Projects per year
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 language | English |
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Article number | 111901 |
Pages (from-to) | 1-7 |
Number of pages | 7 |
Journal | Physical Review Letters |
Volume | 134 |
Issue number | 11 |
Early online date | 18 Mar 2025 |
DOIs | |
Publication status | Published - 21 Mar 2025 |
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Particle Theory At The Higgs Centre
Ball, R. (Principal Investigator)
1/10/23 → 30/09/26
Project: Research
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Particle Theory at the Higgs Centre
Ball, R. (Principal Investigator)
1/10/20 → 30/09/24
Project: Research
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EuroPLEx: European network for Particle physics, Lattice field theory and Extreme computing
Portelli, A. (Principal Investigator)
1/01/19 → 30/09/23
Project: Research