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

doi:10.1088/1674-1137/42/6/063102

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

Physics And Astronomy

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Abstract

We propose a strategy to access the qq component of the resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at dierent valence quark masses, and shows a linear dependence on m²_π. The slope is determined to be c1=0:505(3)GeV^-1, from which the valence πρ sigma term is extracted to be δ(val) πρ = 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 f exp ρ ≈221 MeV through the relation fexp ρ = p Zρfρ ±, with Zρ≈1:13 being the on-shell wavefunction renormalization ofρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the first time from QCD, can be taken as the input parameters of ρ in eective field theory studies where ρ acts as a fundamental degree of freedom.

Original language	English
Article number	063102
Journal	Chinese Physics C
Volume	42
Issue number	6
DOIs	https://doi.org/10.1088/1674-1137/42/6/063102
State	Published - May 2018

Bibliographical note

Funding Information:
Received 8 March 2018, Published online 27 April 2018 ∗ 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 Office of Science of the U.S. Department of Energy (DE-AC05-00OR22725) 1) E-mail: cheny@ihep.ac.cn Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd

Publisher Copyright:
© 2018 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

Keywords

leptonic decay constant
renormalization
ρ resonance

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation
Astronomy and Astrophysics

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10.1088/1674-1137/42/6/063102

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@article{9679da8ed37342daa8a80d5790253ea5,

title = "Anatomy of the ρ resonance from lattice QCD at the physical point",

abstract = "We propose a strategy to access the qq component of the resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at dierent valence quark masses, and shows a linear dependence on m2π. The slope is determined to be c1=0:505(3)GeV-1, from which the valence πρ sigma term is extracted to be δ(val) πρ = 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 f exp ρ ≈221 MeV through the relation fexp ρ = p Zρfρ ±, with Zρ≈1:13 being the on-shell wavefunction renormalization ofρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the first time from QCD, can be taken as the input parameters of ρ in eective field theory studies where ρ acts as a fundamental degree of freedom.",

keywords = "leptonic decay constant, renormalization, ρ resonance",

author = "Wei Sun and Andrei Alexandru and Ying Chen and Terrence Draper and Zhaofeng Liu and Yang, {Yi Bo}",

note = "Funding Information: Received 8 March 2018, Published online 27 April 2018 ∗ 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 Office of Science of the U.S. Department of Energy (DE-AC05-00OR22725) 1) E-mail: cheny@ihep.ac.cn Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd Publisher Copyright: {\textcopyright} 2018 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.",

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doi = "10.1088/1674-1137/42/6/063102",

language = "English",

volume = "42",

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T1 - Anatomy of the ρ resonance from lattice QCD at the physical point

AU - Sun, Wei

AU - Alexandru, Andrei

AU - Chen, Ying

AU - Draper, Terrence

AU - Liu, Zhaofeng

AU - Yang, Yi Bo

N1 - Funding Information: Received 8 March 2018, Published online 27 April 2018 ∗ 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 Office of Science of the U.S. Department of Energy (DE-AC05-00OR22725) 1) E-mail: cheny@ihep.ac.cn Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd Publisher Copyright: © 2018 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

PY - 2018/5

Y1 - 2018/5

N2 - We propose a strategy to access the qq component of the resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at dierent valence quark masses, and shows a linear dependence on m2π. The slope is determined to be c1=0:505(3)GeV-1, from which the valence πρ sigma term is extracted to be δ(val) πρ = 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 f exp ρ ≈221 MeV through the relation fexp ρ = p Zρfρ ±, with Zρ≈1:13 being the on-shell wavefunction renormalization ofρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the first time from QCD, can be taken as the input parameters of ρ in eective field theory studies where ρ acts as a fundamental degree of freedom.

AB - We propose a strategy to access the qq component of the resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the qq component is derived at dierent valence quark masses, and shows a linear dependence on m2π. The slope is determined to be c1=0:505(3)GeV-1, from which the valence πρ sigma term is extracted to be δ(val) πρ = 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 f exp ρ ≈221 MeV through the relation fexp ρ = p Zρfρ ±, with Zρ≈1:13 being the on-shell wavefunction renormalization ofρ owing to the ρ-π interaction. We emphasize that mρ and fρ of the qq component, which are obtained for the first time from QCD, can be taken as the input parameters of ρ in eective field theory studies where ρ acts as a fundamental degree of freedom.

KW - leptonic decay constant

KW - renormalization

KW - ρ resonance

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

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Keywords

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