Anatomy of the &rho; resonance from lattice QCD at the physical poin

Wei Sun; Andrei Alexandru; Ying Chen; Terrence Draper; Zhaofeng Liu; Yi-Bo Yang

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

Chinese Physics C> 2018, Vol. 42> Issue(6) : 063102 DOI: 10.1088/1674-1137/42/6/063102

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

Wei Sun ^1,2 ,
Andrei Alexandru ³ ,
Ying Chen ^1,2 ,
Terrence Draper ⁴ ,
Zhaofeng Liu ^1,2 ,
Yi-Bo Yang ⁵

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

Abstract
HTML
Reference
Related

PDF

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 m_π². The slope is determined to be c₁=0.505(3)GeV^-1, from which the valence πρ sigma term is extracted to be σ_πρ^(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 m_ρ=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 f_ρ^-=208.5±5.5±0.9 MeV, which can be compared with the experimental value f_ρ^exp≈221 MeV through the relation f_ρ^exp=√Z_ρf_ρ±, with Z_ρ≈1.13 being the on-shell wavefunction renormalization of ρ owing to the ρ-π interaction. We emphasize that m_ρ and f_ρ 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.
- resonance ,
- leptonic decay constant ,
- renormalization

References

[1]	R. L. Jafie, AIP Conf. Proc., 964: 1 (2007); Prog. Theor. Phys. Suppl., 168: 127 (2007) [arXiv:hep-ph/0701038]
[2]	J. R. Pelaez, Phys. Rev. Lett., 92: 102001 (2004) [arXiv:hepph/0309292]
[3]	X. Feng, K. Jansen, and D. B. Renner, Phys. Rev. D, 83:094505 (2011) [arXiv:1011.5288(hep-lat)]
[4]	C. Pelissier and A. Alexandru, Phys. Rev. D, 87: 014503 (2013) [arXiv:1211.0092 (hep-lat)]
[5]	S. Aoki et al (PACS-CS Collaboration), Phys. Rev. D, 84:094505 (2011) [arXiv:1106.5365 (hep-lat)]
[6]	J. J. Dudek, R. G. Edwards, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. D, 87: 034505 (2013); Phys. Rev. D, 90: 099902(E) (2014) [arXiv:1212.0830 (hep-ph)]
[7]	G. Bali et al (RQCD Collaboration), Phys. Rev. D, 93: 054509 (2016) [arXiv:1512.08678 (hep-lat)]
[8]	D. Guo, A. Alexandru, and R. Molina, Phys. Rev. D, 94:034501 (2016) [arXiv:1605:03993 (hep-lat)]
[9]	Z. Fu and L. Wang, Phys. Rev. D, 94: 034505 (2016) [arXiv:1608.07478 (hep-lat)]
[10]	J. Bulava, B. Fahy, B. Hrz, K. J. Juge, C. Morningstar, and C.H. Wong, Nucl. Phys. B, 910: 842 (2016) [arXiv:1604.05593 (hep-lat)]
[11]	M. Luscher, Commun. Math. Phys., 105: 153 (1986)
[12]	T. Blum et al (RBC and UKQCD Collaborations), Phys. Rev. D, 93: 074505 (2016) [arXiv:1411.7017 (hep-lat)]
[13]	M. Lujan, A. Alexandru, Y. Chen, T. Draper, W. Freeman, M. Gong, F. X. Lee, A. Li, K.-F. Liu, and N. Mathur, Phys. Rev. D, 86: 014501 (2012) [arXiv:1204.6256 (hep-lat)]
[14]	A. Alexandru, M. Lujan, C. Pelissier, B. Gamari and F. X. Lee, arXiv:1106.4964 (hep-lat)
[15]	C. McNeile and C. Michael (UKQCD Collaboration), Phys. Lett. B, 556: 177(2003) [arXiv:hep-lat/0212020]
[16]	P. C. Bruns and U.-G. Meissner, Eur. Phys. J. C, 40: 97 (2005)
[17]	C. W. Bernard et al, Phys. Rev. D, 64: 054506 (2001) [arXiv: hep-lat/0104002]
[18]	D. B. Leinweber, A. W. Thomas, K. Tsushima, and S. V. Wright, Phys. Rev. D, 64: 094502 (2001) [arXiv: heplat/0104013]
[19]	C. R. Allton, W. Armour, D. B. Leinweber, A. W. Thomas, and R. D. Young, Phys. Lett. B, 628: 125 (2005) [arXiv: heplat/0504022]
[20]	W. Armour, C. R. Allton, D. B. Leinweber, A. W. Thomas, and R. D. Young, J. Phys. G, 32: 971 (2006) [arXiv: heplat/0510078]
[21]	R. Lewis and R. M. Woloshyn, Phys. Rev. D, 56: 1571 (1997) [arXiv: hep-lat/9610027]
[22]	A. Ali Khan et al (CP-PACS Collaboration), Phys. Rev. D, 65: 054505 (2002) [arXiv: hep-lat/0105015]
[23]	M. Gockeler, R. Horsley, D. Pleiter, P.E.L. Rakow, G. Schierholz, W. Schroers, H. Stben, and J.M. Zanotti, Proc. Sci. LAT, 2005: 063 (2006) [arXiv: hep-lat/0509196]
[24]	K. Hashimoto and T. Izubuchi, Prog. Theor. Phys., 119: 599 (2008) [arXiv:0803.0186 (hep-lat)]
[25]	K. Jansen, C. McNeile, C. Michael, and C. Urbach (ETM Collaboration), Phys. Rev. D, 80: 054510 (2009) [arXiv:0906.4720 (hep-lat)]
[26]	K. F. Liu, J. Liang, and Y. B. Yang, Phys. Rev. D, 97: 034507 (2018) [arXiv:1705.06358 (hep-lat)]
[27]	Z. Liu, Y. Chen, S.-J. Dong, M. Glatzmaier, M. Gong, A. Li, K.-F. Liu, Y.-B. Yang, and J.-B. Zhang (QCD Collaboration), Phys. Rev. D, 90: 034505 (2014) [arXiv:1312.7628 (hep-lat)]
[28]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001 (2016)
[29]	F. Jegerlehner and R. Szafron, Eur. Phys. J. C, 71: 1632 (2011) [arXiv:1101.2872 (hep-ph)]

References

[1]	R. L. Jafie, AIP Conf. Proc., 964: 1 (2007); Prog. Theor. Phys. Suppl., 168: 127 (2007) [arXiv:hep-ph/0701038]
[2]	J. R. Pelaez, Phys. Rev. Lett., 92: 102001 (2004) [arXiv:hepph/0309292]
[3]	X. Feng, K. Jansen, and D. B. Renner, Phys. Rev. D, 83:094505 (2011) [arXiv:1011.5288(hep-lat)]
[4]	C. Pelissier and A. Alexandru, Phys. Rev. D, 87: 014503 (2013) [arXiv:1211.0092 (hep-lat)]
[5]	S. Aoki et al (PACS-CS Collaboration), Phys. Rev. D, 84:094505 (2011) [arXiv:1106.5365 (hep-lat)]
[6]	J. J. Dudek, R. G. Edwards, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. D, 87: 034505 (2013); Phys. Rev. D, 90: 099902(E) (2014) [arXiv:1212.0830 (hep-ph)]
[7]	G. Bali et al (RQCD Collaboration), Phys. Rev. D, 93: 054509 (2016) [arXiv:1512.08678 (hep-lat)]
[8]	D. Guo, A. Alexandru, and R. Molina, Phys. Rev. D, 94:034501 (2016) [arXiv:1605:03993 (hep-lat)]
[9]	Z. Fu and L. Wang, Phys. Rev. D, 94: 034505 (2016) [arXiv:1608.07478 (hep-lat)]
[10]	J. Bulava, B. Fahy, B. Hrz, K. J. Juge, C. Morningstar, and C.H. Wong, Nucl. Phys. B, 910: 842 (2016) [arXiv:1604.05593 (hep-lat)]
[11]	M. Luscher, Commun. Math. Phys., 105: 153 (1986)
[12]	T. Blum et al (RBC and UKQCD Collaborations), Phys. Rev. D, 93: 074505 (2016) [arXiv:1411.7017 (hep-lat)]
[13]	M. Lujan, A. Alexandru, Y. Chen, T. Draper, W. Freeman, M. Gong, F. X. Lee, A. Li, K.-F. Liu, and N. Mathur, Phys. Rev. D, 86: 014501 (2012) [arXiv:1204.6256 (hep-lat)]
[14]	A. Alexandru, M. Lujan, C. Pelissier, B. Gamari and F. X. Lee, arXiv:1106.4964 (hep-lat)
[15]	C. McNeile and C. Michael (UKQCD Collaboration), Phys. Lett. B, 556: 177(2003) [arXiv:hep-lat/0212020]
[16]	P. C. Bruns and U.-G. Meissner, Eur. Phys. J. C, 40: 97 (2005)
[17]	C. W. Bernard et al, Phys. Rev. D, 64: 054506 (2001) [arXiv: hep-lat/0104002]
[18]	D. B. Leinweber, A. W. Thomas, K. Tsushima, and S. V. Wright, Phys. Rev. D, 64: 094502 (2001) [arXiv: heplat/0104013]
[19]	C. R. Allton, W. Armour, D. B. Leinweber, A. W. Thomas, and R. D. Young, Phys. Lett. B, 628: 125 (2005) [arXiv: heplat/0504022]
[20]	W. Armour, C. R. Allton, D. B. Leinweber, A. W. Thomas, and R. D. Young, J. Phys. G, 32: 971 (2006) [arXiv: heplat/0510078]
[21]	R. Lewis and R. M. Woloshyn, Phys. Rev. D, 56: 1571 (1997) [arXiv: hep-lat/9610027]
[22]	A. Ali Khan et al (CP-PACS Collaboration), Phys. Rev. D, 65: 054505 (2002) [arXiv: hep-lat/0105015]
[23]	M. Gockeler, R. Horsley, D. Pleiter, P.E.L. Rakow, G. Schierholz, W. Schroers, H. Stben, and J.M. Zanotti, Proc. Sci. LAT, 2005: 063 (2006) [arXiv: hep-lat/0509196]
[24]	K. Hashimoto and T. Izubuchi, Prog. Theor. Phys., 119: 599 (2008) [arXiv:0803.0186 (hep-lat)]
[25]	K. Jansen, C. McNeile, C. Michael, and C. Urbach (ETM Collaboration), Phys. Rev. D, 80: 054510 (2009) [arXiv:0906.4720 (hep-lat)]
[26]	K. F. Liu, J. Liang, and Y. B. Yang, Phys. Rev. D, 97: 034507 (2018) [arXiv:1705.06358 (hep-lat)]
[27]	Z. Liu, Y. Chen, S.-J. Dong, M. Glatzmaier, M. Gong, A. Li, K.-F. Liu, Y.-B. Yang, and J.-B. Zhang (QCD Collaboration), Phys. Rev. D, 90: 034505 (2014) [arXiv:1312.7628 (hep-lat)]
[28]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001 (2016)
[29]	F. Jegerlehner and R. Szafron, Eur. Phys. J. C, 71: 1632 (2011) [arXiv:1101.2872 (hep-ph)]

[1]	Hantao Zhang , Dong Bai , Zhongzhou Ren . Analytic continuation in the coupling constant for resonances in ${{}^{{\boldsymbol{9}}}_{{\boldsymbol{\Lambda}}}}$ Be. Chinese Physics C, 2025, 49(1): 014108. doi: 10.1088/1674-1137/ad88fa
[2]	Hantao Zhang , Chao-Feng Chen , Xian-Rong Zhou , Zhongzhou Ren . Resonance of hypernuclei with complex momentum representation. Chinese Physics C, 2025, 49(4): 044101. doi: 10.1088/1674-1137/ad9a8c
[3]	Daren Zhou . Renormalization of one-pion exchange in higher partial waves in chiral effective field theory for antinucleon-nucleon system. Chinese Physics C, 2023, 47(3): 034103. doi: 10.1088/1674-1137/aca467
[4]	Chu-Tian Gao , Xing-Gang Wu , Xu-Dong Huang , Jun Zeng . Total decay width of ${\boldsymbol{H} \boldsymbol\to \boldsymbol{gg} }$ using the infinite-order scale-setting approach based on intrinsic conformality. Chinese Physics C, 2022, 46(12): 123109. doi: 10.1088/1674-1137/ac92da
[5]	Constanza Callender , Alfonso R. Zerwekh . A dark vector resonance at CLIC. Chinese Physics C, 2019, 43(6): 063102. doi: 10.1088/1674-1137/43/6/063102
[6]	Xu-Wei Sun , Jing Chen , Ding-Hui Lu . Stagnancy of the pygmy dipole resonance. Chinese Physics C, 2018, 42(1): 014101. doi: 10.1088/1674-1137/42/1/014101
[7]	Zhi-zhong Xing , Shun Zhou . Naumov-and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos. Chinese Physics C, 2018, 42(10): 103105. doi: 10.1088/1674-1137/42/10/103105
[8]	Shi Bu , Xing-Gang Wu , Jian-Ming Shen , Jun Zeng . Properties of the free energy density using the principle ofmaximum conformality. Chinese Physics C, 2018, 42(8): 083105. doi: 10.1088/1674-1137/42/8/083105
[9]	Si-Jie Dai , Fu-Rong Xu , Jian-Guo Li , Bai-Shan Hu , Zhong-Hao Sun . Continuum effect in resonance spectra of neutron-rich oxygen isotopes. Chinese Physics C, 2018, 42(11): 114106. doi: 10.1088/1674-1137/42/11/114106
[10]	Ying Chen , Wei-Feng Chiu , Ming Gong , Long-Cheng Gui , Zhao-Feng Liu . Exotic vector charmonium and its leptonic decay width. Chinese Physics C, 2016, 40(8): 081002. doi: 10.1088/1674-1137/40/8/081002
[11]	TANG Mei-Tang , YANG Xiao-Dong , MAO Li-Jun , LI Jie , MA Xiao-Ming , YAN Tai-Lai , ZHENG Wen-Heng , ZHAO He , WU Bo , WANG Geng , RUAN Shuang , SHA Xiao-Ping . Side-effects of the space charge field introduced by a hollow electron beam in the electron cooler of CSRm. Chinese Physics C, 2015, 39(12): 127003. doi: 10.1088/1674-1137/39/12/127003
[12]	ZHANG Yong-Jun , ZHANG Bin . Proton sea quark flavour asymmetry and Roper resonance. Chinese Physics C, 2012, 36(3): 189-193. doi: 10.1088/1674-1137/36/3/001
[13]	XIAO Kai , ZHOU You , SHI Shu-Su , WU Ke-Jun , LIU Feng . Effects of elliptic flow and resonance decay process on the Kurtosis of net baryon distributions. Chinese Physics C, 2011, 35(5): 467-470. doi: 10.1088/1674-1137/35/5/012
[14]	XIE Zhen-Xing , FENG Guan-Qiu , GUO Xin-Heng . Radiative leptonic decay B^－_c→τ^－ν_τγ in the standard model and the two-Higgs-doublet model. Chinese Physics C, 2010, 34(10): 1570-1575. doi: 10.1088/1674-1137/34/10/004
[15]	K. B. Vijaya Kumar , Antony Prakash Monteiro . Light meson spectrum and their leptonic decay widths in the frame work of constituent quark models. Chinese Physics C, 2010, 34(9): 1396-1398. doi: 10.1088/1674-1137/34/9/052
[16]	Kyungseon Joo (for the CLAS collaboration) . Single π⁰ electro-production in the resonance region with CLAS. Chinese Physics C, 2009, 33(12): 1254-1256. doi: 10.1088/1674-1137/33/12/033
[17]	HUANG Fei . Resonance properties from a coupled channel meson exchange model. Chinese Physics C, 2009, 33(12): 1273-1278. doi: 10.1088/1674-1137/33/12/037
[18]	D. Drechsel , S.S. Kamalov , M. Vanderhaeghen . Baryon resonance analysis from MAID. Chinese Physics C, 2009, 33(12): 1069-1076. doi: 10.1088/1674-1137/33/12/005
[19]	Zhang Lin , Yu Hong , Shen Qixing . Angular Distribution of the Process e⁺e^-→J/ψ→γ+X(J^Pc),X→BB,and the Spin-Parity Analysis of the Resonance X. Chinese Physics C, 1996, 20(S2): 135-140.
[20]	Shen Qixing , Yu Hong , Zhang Lin . Study of the Boson Resonance Produced in the Three-Step Two-Body Decay Process of/ψ. Chinese Physics C, 1995, 19(S1): 39-50.

Access

Cited by

1.	Zhang, H., Bai, D., Ren, Z. Quantum computing for extracting nuclear resonances[J]. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2025. doi: 10.1016/j.physletb.2024.139187
2.	Yan, H., Mai, M., Garofalo, M. et al. ω Meson from Lattice QCD[J]. Physical Review Letters, 2024, 133(21): 211906. doi: 10.1103/PhysRevLett.133.211906
3.	Ortega-Gama, F.G., Dudek, J.J., Edwards, R.G. Timelike meson form factors beyond the elastic region from lattice QCD[J]. Physical Review D, 2024, 110(9): 094505. doi: 10.1103/PhysRevD.110.094505
4.	Voronin, V.. Leptonic and semileptonic decays of mesons in the domain model of the QCD vacuum[J]. Physical Review D, 2024, 110(1): 014040. doi: 10.1103/PhysRevD.110.014040
5.	Rodas, A., Dudek, J.J., Edwards, R.G. Determination of crossing-symmetric ππ scattering amplitudes and the quark mass evolution of the σ constrained by lattice QCD[J]. Physical Review D, 2024, 109(3): 034513. doi: 10.1103/PhysRevD.109.034513
6.	Mai, M., Meißner, U.-G., Urbach, C. Towards a theory of hadron resonances[J]. Physics Reports, 2023. doi: 10.1016/j.physrep.2022.11.005
7.	Altenkort, L., Eller, A.M., Kaczmarek, O. et al. Lattice QCD noise reduction for bosonic correlators through blocking[J]. Physical Review D, 2022, 105(9): 094505. doi: 10.1103/PhysRevD.105.094505
8.	Yang, Y., Li, Z., Li, K. et al. Purely leptonic decays of the ground charged vector mesons[J]. European Physical Journal C, 2021, 81(12): 1110. doi: 10.1140/epjc/s10052-021-09908-w
9.	Chen, Y., Chiu, W.-F., Gong, M. et al. Charmed and φ meson decay constants from 2+1-flavor lattice QCD[J]. Chinese Physics C, 2021, 45(2): 023109. doi: 10.1088/1674-1137/abcd8f
10.	Yamaguchi, Y., Yamanaka, N. Quark level and hadronic contributions to the electric dipole moment of charged leptons in the standard model[J]. Physical Review D, 2021, 103(1): 013001. doi: 10.1103/PhysRevD.103.013001
11.	Li, H.-N., Umeeda, H. QCD sum rules with spectral densities solved in inverse problems[J]. Physical Review D, 2020, 102(11): 114014. doi: 10.1103/PhysRevD.102.114014
12.	Ivanov, M.A., Körner, J.G., Pandya, J.N. et al. Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model[J]. Frontiers of Physics, 2019, 14(6): 64401. doi: 10.1007/s11467-019-0908-1

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-03-08

Fund

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)

Article Metric

Article Views(2663)
PDF Downloads(22)
Cited by(12)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Abstract：

References

References

Access

Cited by

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录