex, are both found to be weakly dependent on m_π, while the mass of the bare ρ, associated with a simple quark-model state, shows a linear dependence on m_π². Both the lattice results and experimental data can be described well. Drawing on HEFT's ability to describe the pion mass dependence of resonances in a single formalism, we map the dependence of the phase shift as a function of m_π, and expose interesting discrepancies in contemporary lattice QCD results.

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