@article{5ab98a990d8b4345892b8737d3e71524,
title = "I=1 /2 S -wave and P -wave Kπ scattering and the κ and K∗ resonances from lattice QCD",
abstract = "We present a lattice-QCD determination of the elastic isospin-1/2 S-wave and P-wave Kπ scattering amplitudes as a function of the center-of-mass energy using L{\"u}scher's method. We perform global fits of K-matrix parametrizations to the finite-volume energy spectra for all irreducible representations with total momenta up to 32πL; this includes irreducible representations (irreps) that mix the S- and P-waves. Several different parametrizations for the energy dependence of the K-matrix are considered. We also determine the positions of the nearest poles in the scattering amplitudes, which correspond to the broad κ resonance in the S-wave and the narrow K∗(892) resonance in the P-wave. Our calculations are performed with 2+1 dynamical clover fermions for two different pion masses of 317.2(2.2) and 175.9(1.8) MeV. Our preferred S-wave parametrization is based on a conformal map and includes an Adler zero; for the P-wave, we use a standard pole parametrization including Blatt-Weisskopf barrier factors. The S-wave κ-resonance pole positions are found to be [0.86(12)-0.309(50)i] GeV at the heavier pion mass and [0.499(55)-0.379(66)i] GeV at the lighter pion mass. The P-wave K∗-resonance pole positions are found to be [0.8951(64)-0.00250(21)i] GeV at the heavier pion mass and [0.8718(82)-0.0130(11)i] GeV at the lighter pion mass, which corresponds to couplings of gK∗Kπ=5.02(26) and gK∗Kπ=4.99(22), respectively.",
author = "Gumaro Rendon and Luka Leskovec and Stefan Meinel and John Negele and Srijit Paul and Marcus Petschlies and Andrew Pochinsky and Giorgio Silvi and Sergey Syritsyn",
note = "Funding Information: We thank Kostas Orginos, Balint Jo{\'o}, Robert Edwards, and their collaborators for providing the gauge-field configurations. Computations for this work were carried out in part on 1) facilities of the USQCD Collaboration, which are funded by the Office of Science of the U.S. Department of Energy; 2) facilities of the Leibniz Supercomputing Centre, which is funded by the Gauss Centre for Supercomputing; 3) facilities at the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH1123; 4) facilities of the Extreme Science and Engineering Discovery Environment , which is supported by National Science Foundation Grant No. ACI-1548562; and 5) the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725. S. M. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009913. M. P. gratefully acknowledges support by the Sino-German collaborative research center CRC-110. J. N. and A. P. are supported in part by the U.S. Department of Energy, Office of Nuclear Physics under Grants No. DE-SC0011090 and No. DE-SC0018121, respectively. G. R. is supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-SC0012704 (BNL). L. L. acknowledges support from the U.S. Department of Energy, Office of Science, through Contracts No. DE-SC0019229 and No. DE-AC05-06OR23177 (JLAB). S. S. is supported by the National Science Foundation under CAREER Grant No. PHY-1847893 and by the RHIC Physics Fellow Program of the RIKEN BNL Research Center. Notice: This manuscript has been authored by employees of Brookhaven Science Associates, LLC, under Contract No. DE-SC0012704 with the U.S. Department of Energy. The publisher by accepting the manuscript for publication acknowledges that the United States Government retains a non-exclusive, paid-up,irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof. Publisher Copyright: {\textcopyright} 2020 authors. Published by the American Physical Society.",
year = "2020",
month = dec,
day = "28",
doi = "10.1103/PhysRevD.102.114520",
language = "English (US)",
volume = "102",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "11",
}