A comprehensive revisit of the &rho; meson with improved Monte-Carlo based QCD sum rules

Qi-Nan Wang; Zhu-Feng Zhang; T. G. Steele; Hong-Ying Jin; Zhuo-Ran Huang

doi:10.1088/1674-1137/41/7/074107

Chinese Physics C> 2017, Vol. 41> Issue(7) : 074107 DOI: 10.1088/1674-1137/41/7/074107

A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules

1.
Physics Department, Ningbo University, Zhejiang 315211, China
2.
Physics Department, Ningbo University, Zhejiang 315211, China
3.
Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
4.
Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
5.
Zhejiang Institute of Modern Physics, Zhejiang University, Zhejiang 310027, China
6.
Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
7.
Zhejiang Institute of Modern Physics, Zhejiang University, Zhejiang 310027, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We improve the Monte-Carlo based QCD sum rules by introducing the rigorous Hölder-inequality-determined sum rule window and a Breit-Wigner type parametrization for the phenomenological spectral function. In this improved sum rule analysis methodology, the sum rule analysis window can be determined without any assumptions on OPE convergence or the QCD continuum. Therefore, an unbiased prediction can be obtained for the phenomenological parameters (the hadronic mass and width etc.). We test the new approach in the ρ meson channel with re-examination and inclusion of α_s corrections to dimension-4 condensates in the OPE. We obtain results highly consistent with experimental values. We also discuss the possible extension of this method to some other channels.
- QCD sum rules ,
- H ,
- lder inequality ,
- phenomenological spectral function ,
- s corrections to dimension-4 operators

References

[1]	M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B, 147: 448 (1979)
[2]	M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B, 147: 385 (1979)
[3]	L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rept., 127: 1 (1985)
[4]	S. Narison, Nucl. Phys. Proc. Suppl., 207-208: 315 (2010) [arXiv:1010.1959 [hep-ph]]
[5]	S. Narison, Nucl. Part. Phys. Proc., 258-259: 189 (2015) [arXiv:1409.8148 [hep-ph]]
[6]	S. Narison, Phys. Lett. B, 738: 346 (2014) [arXiv:1401.3689 [hep-ph]]
[7]	S. Narison, Nucl. Part. Phys. Proc., 270-272: 143 (2016) [arXiv:1511.05903 [hep-ph]]
[8]	R. Albuquerque, S. Narison, A. Rabemananjara, and D. Rabetiarivony, Int. J. Mod. Phys. A, 31(17): 1650093 (2016) [arXiv:1604.05566 [hep-ph]]
[9]	Z. R. Huang, H. Y. Jin, T. G. Steele, and Z. F. Zhang, Phys. Rev. D, 94(5): 054037 (2016) [arXiv:1608.03028 [hep-ph]]
[10]	R. Albuquerque, S. Narison, F. Fanomezana, A. Rabemananjara, D. Rabetiarivony, and G. Randriamanatrika, Int. J. Mod. Phys. A, 31(36): 1650196 (2016) [arXiv:1609.03351 [hep-ph]]
[11]	Z. R. Huang, W. Chen, T. G. Steele, Z. F. Zhang, and H. Y. Jin, Phys. Rev. D, 95(7): 076017 (2017) [arXiv:1610.02081[hep-ph]]
[12]	R. Shankar, Phys. Rev. D, 15: 755 (1977)
[13]	R. D. Matheus and S. Narison, Nucl. Phys. Proc. Suppl., 152: 236 (2006) [hep-ph/0412063]
[14]	S. Narison, Phys. Lett. B, 675: 319 (2009) [arXiv:0903.2266 [hep-ph]]
[15]	D. B. Leinweber, Annals Phys., 254: 328 (1997) [nucl-th/9510051]
[16]	F. X. Lee, D. B. Leinweber, and X.-M. Jin, Phys. Rev. D, 55: 4066 (1997) [nucl-th/9611011]
[17]	F. X. Lee, Phys. Rev. C, 57: 322 (1998) [hep-ph/9707332]
[18]	F. X. Lee, Phys. Lett. B, 419: 14 (1998) [hep-ph/9707411]
[19]	G. Erkol and M. Oka, Nucl. Phys. A, 801: 142 (2008) [arXiv:0801.0783 [nucl-th]]
[20]	L. Wang and F. X. Lee, Phys. Rev. D, 78: 013003 (2008) [arXiv:0804.1779 [hep-ph]]
[21]	Z. F. Zhang, H. Y. Jin, and T. G. Steele, Chin. Phys. Lett., 31: 051201 (2014) [arXiv:1312.5432 [hep-ph]]
[22]	Z. R. Huang, H. Y. Jin, and Z. F. Zhang, JHEP, 1504: 004 (2015) [arXiv:1411.2224 [hep-ph]]
[23]	M. Benmerrouche, G. Orlandini, and T. G. Steele, Phys. Lett. B, 356: 573 (1995) [hep-ph/9507304]
[24]	T. G. Steele, S. Alavian, and J. Kwan, Phys. Lett. B, 392: 189 (1997) [hep-ph/9701267]
[25]	T. G. Steele, K. Kostuik, and J. Kwan, Phys. Lett. B, 451: 201 (1999) [hep-ph/9812497]
[26]	F. Shi, T. G. Steele, V. Elias, K. B. Sprague, Y. Xue, and A. H. Fariborz, Nucl. Phys. A, 671: 416 (2000) [hep-ph/9909475]
[27]	R. T. Kleiv, T. G. Steele, A. Zhang, and I. Blokland, Phys. Rev. D, 87(12): 125018 (2013) [arXiv:1304.7816 [hep-ph]]
[28]	W. Chen, H. X. Chen, X. Liu, T. G. Steele, and S. L. Zhu, arXiv:1605.01647 [hep-ph]
[29]	C. Patrignani et al (Particle Data Group Collaboration), Chin. Phys. C, 40(10): 100001 (2016)
[30]	S. Leupold, W. Peters, and U. Mosel, Nucl. Phys. A, 628: 311 (1998) [nucl-th/9708016]
[31]	S. H. Lee, K. Morita, and M. Nielsen, Phys. Rev. D, 78: 076001 (2008) [arXiv:0808.3168 [hep-ph]]
[32]	L. R. Surguladze and F. V. Tkachov, Nucl. Phys. B, 331: 35 (1990)
[33]	V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Fortsch. Phys., 32: 585 (1984)
[34]	K. G. Chetyrkin, V. P. Spiridonov, and S. G. Gorishnii, Phys. Lett. B, 160: 149 (1985)
[35]	H. Y. Jin and J. G. Korner, Phys. Rev. D, 64: 074002 (2001) [hep-ph/0003202]
[36]	H. Y. Jin, J. G. Korner, and T. G. Steele, Phys. Rev. D, 67: 014025 (2003) [hep-ph/0211304]
[37]	L. F. Abbott, Nucl. Phys. B, 185: 189 (1981)
[38]	S. Narison and E. de Rafael, Phys. Lett. B, 103: 57 (1981)
[39]	R. E. Cutkosky, J. Math. Phys., 1: 429 (1960)
[40]	A. K. Das, V. S. Mathur, and P. Panigrahi, Phys. Rev. D, 35: 2178 (1987)
[41]	C. A. Dominguez and N. Paver, Z. Phys. C, 31: 591 (1986)
[42]	L. Martinovic, Phys. Rev. D, 41: 1709 (1990)
[43]	L. Martinovic, Phys. Rev. D, 44: 220 (1991)
[44]	E. F. Beckenbach, R. Bellman,Inequalities (Berlin: Springer, 1961)
[45]	S. K. Berberian,Measure and Integration (New York: MacMillan, 1965)
[46]	Y. Chung, H. G. Dosch, M. Kremer, and D. Schall, Z. Phys. C, 25: 151 (1984)
[47]	S. Narison, Phys. Lett. B, 361: 121 (1995) [hep-ph/9504334]
[48]	S. Narison, Phys. Lett. B, 673: 30 (2009) [arXiv:0901.3823 [hep-ph]]
[49]	E. V. Shuryak, Rev. Mod. Phys., 65: 1 (1993)
[50]	J. Gasser and U. G. Meissner, Nucl. Phys. B, 357: 90 (1991)

[1]	Zhi-Gang Wang . Ground states and first radial excitations of vector tetraquark states with explicit P-waves via QCD sum rules. Chinese Physics C, 2024, 48(10): 103103. doi: 10.1088/1674-1137/ad5ae5
[2]	Qi Xin , Zhi-Gang Wang . Fully-light vector tetraquark states with explicit P-wave via QCD sum rules. Chinese Physics C, 2024, 48(3): 033104. doi: 10.1088/1674-1137/ad181c
[3]	Bing-Dong Wan , Hong-Tai Xu . 0^{– –} hidden-heavy tetraquark states via QCD sum rules. Chinese Physics C, 2024, 48(9): 093103. doi: 10.1088/1674-1137/ad53b7
[4]	Xiu-Wu Wang , Zhi-Gang Wang . Strong decays of the P_c(4312) and its isospin cousin via the QCD sum rules. Chinese Physics C, 2024, 48(5): 053102. doi: 10.1088/1674-1137/ad2442
[5]	Zhi-Gang Wang . B_c meson and its scalar cousin with QCD sum rules. Chinese Physics C, 2024, 48(10): 103104. doi: 10.1088/1674-1137/ad5a71
[6]	Xiu-Wu Wang , Zhi-Gang Wang . Analysis of P_cs(4338) and related pentaquark molecular states via QCD sum rules. Chinese Physics C, 2023, 47(1): 013109. doi: 10.1088/1674-1137/ac9aab
[7]	Qi Xin , Zhi-Gang Wang , Fei Lü . The Λ-type P-wave bottom baryon states via the QCD sum rules. Chinese Physics C, 2023, 47(9): 093106. doi: 10.1088/1674-1137/ace81f
[8]	Ren-Hua Wu , Yu-Sheng Zuo , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao . NLO effects for Ω_QQQ baryons in QCD Sum Rules. Chinese Physics C, 2021, 45(9): 093103. doi: 10.1088/1674-1137/ac0b3c
[9]	Zhi-Gang Wang , Hui-Juan Wang . Analysis of the 1S and 2S states of Λ_Q and Ξ_Q with QCD sum rules. Chinese Physics C, 2021, 45(1): 013109. doi: 10.1088/1674-1137/abc1d3
[10]	Jia-Bing Xiang , Hua-Xing Chen , Wei Chen , Xiao-Bo Li , Xing-Qun Yao , Shi-Lin Zhu . Revisiting hidden-charm pentaquarks from QCD sum rules. Chinese Physics C, 2019, 43(3): 034104. doi: 10.1088/1674-1137/43/3/034104
[11]	Wen Chen;Feng Feng;Yu Jia;Wen-Long Sang . Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 13108-.
[12]	Xiao-Hui Hu , Yue-Long Shen , Wei Wang , Zhen-Xing Zhao . Weak decays of doubly heavy baryons: “decay constants”. Chinese Physics C, 2018, 42(12): 123102. doi: 10.1088/1674-1137/42/12/123102
[13]	Jian-Rong Zhang , Jing-Lan Zou , Jin-Yun Wu . 0⁺ tetraquark states from improved QCD sum rules: delving into X(5568). Chinese Physics C, 2018, 42(4): 043101. doi: 10.1088/1674-1137/42/4/043101
[14]	Guo-Liang Yu , Zhi-Gang Wang , Zhen-Yu Li . Analysis of the strong coupling form factors of ∑_bNB and∑_cND in QCD sum rules. Chinese Physics C, 2017, 41(8): 083104. doi: 10.1088/1674-1137/41/8/083104
[15]	Zhi-Gang Wang . Analysis of the Y (4220) and Y (4390) as molecular states with QCD sum rules. Chinese Physics C, 2017, 41(8): 083103. doi: 10.1088/1674-1137/41/8/083103
[16]	YOU Fu-Yi , WANG Zhi-Gang , WAN Shao-Long . Analysis of (1/2)⁺ baryon states containing fourth-family quarks from QCD sum rules. Chinese Physics C, 2012, 36(6): 498-504 . doi: 10.1088/1674-1137/36/6/004
[17]	SUN Yan-Jun , WANG Zhi-Gang , HUANG Tao . B → A transitions in the light-cone QCD sum rules with the chiral current. Chinese Physics C, 2012, 36(11): 1046-1054. doi: 10.1088/1674-1137/36/11/003
[18]	ZHANG Jian-Rong , HUANG Ming-Qiu . Heavy flavor baryon spectra via QCD sum rules. Chinese Physics C, 2009, 33(12): 1385-1388. doi: 10.1088/1674-1137/33/12/061
[19]	Cheng Zitao , Liu Xianhui . Study on the Structure of Hypernuclei _ΛΛ⁵H,_ΛΛ⁵He,_ΛΛ⁴He and _ΛΛ⁴H. Chinese Physics C, 1996, 20(8): 736-744.
[20]	HE Xiang-Hao , XIAN Ding-Chang , SONG Yong-Shen . A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY. Chinese Physics C, 1985, 9(5): 629-634.

Access

Get Citation

Qi-Nan Wang, Zhu-Feng Zhang, T. G. Steele, Hong-Ying Jin and Zhuo-Ran Huang. A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules[J]. Chinese Physics C, 2017, 41(7): 074107. doi: 10.1088/1674-1137/41/7/074107

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-03-01

Fund

Supported by NSFC (11175153, 11205093, 11347020), Open Foundation of the Most Important Subjects of Zhejiang Province, and K. C. Wong Magna Fund in Ningbo University, TGS is Supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), Z. F. Zhang and Z. R. Huang are Grateful to the University of Saskatchewan for its Warm Hospitality

Article Metric

Article Views(1711)
PDF Downloads(17)
Cited by(0)

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

A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules

Corresponding author: Zhu-Feng Zhang,

HTML

目录