Constraining the UT angle &gamma; by CP violation parameters in B0&rarr;&pi;+&pi;-*

Qin Qin; Zhi-Tian Zou; Ying Li; Cai-Dian L&uuml;

doi:10.1088/1674-1137/40/3/031001

Chinese Physics C> 2016, Vol. 40> Issue(3) : 031001 DOI: 10.1088/1674-1137/40/3/031001

Constraining the UT angle γ by CP violation parameters in B⁰→π⁺π^-*

Qin Qin ¹ ,
Zhi-Tian Zou ² ,
Ying Li ^2,3 ,
Cai-Dian Lü ^1,3

1.
Institute of High Energy Physics, Beijing 100049, China
2.
Department of Physics, Yantai University, Yantai, 264005, China
3.
Department of Physics, Yantai University, Yantai, 264005, China
4.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
5.
Institute of High Energy Physics, Beijing 100049, China

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Abstract：
We calculate the tree and penguin amplitudes in the B⁰→π⁺π^- decay channel employing the perturbative QCD factorization approach. Using the amplitudes as input with the theoretical uncertainties sufficiently considered, we constrain the UT angle γ to 53°≤γ≤70°, from the measurements of the CP violation parameters C_π⁺π^- and S_π⁺π^- in B⁰→π⁺π^-. The U-spin breaking effect between B⁰→π⁺π^- and B_S⁰→K⁺K^- is estimated to be around 30%.
- CP violation ,
- extraction ,
- B meson decay

References

[1]	M. Kobayashi and T. Maskawa, Prog. Theor. Phys., 49: 652 (1973)
[2]	W. Wang, Int. J. Mod. Phys. A, 29: 1430040 (2014) [arXiv:1407.6868 [hep-ph]]
[3]	K. A. Olive et al (Particle Data Group), Chin. Phys. C, 38: 090001 (2014)
[4]	M. Gronau and D. London, Phys. Lett. B, 253: 483 (1991); M. Gronau and D. Wyler, Phys. Lett. B, 265: 172 (1991)
[5]	D. Atwood, I. Dunietz and A. Soni, Phys. Rev. Lett., 78: 3257 (1997) [hep-ph/9612433]; Phys. Rev. D, 63: 036005 (2001) [hep-ph/0008090]
[6]	A. Giri, Y. Grossman, A. Soffer and J. Zupan, Phys. Rev. D, 68: 054018 (2003) [hep-ph/0303187]
[7]	K. Abe et al (Belle Collaboration), Phys. Rev. D, 73: 051106 (2006) [hep-ex/0601032]; Y. Horii et al (Belle Collaboration), Phys. Rev. Lett., 106: 231803 (2011) [arXiv:1103.5951 [hep-ex]]; A. Poluektov et al (Belle Collaboration), Phys. Rev. D, 81: 112002 (2010) [arXiv:1003.3360 [hep-ex]]; T. Aaltonen et al (CDF Collaboration), Phys. Rev. D, 81: 031105 (2010) [arXiv:0911.0425 [hep-ex]]; P. del Amo Sanchez et al (BaBar Collaboration), Phys. Rev. D, 82: 072004 (2010) [arXiv:1007.0504 [hep-ex]]; B. Aubert et al (BaBar Collaboration), Phys. Rev. D, 78: 092002 (2008) [arXiv:0807.2408 [hep-ex]]; Phys. Rev. D, 80: 092001 (2009) [arXiv:0909.3981 [hep-ex]]; P. del Amo Sanchez et al (BaBar Collaboration), Phys. Rev. D, 82: 072006 (2010) [arXiv:1006.4241 [hep-ex]]; J. P. Lees et al (BaBar Collaboration), Phys. Rev. D, 84: 012002 (2011) [arXiv:1104.4472 [hep-ex]]; P. del Amo Sanchez et al (BaBar Collaboration), Phys. Rev. Lett., 105: 21801 (2010) [arXiv:1005.1096 [hep-ex]]; R. Aaij et al (LHCb Collaboration), Phys. Lett. B, 712: 203 (2012) [Erratum ibid. 713: 351 (2012)] [arXiv:1203.3662 [hep-ex]]; Phys. Lett. B, 723: 44 (2013) [arXiv:1303.4646 [hep-ex]]
[8]	J. Charles, O. Deschamps, S. Descotes-Genon, R. Itoh, H. Lacker, A. Menzel, S. Monteil and V. Niess et al, Phys. Rev. D, 84: 033005 (2011) [arXiv:1106.4041 [hep-ph]]
[9]	R. Aaij et al (LHCb Collaboration), JHEP, 1410: 97 (2014) [arXiv:1408.2748 [hep-ex]]; arXiv:1505.07044 [hep-ex]
[10]	R. Fleischer, Phys. Lett. B, 459: 306 (1999) [hep-ph/9903456]
[11]	M. Ciuchini, E. Franco, S. Mishima and L. Silvestrini, JHEP, 1210: 029 (2012) [arXiv:1205.4948 [hep-ph]]
[12]	R. Aaij et al (LHCb Collaboration), Phys. Lett. B, 741: 1 (2015) [arXiv:1408.4368 [hep-ex]]
[13]	C. D. Lu and Z. J. Xiao, Phys. Rev. D, 66: 074011 (2002) [hep-ph/0205134]
[14]	X. Yu, Z. T. Zou and C. D. L, Phys. Rev. D, 88: 054018 (2013) [arXiv:1307.7485]
[15]	J. P. Lees et al (BaBar Collaboration), Phys. Rev. D, 87: 052009 (2013) [arXiv:1206.3525 [hep-ex]]; I. Adachi et al (Belle Collaboration), Phys. Rev. D, 88: 092003 (2013) [arXiv:1302.0551 [hep-ex]]; R. Aaij et al (LHCb Collaboration), JHEP, 1310: 183 (2013) [arXiv:1308.1428 [hep-ex]]
[16]	B. Aubert et al (BaBar Collaboration), Phys. Rev. D, 71: 032005 (2005) [hep-ex/0411016]; R. Itoh et al. (Belle Collaboration), Phys. Rev. Lett., 95: 091601 (2005) [hep-ex/0504030]; P. Krokovny it et al (Belle Collaboration), Phys. Rev. Lett., 97: 081801 (2006) [hep-ex/0605023]; B. Aubert et al (BaBar Collaboration), Phys. Rev. Lett., 99: 231802 (2007) [arXiv:0708.1544 [hep-ex]]
[17]	C. H. V. Chang and H. N. Li, Phys. Rev. D, 55: 5577 (1997) [hep-ph/9607214]; T. W. Yeh and H. N. Li, Phys. Rev. D, 56: 1615 (1997) [hep-ph/9701233]; H. N. Li and Y. M. Wang, JHEP, 1506: 013 (2015) [arXiv:1410.7274 [hep-ph]]
[18]	H. N. Li, Y. L. Shen, Y. M. Wang and H. Zou, Phys. Rev. D, 83: 054029 (2011) [arXiv:1012.4098 [hep-ph]]; H. C. Hu and H. N. Li, Phys. Lett. B, 718: 1351 (2013) [arXiv:1204.6708 [hep-ph]]; H. N. Li, Y. L. Shen and Y. M. Wang, JHEP, 1302: 008 (2013) [arXiv:1210.2978 [hep-ph]]; S. Cheng and Z. J. Xiao, Phys. Rev. D, 90: 076001 (2014) [arXiv:1406.6649 [hep-ph]]; S. Cheng and Z. J. Xiao, Phys. Lett. B, 749: 1 (2015) [arXiv:1505.02909 [hep-ph]]
[19]	H. N. Li, Y. L. Shen and Y. M. Wang, Phys. Rev. D, 85: 074004 (2012) [arXiv:1201.5066 [hep-ph]]
[20]	S. Cheng, Y. Y. Fan, X. Yu, C. D. L and Z. J. Xiao, Phys. Rev. D, 89: 094004 (2014) [arXiv:1402.5501 [hep-ph]]
[21]	H. N. Li, Y. L. Shen and Y. M. Wang, JHEP, 1401: 004 (2014) [arXiv:1310.3672 [hep-ph]]
[22]	C. D. Lu, K. Ukai and M. Z. Yang, Phys. Rev. D, 63: 074009 (2001) [hep-ph/0004213]; C. D. Lu and M. Z. Yang, Eur. Phys. J. C, 23: 275 (2002) [hep-ph/0011238]; Z. T. Zou, X. Yu and C. D. Lu, Phys. Rev. D, 86: 094015 (2012) [arXiv:1203.4120 [hep-ph]]; Q. Qin, Z. T. Zou, X. Yu, H. N. Li and C. D. L, Phys. Lett. B, 732: 36 (2014) [arXiv:1401.1028 [hep-ph]]; W. F. Wang, H. C. Hu, H. N. Li and C. D. L, Phys. Rev. D, 89: 074031 (2014) [arXiv:1402.5280 [hep-ph]]
[23]	A. Ali, G. Kramer, Y. Li, C. D. Lu, Y. L. Shen, W. Wang and Y. M. Wang, Phys. Rev. D, 76: 074018 (2007) [hep-ph/0703162 [hep-ph]]
[24]	A. Khodjamirian, C. Klein, T. Mannel and N. Offen, Phys. Rev. D, 80: 114005 (2009) [arXiv:0907.2842 [hep-ph]]
[25]	A. Khodjamirian, T. Mannel, N. Offen and Y.-M. Wang, Phys. Rev. D, 83: 094031 (2011) [arXiv:1103.2655 [hep-ph]]
[26]	T. Kurimoto, H. N. Li and A. I. Sanda, Phys. Rev. D, 65: 014007 (2002) [hep-ph/0105003]

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[19]	WANG Xue-Lei , WANG Hai-Zhi , LU Gong-Ru . Strong CP Violation and Techniaxion. Chinese Physics C, 1992, 16(9): 794-800.
[20]	CHEN FENG-ZHI , HAO CHUN . THE CP VIOLATION OF SU(7) MODEL. Chinese Physics C, 1982, 6(1): 30-35.

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Qin Qin, Zhi-Tian Zou, Ying Li and Cai-Dian Lü. Constraining the UT angle γ by CP violation parameters in B⁰→π⁺π^-*[J]. Chinese Physics C, 2016, 40(3): 031001. doi: 10.1088/1674-1137/40/3/031001

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Received: 2015-09-10

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Partly Supported by National Science Foundation of China (11175151, 11235005, 11375208, 11447032, 11575151), Natural Science Foundation of Shandong Province (ZR2014AQ013) and the Program for New Century Excellent Talents in University (NCET) by Ministry of Education of P.R. China (NCET-13-0991)

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沈阳化工大学材料科学与工程学院沈阳 110142

Constraining the UT angle γ by CP violation parameters in B⁰→π⁺π^-*

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Constraining the UT angle γ by CP violation parameters in B⁰→π⁺π^-*

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