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

Journal Article · 17 March 2025 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.134.111901 · OSTI ID:2531129

Boyle, P. A. ^[1]; Erben, Felix ^[2]; Gülpers, Vera ^[3]; Hansen, Maxwell T. ^[3]; Joswig, Fabian ^[3]; Marshall, Michael ^[3]; Lachini, Nelson Pitanga ^[4]; Portelli, Antonin ^[5]

---

1. Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Edinburgh, Scotland (United Kingdom)
2. European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Edinburgh, Scotland (United Kingdom)
3. Univ. of Edinburgh, Scotland (United Kingdom)
4. Univ. of Cambridge (United Kingdom); Univ. of Edinburgh, Scotland (United Kingdom)
5. Univ. of Edinburgh, Scotland (United Kingdom); European Organization for Nuclear Research (CERN), Geneva (Switzerland); RIKEN Center for Computational Science, Kobe (Japan)

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 M_ρ = 796(5)(50)MeV, Γ_ρ = 192(10)(31) MeV, M_K* = 893(2)(54) MeV, and Γ_K = 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.

• Research Organization: Brookhaven National Laboratory (BNL), Upton, NY (United States)
• Sponsoring Organization: European Research Council (ERC); Marie Skłodowska-Curie Actions (MSCA); Royal Society; Science and Technology Facilities Council (STFC); UK Research and Innovation (UKRI); USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: SC0012704
• OSTI ID: 2531129
• Report Number(s): BNL-228262-2025-JAAM
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 134; ISSN 0031-9007
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English