Light and Strange Vector Resonances from Lattice QCD at Physical Quark Masses

Peter Boyle, Felix Erben, Vera Gülpers, Maxwell T. Hansen, Fabian Joswig, Michael Marshall, Nelson Pitanga Lachini*, Antonin Portelli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we postdict the defining parameters for two short-lived resonances, the ρ(770) and K∗(892), which manifest as complex energy poles in ππ and Kπ scattering amplitudes, respectively. The calculation proceeds by first computing the finite-volume energy spectrum of the two-hadron systems and then determining the amplitudes from the energies using the Lüscher formalism. The error budget includes a data-driven systematic error, obtained by scanning possible fit ranges and fit models to extract the spectrum from Euclidean correlators, as well as the scattering amplitudes from the latter. The final results, obtained by analytically continuing multiple parametrizations into the complex energy plane, are Mρ=796(5)(50) MeV, Γρ=192(10)(31) MeV, MK∗=893(2)(54) MeV, and ΓK∗=51(2)(11) MeV, where the subscript indicates the resonance and M and Γ stand for the mass and width, respectively, and where the first bracket indicates the statistical and the second bracket the systematic uncertainty.

Original languageEnglish
Article number111901
Pages (from-to)1-7
Number of pages7
JournalPhysical Review Letters
Volume134
Issue number11
Early online date18 Mar 2025
DOIs
Publication statusPublished - 21 Mar 2025

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