Branching ratio and CP asymmetry of Bs → π+π- decays in the perturbative QCD approach

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 3, 2004, Pages

  Li, Ying ^a,b,c   Lü, Cai Dian ^a,b   Xiao, ZhenJun ^a,c   Yu, Xian Qiao ^b  

^a CCAST WORLD LABORATORY   (China)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^c NANJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; EVALUATION; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MESON; NUCLEAR PHYSICS; QUARK; SPATIAL SUMMATION;

EID: 33845736429     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.034009     Document Type: Article

References (38)

1. M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985); M. Bauer, B. Stech, and M. Wirbel, ibid. 34, 103 (1987); L.-L. Chau, H.-Y. Cheng, W.K. Sze, H. Yao, and B. Tseng, Phys. Rev. D 43, 2176 (1991); 58, 019902(E) (1998).
2. M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985); M. Bauer, B. Stech, and M. Wirbel, ibid. 34, 103 (1987); L.-L. Chau, H.-Y. Cheng, W.K. Sze, H. Yao, and B. Tseng, Phys. Rev. D 43, 2176 (1991); 58, 019902(E) (1998).
3. M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985); M. Bauer, B. Stech, and M. Wirbel, ibid. 34, 103 (1987); L.-L. Chau, H.-Y. Cheng, W.K. Sze, H. Yao, and B. Tseng, Phys. Rev. D 43, 2176 (1991); 58, 019902(E) (1998).
4. M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985); M. Bauer, B. Stech, and M. Wirbel, ibid. 34, 103 (1987); L.-L. Chau, H.-Y. Cheng, W.K. Sze, H. Yao, and B. Tseng, Phys. Rev. D 43, 2176 (1991); 58, 019902(E) (1998).
5. A. Ali, G. Kramer, and C.D. Lü, Phys. Rev. D 58, 094009 (1998); C.D. Lü, Nucl. Phys. B (Proc. Suppl.) 74, 227 (1999).
6. A. Ali, G. Kramer, and C.D. Lü, Phys. Rev. D 58, 094009 (1998); C.D. Lü, Nucl. Phys. B (Proc. Suppl.) 74, 227 (1999).
7. A. Ali, G. Kramer, and C.D. Lü, Phys. Rev. D 59, 014005 (1999).
8. Y.-H. Chen, H.-Y. Cheng, B. Tseng, and K.-C. Yang, Phys. Rev. D 60, 094014 (1999); H.-Y. Cheng and K.-C. Yang, ibid. 62, 054029 (2000).
9. Y.-H. Chen, H.-Y. Cheng, B. Tseng, and K.-C. Yang, Phys. Rev. D 60, 094014 (1999); H.-Y. Cheng and K.-C. Yang, ibid. 62, 054029 (2000).
10. M. Beneke, G. Buchalla, M. Neubert, and C.T. Schrajda, Phys. Rev. Lett. 83, 1914 (1999); Nucl. Phys. B591, 313 (2000).
11. M. Beneke, G. Buchalla, M. Neubert, and C.T. Schrajda, Phys. Rev. Lett. 83, 1914 (1999); Nucl. Phys. B591, 313 (2000).
12. H.-n. Li and H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995); Phys. Lett. B 353, 301 (1995); H.-n. Li, ibid. 348, 597 (1995); H.n. Li and H.L. Yu, Phys. Rev. D 53, 2480 (1996).
13. H.-n. Li and H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995); Phys. Lett. B 353, 301 (1995); H.-n. Li, ibid. 348, 597 (1995); H.n. Li and H.L. Yu, Phys. Rev. D 53, 2480 (1996).
14. H.-n. Li and H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995); Phys. Lett. B 353, 301 (1995); H.-n. Li, ibid. 348, 597 (1995); H.n. Li and H.L. Yu, Phys. Rev. D 53, 2480 (1996).
15. H.-n. Li and H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995); Phys. Lett. B 353, 301 (1995); H.-n. Li, ibid. 348, 597 (1995); H.n. Li and H.L. Yu, Phys. Rev. D 53, 2480 (1996).
16. G.P. Lepage and S.J. Brodsky, Phys. Rev. D 22, 2157 (1980); J. Botts and G. Sterman, Nucl. Phys. B225, 62 (1989).
17. G.P. Lepage and S.J. Brodsky, Phys. Rev. D 22, 2157 (1980); J. Botts and G. Sterman, Nucl. Phys. B225, 62 (1989).
18. C.-D. Lü and K. Ukai, Eur. Phys. J. C 28, 305 (2003); C.-D. Lü, ibid. 24, 121 (2002); Y. Li and C.D. Lü, J. Phys. G 29, 2115 (2003); Y. Li and C.D. Lü, hep-ph/0305278; Y. Li, C.D. Lü, and Z-J Xiao, hep-ph/0308243; C.-D. Lü and M.-Z. Yang, Eur. Phys. J. C 23, 275 (2002).
19. C.-D. Lü and K. Ukai, Eur. Phys. J. C 28, 305 (2003); C.-D. Lü, ibid. 24, 121 (2002); Y. Li and C.D. Lü, J. Phys. G 29, 2115 (2003); Y. Li and C.D. Lü, hep-ph/0305278; Y. Li, C.D. Lü, and Z-J Xiao, hep-ph/0308243; C.-D. Lü and M.-Z. Yang, Eur. Phys. J. C 23, 275 (2002).
20. C.-D. Lü and K. Ukai, Eur. Phys. J. C 28, 305 (2003); C.-D. Lü, ibid. 24, 121 (2002); Y. Li and C.D. Lü, J. Phys. G 29, 2115 (2003); Y. Li and C.D. Lü, hep-ph/0305278; Y. Li, C.D. Lü, and Z-J Xiao, hep-ph/0308243; C.-D. Lü and M.-Z. Yang, Eur. Phys. J. C 23, 275 (2002).
21. C.-D. Lü and K. Ukai, Eur. Phys. J. C 28, 305 (2003); C.-D. Lü, ibid. 24, 121 (2002); Y. Li and C.D. Lü, J. Phys. G 29, 2115 (2003); Y. Li and C.D. Lü, hep-ph/0305278; Y. Li, C.D. Lü, and Z-J Xiao, hep-ph/0308243; C.-D. Lü and M.-Z. Yang, Eur. Phys. J. C 23, 275 (2002).
22. C.-D. Lü and K. Ukai, Eur. Phys. J. C 28, 305 (2003); C.-D. Lü, ibid. 24, 121 (2002); Y. Li and C.D. Lü, J. Phys. G 29, 2115 (2003); Y. Li and C.D. Lü, hep-ph/0305278; Y. Li, C.D. Lü, and Z-J Xiao, hep-ph/0308243; C.-D. Lü and M.-Z. Yang, Eur. Phys. J. C 23, 275 (2002).
23. C.-D. Lü, K. Ukai, and M.-Z. Yang, Phys. Rev. D 63, 074009 (2001).
24. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); Phys. Rev. D 8, 3633 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973); Phys. Rep. 14C, 129 (1974).
25. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); Phys. Rev. D 8, 3633 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973); Phys. Rep. 14C, 129 (1974).
26. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); Phys. Rev. D 8, 3633 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973); Phys. Rep. 14C, 129 (1974).
27. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); Phys. Rev. D 8, 3633 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973); Phys. Rep. 14C, 129 (1974).
28. G. Buchalla, A.J. Buras, and M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996).
29. K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
30. G. Kramer, W.F. Palmer, and Y.L. Wu, Commun. Theor. Phys. 27, 457 (1997); C.D. Lü, Invited talk at "3rd international Conference on B Physics and CP Violation(BCONF99)," Taipei, Taiwan, 1999 (World Scientific, Singapore, 2000).
31. G. Kramer, W.F. Palmer, and Y.L. Wu, Commun. Theor. Phys. 27, 457 (1997); C.D. Lü, Invited talk at "3rd international Conference on B Physics and CP Violation(BCONF99)," Taipei, Taiwan, 1999 (World Scientific, Singapore, 2000).
32. Y.-Y. Keum, H.-n. Li, and A.I. Sanda, Phys. Lett. B 504, 6 (2001); Phys. Rev. D 63, 054008 (2001).
33. Y.-Y. Keum, H.-n. Li, and A.I. Sanda, Phys. Lett. B 504, 6 (2001); Phys. Rev. D 63, 054008 (2001).
34. V.M. Braun and I.E. Filyanov, Z. Phys. C 48, 239 (1990); P. Ball, J. High Energy Phys. 01, 010 (1999).
35. V.M. Braun and I.E. Filyanov, Z. Phys. C 48, 239 (1990); P. Ball, J. High Energy Phys. 01, 010 (1999).
36. H.-n. Li and K. Ukai, Phys. Lett. B 555, 197 (2003).
37. M. Beneke and M. Neubert, Nucl. Phys. B675, 333 (2003).
38. 0π and meson wave functions can also lead to some uncertainties; their effects are already discussed in previous works [8].