Physical-mass calculation of $ρ(770)$ and $K^*(892)$ resonance parameters via $ππ$ and $K π$ scattering amplitudes from lattice QCD
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2024
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| author | Boyle, Peter Erben, Felix Gülpers, Vera Hansen, Maxwell T. Joswig, Fabian Lachini, Nelson Pitanga Marshall, Michael Portelli, Antonin |
| author_facet | Boyle, Peter Erben, Felix Gülpers, Vera Hansen, Maxwell T. Joswig, Fabian Lachini, Nelson Pitanga Marshall, Michael Portelli, Antonin |
| contents | We present our study of the $ρ(770)$ and $K^*(892)$ resonances from lattice quantum chromodynamics (QCD) employing domain-wall fermions at physical quark masses. We determine the finite-volume energy spectrum in various momentum frames and obtain phase-shift parameterizations via the Lüscher formalism, and as a final step the complex resonance poles of the $ππ$ and $K π$ elastic scattering amplitudes via an analytical continuation of the models. By sampling a large number of representative sets of underlying energy-level fits, we also assign a systematic uncertainty to our final results. This is a significant extension to data-driven analysis methods that have been used in lattice QCD to date, due to the two-step nature of the formalism. Our final pole positions, $M+iΓ/2$, with all statistical and systematic errors exposed, are $M_{K^{*}} = 893(2)(8)(54)(2)~\mathrm{MeV}$ and $Γ_{K^{*}} = 51(2)(11)(3)(0)~\mathrm{MeV}$ for the $K^*(892)$ resonance and $M_ρ = 796(5)(15)(48)(2)~\mathrm{MeV}$ and $Γ_ρ = 192(10)(28)(12)(0)~\mathrm{MeV}$ for the $ρ(770)$ resonance. The four differently grouped sources of uncertainties are, in the order of occurrence: statistical, data-driven systematic, an estimation of systematic effects beyond our computation (dominated by the fact that we employ a single lattice spacing), and the error from the scale-setting uncertainty on our ensemble. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_19193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Physical-mass calculation of $ρ(770)$ and $K^*(892)$ resonance parameters via $ππ$ and $K π$ scattering amplitudes from lattice QCD Boyle, Peter Erben, Felix Gülpers, Vera Hansen, Maxwell T. Joswig, Fabian Lachini, Nelson Pitanga Marshall, Michael Portelli, Antonin High Energy Physics - Lattice High Energy Physics - Phenomenology We present our study of the $ρ(770)$ and $K^*(892)$ resonances from lattice quantum chromodynamics (QCD) employing domain-wall fermions at physical quark masses. We determine the finite-volume energy spectrum in various momentum frames and obtain phase-shift parameterizations via the Lüscher formalism, and as a final step the complex resonance poles of the $ππ$ and $K π$ elastic scattering amplitudes via an analytical continuation of the models. By sampling a large number of representative sets of underlying energy-level fits, we also assign a systematic uncertainty to our final results. This is a significant extension to data-driven analysis methods that have been used in lattice QCD to date, due to the two-step nature of the formalism. Our final pole positions, $M+iΓ/2$, with all statistical and systematic errors exposed, are $M_{K^{*}} = 893(2)(8)(54)(2)~\mathrm{MeV}$ and $Γ_{K^{*}} = 51(2)(11)(3)(0)~\mathrm{MeV}$ for the $K^*(892)$ resonance and $M_ρ = 796(5)(15)(48)(2)~\mathrm{MeV}$ and $Γ_ρ = 192(10)(28)(12)(0)~\mathrm{MeV}$ for the $ρ(770)$ resonance. The four differently grouped sources of uncertainties are, in the order of occurrence: statistical, data-driven systematic, an estimation of systematic effects beyond our computation (dominated by the fact that we employ a single lattice spacing), and the error from the scale-setting uncertainty on our ensemble. |
| title | Physical-mass calculation of $ρ(770)$ and $K^*(892)$ resonance parameters via $ππ$ and $K π$ scattering amplitudes from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.19193 |