Study of the pion-mass dependence of ρ-meson properties in lattice QCD
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Date
2024
Authors
Yu, K.
Li, Y.
Wu, J.-J.
Leinweber, D.B.
Thomas, A.W.
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Physical Review D (particles, fields, gravitation, and cosmology), 2024; 109(3):034505-1-034505-26
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Kang Yu, Yan Li, Jia-Jun Wu, Derek B. Leinweber, and Anthony W. Thomas
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Abstract
We collect spectra extracted in the I ¼ l ¼ 1 ππ sector provided by various lattice QCD collaborations and study the mπ 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 mπ, while the mass of the bare ρ, associated with a simple quark-model state, shows a linear dependence on m2 π. 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 mπ and expose interesting discrepancies in contemporary lattice QCD results.
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3 .