AIP Conference Proceedings
In this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at mπ = 236 MeV , for the isotriplet ππ channel are analyzed using the Lüscher method to determine the infinite-volume scattering amplitude. Unitarized Chiral Perturbation Theory is then used to extrapolate the scattering amplitude to the physical light quark masses. The viability of this procedure is demonstrated by its agreement with the experimentally determined scattering phase shift up to center-of-mass energies of 1.2 GeV. Finally, we analytically continue the amplitude to the complex plane to obtain the ρ-pole at [755(2)(1)(2002) - i/2 129(3)(1)(7/1)] MeV
Original Publication Citation
Bolton, D. R., Briceño, R. A., & Wilson, D. J. (2016). From QCD to physical resonances. AIP Conference Proceedings, 1735(1), 1-6, Article 030011. https://doi.org/10.1063/1.4949394
Bolton, Daniel R.; Briceño, Raúl A.; and Wilson, David J., "From QCD to Physical Resonances" (2016). Physics Faculty Publications. 619.