002902570 001__ 2902570
002902570 005__ 20240921041805.0
002902570 0248_ $$aoai:cds.cern.ch:2902570$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN
002902570 037__ $$9arXiv:reportnumber$$aCERN-TH-2024-088
002902570 037__ $$9arXiv$$aarXiv:2406.19194$$chep-lat
002902570 035__ $$9arXiv$$aoai:arXiv.org:2406.19194
002902570 035__ $$9Inspire$$aoai:inspirehep.net:2802550$$d2024-09-19T14:44:53Z$$h2024-09-21T02:00:20Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d
002902570 035__ $$9Inspire$$a2802550
002902570 041__ $$aeng
002902570 100__ $$aBoyle, Peter$$uBrookhaven$$uEdinburgh U.$$vPhysics Department, Brookhaven National Laboratory, Upton NY 11973, USA$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
002902570 245__ $$9arXiv$$aLight and strange vector resonances from lattice QCD at physical quark masses
002902570 269__ $$c2024-06-27
002902570 300__ $$a7 p
002902570 520__ $$9arXiv$$aWe 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 $\rho(770)$ and $K^*(892)$, which manifest as complex energy poles in $\pi \pi$ and $K \pi$ 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 parameterizations into the complex energy plane, are $M_\rho = 796(5)(50)~\mathrm{MeV}$, $\Gamma_\rho = 192(10)(31)~\mathrm{MeV}$, $M_{K^*} = 893(2)(54)~\mathrm{MeV}$ and $\Gamma_{K^*} = 51(2)(11)~\mathrm{MeV}$, where the subscript indicates the resonance and $M$ and $\Gamma$ stand for the mass and width, respectively, and where the first bracket indicates the statistical and the second bracket the systematic uncertainty.
002902570 540__ $$3preprint$$aarXiv nonexclusive-distrib 1.0$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002902570 595__ $$aCERN-TH
002902570 65017 $$2arXiv$$ahep-ph
002902570 65017 $$2SzGeCERN$$aParticle Physics - Phenomenology
002902570 65017 $$2arXiv$$ahep-lat
002902570 65017 $$2SzGeCERN$$aParticle Physics - Lattice
002902570 690C_ $$aCERN
002902570 690C_ $$aPREPRINT
002902570 700__ $$aErben, Felix$$uEdinburgh U.$$uCERN$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom$$vCERN, Theoretical Physics Department, Geneva, Switzerland
002902570 700__ $$aGülpers, Vera$$uEdinburgh U.$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
002902570 700__ $$aHansen, Maxwell T.$$uEdinburgh U.$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
002902570 700__ $$aJoswig, Fabian$$uEdinburgh U.$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
002902570 700__ $$aLachini, Nelson Pitanga$$uEdinburgh U.$$uCambridge U., DAMTP$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom$$vDAMTP, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA, UK
002902570 700__ $$aMarshall, Michael$$uEdinburgh U.$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
002902570 700__ $$aPortelli, Antonin$$uEdinburgh U.$$uCERN$$uRIKEN AICS, Kobe$$vSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom$$vCERN, Theoretical Physics Department, Geneva, Switzerland$$vRIKEN Center for Computational Science, Kobe 650-0047, Japan
002902570 8564_ $$82540508$$s16455$$uhttps://cds.cern.ch/record/2902570/files/ps_poles_exp_summary.png$$y00001 \textit{Left panel:} Results for the scattering phase shift for $K \pi \to K \pi$ and $\pi \pi \to \pi \pi$ (colorful), where the bands represent the uncertainties from statistical and data-driven systematic sources and \textit{do not} include other systematic errors, together with experimental phase-shift data (gray)~\citep{Protopopescu:1973sh,Estabrooks:1974vu,Estabrooks:1977xe,Aston:1987ir}. \textit{Right panel:} Resonance pole positions extracted from the second Riemann sheet, with statistical and data-driven systematics (colorful, larger error caps), and the other estimated systematics (colorful, fainter, smaller error caps) dominated by a conservative estimation of discretization effects due to the use of a single lattice spacing. In each case, all uncertainties were added in quadrature. The PDG averages (gray) come from unitarized chiral perturbation theory and dispersive analysis applied to experimental data~\citep{Pelaez:2020uiw, Colangelo:2001df, Garcia-Martin:2011nna,PDG2022}.
002902570 8564_ $$82540509$$s678337$$uhttps://cds.cern.ch/record/2902570/files/2406.19194.pdf$$yFulltext
002902570 8564_ $$82540510$$s6310$$uhttps://cds.cern.ch/record/2902570/files/spectrum_modelavg_summary.png$$y00000 Finite-volume energy spectra extracted in this work for $K^*(892)$ (left panel) and $\rho(770)$ (right panel) quantum numbers and all irreducible representations considered. The span of the black rectangles represents statistical uncertainty and that of the colorful lighter ones is a data-driven systematic uncertainty determined from model averaging, as described in the main text. Relevant thresholds are indicated with grey lines.
002902570 960__ $$a11
002902570 980__ $$aPREPRINT