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Next-to-leading-order corrections to Bπ form factors in kT factorization

Hsiang-nan Li1,2,3, Yue-Long Shen4, and Yu-Ming Wang5

  • 1Institute of Physics, Academia Sinica, Taipei 115, Taiwan, Republic of China
  • 2Department of Physics, National Cheng-Kung University, Tainan 701, Taiwan, Republic of China
  • 3Department of Physics, National Tsing-Hua University, Hsinchu 300, Taiwan, Republic of China
  • 4College of Information Science and Engineering, Ocean University of China, Qingdao, Shandong 266100, People’s Republic of China
  • 5Theoretische Elementarteilchenphysik, Naturwissenschaftlich Technische Fakultät, Universiät Siegen, 57068 Siegen, Germany

Phys. Rev. D 85, 074004 – Published 3 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.074004

Abstract

We calculate next-to-leading-order (NLO) corrections to the Bπ transition form factors at leading twist in the kT factorization theorem. Light partons off shell by kT2 are considered in the quark diagrams, in the effective diagrams for the B-meson wave function defined with the effective heavy-quark field, and in the effective diagrams for the pion wave function. It is explicitly demonstrated that the infrared logarithms lnkT2 cancel between the above sets of diagrams, as deriving the kT-dependent NLO hard kernel from their difference. The infrared finiteness of the hard kernel confirms the application of the kT factorization theorem to B-meson semileptonic decays. The NLO pion wave function is identical to those constructed from the pion transition and electromagnetic form factors, consistent with its universality. Choosing the renormalization and factorization scales lower than the B-meson mass, the NLO corrections are under control: they amount only up to 30% of the form factors at large recoil of the pion, when varying models for the meson wave functions.

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References (42)

  1. H.-n. Li and H.-L. Yu, Phys. Rev. Lett. 74, 4388 (1995); Phys. Lett. B 353, 301 (1995); Phys. Rev. D 53, 2480 (1996).
  2. Y. Y. Keum, H.-n. Li, and A. I. Sanda, Phys. Lett. B 504, 6 (2001); Phys. Rev. D 63, 054008 (2001); Y. Y. Keum and H.-n. Li, 63, 074006 (2001); C.-D. Lü, K. Ukai, and M.-Z. Yang, 63, 074009 (2001).
  3. S. Catani, M. Ciafaloni, and F. Hautmann, Phys. Lett. B 242, 97 (1990); Nucl. Phys. B366, 135 (1991).
  4. J. C. Collins and R. K. Ellis, Nucl. Phys. B360, 3 (1991).
  5. E. M. Levin, M. G. Ryskin, Yu. M. Shabelskii, and A. G. Shuvaev, Sov. J. Nucl. Phys. 53, 657 (1991).
  6. J. Botts and G. Sterman, Nucl. Phys. B325, 62 (1989).
  7. H.-n. Li and G. Sterman, Nucl. Phys. B381, 129 (1992).
  8. T. Huang and Q.-X. Shen, Z. Phys. C 50, 139 (1991); J. P. Ralston and B. Pire, Phys. Rev. Lett. 65, 2343 (1990); R. Jakob and P. Kroll, Phys. Lett. B 315, 463 (1993); 319, 545(E) (1993).
  9. H.-n. Li, S. Mishima, and A. I. Sanda, Phys. Rev. D 72, 114005 (2005).
  10. H.-n. Li and S. Mishima, Phys. Rev. D 73, 114014 (2006).
  11. H.-n. Li and S. Mishima, Phys. Rev. D 74, 094020 (2006).
  12. H.-n. Li and S. Mishima, Phys. Rev. D 83, 034023 (2011).
  13. H.-n. Li, Y.-L. Shen, Y.-M. Wang, and H. Zou, Phys. Rev. D 83, 054029 (2011).
  14. M. Nagashima and H.-n. Li, Phys. Rev. D 67, 034001 (2003).
  15. S. Nandi and H.-n. Li, Phys. Rev. D 76, 034008 (2007).
  16. M. Beneke and Th. Feldmann, Nucl. Phys. B592, 3 (2001).
  17. C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D 67, 071502 (2003).
  18. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  19. M. Beneke and Th. Feldmann, Nucl. Phys. B685, 249 (2004).
  20. A. V. Manohar and I. W. Stewart, Phys. Rev. D 76, 074002 (2007).
  21. T. Kurimoto, H.-n. Li, and A. I. Sanda, Phys. Rev. D 65, 014007 (2001).
  22. H.-n. Li, Phys. Rev. D 66, 094010 (2002); K. Ukai and H.-n. Li, Phys. Lett. B 555, 197 (2003).
  23. T. Huang and X.-G. Wu, Phys. Rev. D 71, 034018 (2005).
  24. W. Siegel, Phys. Lett. 84B, 193 (1979).
  25. H.-n. Li and H. S. Liao, Phys. Rev. D 70, 074030 (2004).
  26. H.-n. Li, Phys. Rev. D 64, 014019 (2001); M. Nagashima and H.-n. Li, Eur. Phys. J. C 40, 395 (2005).
  27. X. Ji and F. Yuan, Phys. Lett. B 543, 66 (2002); A. V. Belitsky, X. Ji, and F. Yuan, Nucl. Phys. B656, 165 (2003).
  28. I. O. Cherednikov and N. G. Stefanis, Nucl. Phys. B802, 146 (2008).
  29. J. C. Collins, Acta Phys. Pol. B 34, 3103 (2003).
  30. J.-P. Ma and Q. Wang, J. High Energy Phys. 01 (2006) 067; Phys. Lett. B 642, 232 (2006).
  31. H.-n. Li, Phys. Rev. D 55, 105 (1997).
  32. M. A. Shifman and M. B. Voloshin, Yad. Fiz. 45, 463 (1987) [Sov. J. Nucl. Phys. 45, 292 (1987)]; H. D. Politzer and M. B. Wise, Phys. Lett. B 206, 681 (1988); 208, 504 (1988).
  33. G. Duplancic, A. Khodjamirian, Th. Mannel, B. Melic, and N. Offen, J. High Energy Phys. 04 (2008) 014.
  34. A. Khodjamirian, Th. Mannel, N. Offen, and Y.-M. Wang, Phys. Rev. D 83, 094031 (2011).
  35. A. G. Grozin and M. Neubert, Phys. Rev. D 55, 272 (1997).
  36. C.-H. Chou, H.-H. Shih, S.-C. Lee, and H.-n. Li, Phys. Rev. D 65, 074030 (2002); P. Guo, H.-W. Ke, X.-Q. Li, C.-D. Lü, and Y.-M. Wang, 75, 054017 (2007); X.-G. He, T. Li, X.-Q. Li, and Y.-M. Wang, 74, 034026 (2006); 75, 034011 (2007); C.-D. Lü, Y.-M. Wang, H. Zou, A. Ali, and G. Kramer, 80, 034011 (2009).
  37. H. Kawamura, J. Kodaira, C. F. Qiao, and K. Tanaka, Phys. Lett. B 523, 111 (2001); 536, 344(E) (2002).
  38. B. O. Lange and M. Neubert, Phys. Rev. Lett. 91, 102001 (2003).
  39. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
  40. V. M. Braun and I. E. Filyanov, Z. Phys. C 48, 239 (1990); P. Ball, J. High Energy Phys. 01 (1999) 010.
  41. P. del Amo Sanchez et al. (BABAR Collaboration), Phys. Rev. D 83, 032007 (2011).
  42. N. Cundy, M. Gockeler, R. Horsley, T. Kaltenbrunner, A. D. Kennedy, Y. Nakamura, H. Perlt, D. Pleiter et al., Phys. Rev. D 79, 094507 (2009).

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