Anatomy of the ρ resonance from lattice QCD at the physical poin

  • We propose a strategy to access the qq component of the ρ resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at difierent valence quark masses, and shows a linear dependence on mπ2. The slope is determined to be c1=0.505(3)GeV-1, from which the valence πρ sigma term is extracted to be σπρ(val)=9.82(6) MeV using the Feynman-Hellman theorem. At the physical pion mass, the mass of the qq component is interpolated to be mρ=775.9±6.0±1.8 MeV, which is close to the ρ resonance mass. We also obtain the leptonic decay constant of the qq component to be fρ-=208.5±5.5±0.9 MeV, which can be compared with the experimental value fρexp≈221 MeV through the relation fρexp=√Zρfρ±, with Zρ≈1.13 being the on-shell wavefunction renormalization of ρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the flrst time from QCD, can be taken as the input parameters of ρ in efiective fleld theory studies where ρ acts as a fundamental degree of freedom.
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Wei Sun, Andrei Alexandru, Ying Chen, Terrence Draper, Zhaofeng Liu and Yi-Bo Yang. Anatomy of the ρ resonance from lattice QCD at the physical poin[J]. Chinese Physics C, 2018, 42(6): 063102. doi: 10.1088/1674-1137/42/6/063102
Wei Sun, Andrei Alexandru, Ying Chen, Terrence Draper, Zhaofeng Liu and Yi-Bo Yang. Anatomy of the ρ resonance from lattice QCD at the physical poin[J]. Chinese Physics C, 2018, 42(6): 063102.  doi: 10.1088/1674-1137/42/6/063102 shu
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Received: 2018-03-08
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    Supported in part by the U.S. DOE Grant No. DE-SC0013065, the National Nature Science Foundation of China (NSFC) (11335001, 11575196, 11575197, 11621131001) (CRC110 by DFG and NSFC), A. A. is supported in part by the National Science Foundation CAREER (PHY-1151648) and by U.S. DOE (DE-FG02-95ER40907), Y. C. thanks the CAS Center for Excellence in Particle Physics (CCEPP) for their support, this research used the resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the O-ce of Science of the U.S. Department of Energy (DE-AC05-00OR22725)

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Anatomy of the ρ resonance from lattice QCD at the physical poin

  • 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
  • 2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3.  Department of Physics, George Washington University, Washington, DC 20052, USA
  • 4.  Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA
Fund Project:  Supported in part by the U.S. DOE Grant No. DE-SC0013065, the National Nature Science Foundation of China (NSFC) (11335001, 11575196, 11575197, 11621131001) (CRC110 by DFG and NSFC), A. A. is supported in part by the National Science Foundation CAREER (PHY-1151648) and by U.S. DOE (DE-FG02-95ER40907), Y. C. thanks the CAS Center for Excellence in Particle Physics (CCEPP) for their support, this research used the resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the O-ce of Science of the U.S. Department of Energy (DE-AC05-00OR22725)

Abstract: We propose a strategy to access the qq component of the ρ resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at difierent valence quark masses, and shows a linear dependence on mπ2. The slope is determined to be c1=0.505(3)GeV-1, from which the valence πρ sigma term is extracted to be σπρ(val)=9.82(6) MeV using the Feynman-Hellman theorem. At the physical pion mass, the mass of the qq component is interpolated to be mρ=775.9±6.0±1.8 MeV, which is close to the ρ resonance mass. We also obtain the leptonic decay constant of the qq component to be fρ-=208.5±5.5±0.9 MeV, which can be compared with the experimental value fρexp≈221 MeV through the relation fρexp=√Zρfρ±, with Zρ≈1.13 being the on-shell wavefunction renormalization of ρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the flrst time from QCD, can be taken as the input parameters of ρ in efiective fleld theory studies where ρ acts as a fundamental degree of freedom.

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