Flavor <em>SU</em>(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence

Xiao-Gang He; Wei Wang

doi:10.1088/1674-1137/42/10/103108

Chinese Physics C> 2018, Vol. 42> Issue(10) : 103108 DOI: 10.1088/1674-1137/42/10/103108

Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence

Xiao-Gang He ^1,2,3 ,
Wei Wang ¹

1.
T. -D. Lee Institute and INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240
2.
Department of Physics, National Taiwan University, Taipei 106
3.
National Center for Theoretical Sciences, TsingHua University, Hsinchu 300
4.
T. -D. Lee Institute and INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240

Abstract
HTML
Reference
Related

PDF

Abstract：
Flavor SU(3) analysis of B meson charmless hadronic two light pseudoscalar decays can be formulated in two different ways. One is to construct the SU(3) irreducible representation amplitude (IRA) according to effective Hamiltonian transformation properties, and the other is to draw the topological diagrams (TDA). We first point out that previous analyses of TDA and IRA approaches do not match in several aspects, in particular a few SU(3) independent amplitudes have been overlooked in the TDA approach. This has caused confusions in the past and sometimes resulted in incorrect interpretation of data. We then demonstrate that only if these amplitudes are included, a consistent and unified picture can be obtained. With the new TDA amplitudes, all charmless hadronic decays of heavy meson must have nonzero direct CP symmetries as already predicted by the IRA approach. In addition to their notable impact on CP asymmetry, the new amplitudes are also important to extract new physics information.
- heavy flavor physics ,
- flavor SU(3) symmetry ,
- topological diagrams

References

[1]	Y. Amhis et al (HFLAV Collaboration), Eur. Phys. J. C, 77(12):895 (2017), doi:10.1140/epjc/s10052-017-5058-4, arXiv:1612.07233[hep-ex]
[2]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40(10):100001 (2016), doi:10.1088/1674-1137/40/10/100001
[3]	M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, Nucl. Phys. B, 606:245 (2001), doi:10.1016/S0550-3213(01)00251-6,[hep-ph/0104110]
[4]	M. Beneke and M. Neubert, Nucl. Phys. B, 675:333 (2003), doi:10.1016/j.nuclphysb.2003.09.026,[hep-ph/0308039]
[5]	Y. Y. Keum, H. n. Li, and A. I. Sanda, Phys. Lett. B, 504:6 (2001), doi:10.1016/S0370-2693(01)00247-7,[hep-ph/0004004]
[6]	Y. Y. Keum, H. N. Li, and A. I. Sanda, Phys. Rev. D, 63:054008 (2001), doi:10.1103/PhysRevD.63.054008,[hep-ph/0004173]
[7]	C. D. Lu, K. Ukai, and M. Z. Yang, Phys. Rev. D, 63:074009 (2001), doi:10.1103/PhysRevD.63.074009,[hep-ph/0004213]
[8]	C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D, 63:114020 (2001), doi:10.1103/PhysRevD.63.114020,[hep-ph/0011336]
[9]	C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. Lett., 87:201806 (2001), doi:10.1103/PhysRevLett.87.201806,[hep-ph/0107002]
[10]	D. Zeppenfeld, Z. Phys. C, 8:77 (1981), doi:10.1007/BF01429835
[11]	M. J. Savage and M. B. Wise, Phys. Rev. D, 39:3346 (1989); Phys. Rev. D, 40:3127 (1989), doi:10.1103/PhysRevD.39.3346, 10.1103/PhysRevD.40.3127
[12]	N. G. Deshpande and X. G. He, Phys. Rev. Lett., 75:1703 (1995), doi:10.1103/PhysRevLett.75.1703,[hep-ph/9412393]
[13]	X. G. He, Eur. Phys. J. C, 9:443 (1999), doi:10.1007/s100529900064,[hep-ph/9810397]
[14]	X. G. He, Y. K. Hsiao, J. Q. Shi, Y. L. Wu, and Y. F. Zhou, Phys. Rev. D, 64:034002 (2001), doi:10.1103/PhysRevD.64.034002,[hep-ph/0011337]
[15]	Y. K. Hsiao, C. F. Chang, and X. G. He, Phys. Rev. D, 93(11):114002 (2016), doi:10.1103/PhysRevD.93.114002, arXiv:1512.09223[hep-ph]
[16]	L. L. Chau and H. Y. Cheng, Phys. Rev. Lett., 56:1655 (1986), doi:10.1103/PhysRevLett.56.1655
[17]	L. L. Chau and H. Y. Cheng, Phys. Rev. D, 36:137 (1987); Addendum:[Phys. Rev. D, 39:2788 (1989)], doi:10.1103/PhysRevD.39.2788, 10.1103/PhysRevD.36.137
[18]	L. L. Chau, H. Y. Cheng, W. K. Sze, H. Yao, and B. Tseng, Phys. Rev. D, 43:2176 (1991); Erratum:[Phys. Rev. D, 58:019902 (1998)], doi:10.1103/PhysRevD.43.2176, 10.1103/PhysRevD.58.019902
[19]	M. Gronau, O. F. Hernandez, D. London, and J. L. Rosner, Phys. Rev. D, 50:4529 (1994), doi:10.1103/PhysRevD.50.4529,[hep-ph/9404283]
[20]	M. Gronau, O. F. Hernandez, D. London, and J. L. Rosner, Phys. Rev. D, 52:6356 (1995), doi:10.1103/PhysRevD.52.6356,[hep-ph/9504326]
[21]	H. Y. Cheng, C. W. Chiang, and A. L. Kuo, Phys. Rev. D, 91(1):014011 (2015), doi:10.1103/PhysRevD.91.014011, arXiv:1409.5026[hep-ph]
[22]	S. H. Zhou, Q. A. Zhang, W. R. Lyu and C. D. L, Eur. Phys. J. C, 77(2):125 (2017), doi:10.1140/epjc/s10052-017-4685-0, arXiv:1608.02819[hep-ph]
[23]	S. Mller, U. Nierste, and S. Schacht, Phys. Rev. D, 92(1):014004 (2015), doi:10.1103/PhysRevD.92.014004, arXiv:1503.06759[hep-ph]
[24]	G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys., 68:1125 (1996), doi:10.1103/RevModPhys.68.1125,[hep-ph/9512380]
[25]	M. Ciuchini, E. Franco, G. Martinelli, and L. Reina, Nucl. Phys. B, 415:403 (1994), doi:10.1016/0550-3213(94)90118-X,[hep-ph/9304257]
[26]	N. G. Deshpande and X. G. He, Phys. Lett. B, 336:471 (1994), doi:10.1016/0370-2693(94)90560-6,[hep-ph/9403266]
[27]	C. K. Chua, arXiv:1802.00155[hep-ph]
[28]	R. Aaij et al (LHCb Collaboration), Phys. Rev. Lett., 110(22):221601 (2013), doi:10.1103/PhysRevLett.110.221601, arXiv:1304.6173[hep-ex]
[29]	X. G. He, S. F. Li, and H. H. Lin, JHEP, 1308:065 (2013), doi:10.1007/JHEP08(2013)065, arXiv:1306.2658[hep-ph]
[30]	T. Aushev et al, arXiv:1002.5012[hep-ex]
[31]	R. Aaij et al (LHCb Collaboration), Eur. Phys. J. C, 73(4):2373 (2013), doi:10.1140/epjc/s10052-013-2373-2, arXiv:1208.3355[hep-ex]
[32]	H. Y. Cheng and C. W. Chiang, Phys. Rev. D, 81:074021 (2010), doi:10.1103/PhysRevD.81.074021, arXiv:1001.0987[hep-ph]
[33]	H. n. Li, C. D. Lu, and F. S. Yu, Phys. Rev. D, 86:036012 (2012), doi:10.1103/PhysRevD.86.036012, arXiv:1203.3120[hep-ph]

[1]	Yong Tang , Yue-Liang Wu . Flavor non-universal gauge interactions and anomalies in B-meson decays. Chinese Physics C, 2018, 42(3): 033104. doi: 10.1088/1674-1137/42/3/033104
[2]	Takuya Morozumi , Hideaki Okane , Hiroki Sakamoto , Yusuke Shimizu , Kenta Takagi , Hiroyuki Umeeda . Phenomenological aspects of possible vacua of a neutrino flavor model. Chinese Physics C, 2018, 42(2): 023102. doi: 10.1088/1674-1137/42/2/023102
[3]	Linping Mu , Hiroshi Okada , Chao-Qiang Geng . A model with flavor-dependent gauged U(1)_B-L₁×U(1)_B-L₂-L₃ symmetry. Chinese Physics C, 2018, 42(12): 123106. doi: 10.1088/1674-1137/42/12/123106
[4]	Hai-Bin Zhang , Tai-Fu Feng , Shu-Min Zhao , Yu-Li Yan , Fei Sun . 125 GeV Higgs decay with lepton flavor violation in the μνSSM. Chinese Physics C, 2017, 41(4): 043106. doi: 10.1088/1674-1137/41/4/043106
[5]	Harald Fritzsch , Zhi-Zhong Xing , Di Zhang . The breaking of flavor democracy in the quark sector. Chinese Physics C, 2017, 41(9): 093104. doi: 10.1088/1674-1137/41/9/093104
[6]	Zong-guo Si , Xing-hua Yang , Shun Zhou . Broken S_3L×S_3R flavor symmetry and leptonic CP violation. Chinese Physics C, 2017, 41(11): 113105. doi: 10.1088/1674-1137/41/11/113105
[7]	M. A. Arroyo-Ureña , J. Lorenzo Diaz-Cruz , Enrique Díaz , Javier A. Orduz-Ducuara . Flavor violating Higgs signals in the Texturized Two-Higgs Doublet Model (THDM-Tx). Chinese Physics C, 2016, 40(12): 123103. doi: 10.1088/1674-1137/40/12/123103
[8]	Jing-Bin Liu , Mao-Zhi Yang . Heavy-light mesons in a relativistic model. Chinese Physics C, 2016, 40(7): 073101. doi: 10.1088/1674-1137/40/7/073101
[9]	JIA Lian-Bao , GUO Xing-Dao , JIN Hong-Ying , ZHAO Ming-Gang , LI Xue-Qian . Search for supersymmetric mesinos near production thresholdin terms of super flavor symmetry. Chinese Physics C, 2015, 39(8): 083102. doi: 10.1088/1674-1137/39/8/083102
[10]	LI Bao-Fei , CHEN Xiao-Lin , DENG Wei-Zhen . Study on the mechanism of open-flavor strong decays. Chinese Physics C, 2012, 36(2): 106-116. doi: 10.1088/1674-1137/36/2/002
[11]	WANG Shuai-Wei , YANG Xing-Qiang , LI Gen-Quan , HUANG Jin-Shu . B_s,d→μ⁺μ^－ decays in a flavor changing Z′ model. Chinese Physics C, 2010, 34(5): 539-542. doi: 10.1088/1674-1137/34/5/004
[12]	LIU Zi-Yu , XIANG Qian-Lan , ZHANG Xiao-An , XIAO Guo-Qing . Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model. Chinese Physics C, 2010, 34(3): 330-333. doi: 10.1088/1674-1137/34/3/005
[13]	GUO Feng-Kun . Heavy quark spin symmetry and heavy flavor hadronic molecules. Chinese Physics C, 2010, 34(9): 1294-1297. doi: 10.1088/1674-1137/34/9/027
[14]	A. J. Buchmann . Excited nucleon electromagnetic form factors from broken spin-flavor symmetry. Chinese Physics C, 2009, 33(12): 1257-1260. doi: 10.1088/1674-1137/33/12/034
[15]	LIU Xiang . Strong decays of newly observed heavy flavor hadrons. Chinese Physics C, 2009, 33(6): 473-480. doi: 10.1088/1674-1137/33/6/014
[16]	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
[17]	YU Guo-Wei , FANG Shuang-Shi , LI Wei-Guo , WU Ning . SU(3) Flavor Symmetry Breaking in J/ψ →baryon-antibaryon. Chinese Physics C, 2006, 30(7): 599-602.
[18]	XIE Shu-Qin , ZHANG Qi-Ren . AN SU(3) SYMMETRY IN THE TRIBARYON SYSTEM. Chinese Physics C, 1988, 12(5): 673-682.
[19]	Jin Changhao . Down-Quark Masses and Flavor Mixing. Chinese Physics C, 1988, 12(S1): 59-68.
[20]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.

Access

Get Citation

Xiao-Gang He and Wei Wang. Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence[J]. Chinese Physics C, 2018, 42(10): 103108. doi: 10.1088/1674-1137/42/10/103108

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-04-27
Revised: 2018-07-16

Fund

Supported by National Natural Science Foundation of China (11575110, 11575111, 11655002, 11735010), Natural Science Foundation of Shanghai (15DZ2272100) and MOST (MOST104-2112-M-002-015-MY3, 106-2112-M-002-003-MY3).

Article Metric

Article Views(1644)
PDF Downloads(18)
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

Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence

HTML

目录