PoS - Proceedings of Science
Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Hadronic and Nuclear Spectrum and Interactions
Study of the pion-mass dependence of $\rho$-meson properties in lattice QCD
K. Yu*, Y. Li, J.J. Wu, D. Leinweber and A. Thomas
Full text: pdf
Pre-published on: January 15, 2025
Published on:
Abstract
We collect spectra extracted in the $I=\ell=1$ $\pi\pi$ sector provided by various lattice QCD collaborations and study the $m_\pi$ dependence of $\rho$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified analysis, the coupling constant and cutoff mass, characterizing the $\rho - \pi \pi$ vertex, are both found to be weakly dependent on $m_\pi$, while the mass of the bare $\rho$, associated with a simple quark-model state, shows a linear dependence on $m_\pi^2$. 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 $m_\pi$, and expose interesting discrepancies in contemporary lattice QCD results.
DOI: https://doi.org/10.22323/1.466.0077
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.