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Light-cone distribution amplitudes of the ground state bottom baryons in HQET

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Abstract

We provide the definition of the complete set of light-cone distribution amplitudes (LCDAs) for the ground state heavy bottom baryons with the spin-parities J P=1/2+ and J P=3/2+ in the heavy quark limit. We present the renormalization effects on the twist-2 light-cone distribution amplitudes and use the QCD sum rules to compute the moments of twist-2, twist-3, and twist-4 LCDAs. Simple models for the heavy baryon distribution amplitudes are analyzed with account of their scale dependence.

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References

  1. M. Artuso et al., Eur. Phys. J. C 57, 309 (2008). arXiv:0801.1833 [hep-ph]

    Article  ADS  Google Scholar 

  2. W. Loinaz, R. Akhoury, Phys. Rev. D 53, 1416 (1996). arXiv:hep-ph/9505378

    Article  ADS  Google Scholar 

  3. F. Hussain, J.G. Korner, M. Kramer, G. Thompson, Z. Phys. C 51, 321 (1991)

    Article  Google Scholar 

  4. N. Isgur, M.B. Wise, Nucl. Phys. B 348, 276 (1991)

    Article  ADS  Google Scholar 

  5. T. Mannel, W. Roberts, Z. Ryzak, Nucl. Phys. B 355, 38 (1991)

    Article  ADS  Google Scholar 

  6. T. Mannel, S. Recksiegel, J. Phys. G 24, 979 (1998). arXiv:hep-ph/9701399

    Article  ADS  Google Scholar 

  7. T. Feldmann, M.W.Y. Yip, Phys. Rev. D 85, 014035 (2012). arXiv:1111.1844 [hep-ph]. Erratum-ibid. 86, 079901 (2012)

    Article  ADS  Google Scholar 

  8. T. Mannel, Y.M. Wang, J. High Energy Phys. 1112, 067 (2011). arXiv:1111.1849 [hep-ph]

    Article  ADS  Google Scholar 

  9. G. Hiller, A. Kagan, Phys. Rev. D 65, 074038 (2002). arXiv:hep-ph/0108074

    Article  ADS  Google Scholar 

  10. G. Hiller, M. Knecht, F. Legger, T. Schietinger, Phys. Lett. B 649, 152 (2007). arXiv:hep-ph/0702191

    Article  ADS  Google Scholar 

  11. Z.T. Wei, H.W. Ke, X.Q. Li, Phys. Rev. D 80, 094016 (2009). arXiv:0909.0100 [hep-ph]

    Article  ADS  Google Scholar 

  12. W. Wang, Phys. Lett. B 708, 119 (2012). arXiv:1112.0237 [hep-ph]

    Article  ADS  Google Scholar 

  13. P. Ball, V.M. Braun, E. Gardi, Phys. Lett. B 665, 197 (2008). arXiv:0804.2424 [hep-ph]

    Article  ADS  Google Scholar 

  14. A. Ali, C. Hambrock, A.Y. Parkhomenko, Theor. Math. Phys. 170, 2 (2012)

    Article  Google Scholar 

  15. A. Ali, C. Hambrock, A.Y. Parkhomenko, Teor. Mat. Fiz. 170, 5 (2012)

    Article  Google Scholar 

  16. J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012)

    Article  ADS  Google Scholar 

  17. X. Liu, H.X. Chen, Y.R. Liu, A. Hosaka, S.L. Zhu, Phys. Rev. D 77, 014031 (2008). arXiv:0710.0123 [hep-ph]

    Article  ADS  Google Scholar 

  18. R. Lewis, R.M. Woloshyn, Phys. Rev. D 79, 014502 (2009). arXiv:0806.4783 [hep-lat]

    Article  ADS  Google Scholar 

  19. A.F. Falk, Nucl. Phys. B 378, 79 (1992)

    Article  ADS  Google Scholar 

  20. A.G. Grozin, Springer Tracts Mod. Phys. 201, 1 (2004)

    Article  Google Scholar 

  21. A.G. Grozin, O.I. Yakovlev, Phys. Lett. B 285, 254 (1992). arXiv:hep-ph/9908364

    Article  ADS  Google Scholar 

  22. S. Groote, J.G. Korner, O.I. Yakovlev, Phys. Rev. D 56, 3943 (1997). arXiv:hep-ph/9705447

    Article  ADS  Google Scholar 

  23. S. Groote, J.G. Korner, O.I. Yakovlev, Phys. Rev. D 55, 3016 (1997). arXiv:hep-ph/9609469

    Article  ADS  Google Scholar 

  24. A.G. Grozin, M. Neubert, Phys. Rev. D 55, 272 (1997). arXiv:hep-ph/9607366

    Article  ADS  Google Scholar 

  25. P. Ball, V.M. Braun, Y. Koike, K. Tanaka, Nucl. Phys. B 529, 323 (1998). arXiv:hep-ph/9802299

    Article  ADS  Google Scholar 

  26. E. Bagan, M. Chabab, H.G. Dosch, S. Narison, Phys. Lett. B 301, 243 (1993)

    Article  ADS  Google Scholar 

  27. B.O. Lange, M. Neubert, Phys. Rev. Lett. 91, 102001 (2003). arXiv:hep-ph/0303082

    Article  ADS  Google Scholar 

  28. P. Ball, M. Boglione, Phys. Rev. D 68, 094006 (2003). arXiv:hep-ph/0307337

    Article  ADS  Google Scholar 

  29. A.V. Efremov, A.V. Radyushkin, Theor. Math. Phys. 42, 97 (1980)

    Article  Google Scholar 

  30. A.V. Efremov, A.V. Radyushkin, Teor. Mat. Fiz. 42, 147 (1980)

    Article  Google Scholar 

  31. A.V. Efremov, A.V. Radyushkin, Phys. Lett. B 94, 245 (1980)

    Article  ADS  Google Scholar 

  32. G.P. Lepage, S.J. Brodsky, Phys. Lett. B 87, 359 (1979)

    Article  ADS  Google Scholar 

  33. G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980)

    Article  ADS  Google Scholar 

  34. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)

    Article  ADS  Google Scholar 

  35. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 448 (1979)

    Article  ADS  Google Scholar 

  36. S. Groote, J.G. Korner, A.A. Pivovarov, Ann. Phys. 322, 2374 (2007). arXiv:hep-ph/0506286

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. S.V. Mikhailov, A.V. Radyushkin, JETP Lett. 43, 712 (1986)

    ADS  Google Scholar 

  38. S.V. Mikhailov, A.V. Radyushkin, Pis’ma Zh. Eksp. Teor. Fiz. 43, 551 (1986)

    Google Scholar 

  39. S.V. Mikhailov, A.V. Radyushkin, Phys. Rev. D 45, 1754 (1992)

    Article  ADS  Google Scholar 

  40. V. Braun, P. Gornicki, L. Mankiewicz, Phys. Rev. D 51, 6036 (1995). arXiv:hep-ph/9410318

    Article  ADS  Google Scholar 

  41. V.M. Braun, D.Y. Ivanov, G.P. Korchemsky, Phys. Rev. D 69, 034014 (2004). arXiv:hep-ph/0309330

    Article  ADS  Google Scholar 

  42. A.P. Bakulev, S.V. Mikhailov, Phys. Rev. D 65, 114511 (2002). arXiv:hep-ph/0203046

    Article  ADS  Google Scholar 

  43. A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi, Higher Transcendental Functions. Vol. II. Based on notes left by Harry Bateman (McGraw-Hill, New York, 1954)

    Google Scholar 

  44. K.G. Chetyrkin, A. Khodjamirian, A.A. Pivovarov, Phys. Lett. B 661, 250 (2008). arXiv:0712.2999 [hep-ph]

    Article  ADS  Google Scholar 

  45. V.L. Chernyak, A.R. Zhitnitsky, Phys. Rep. 112, 173 (1984)

    Article  ADS  Google Scholar 

  46. J.R. Zhang, M.Q. Huang, Phys. Rev. D 78, 094015 (2008). arXiv:0811.3266 [hep-ph]

    Article  ADS  Google Scholar 

  47. F.X. Lee, Phys. Rev. C 57, 322 (1998). arXiv:hep-ph/9707332

    Article  ADS  Google Scholar 

  48. M. Beneke, H.G. Dosch, Phys. Lett. B 284, 116 (1992)

    Article  ADS  Google Scholar 

  49. H.G. Dosch, M. Eidemuller, M. Jamin, E. Meggiolaro, J. High Energy Phys. 0007, 023 (2000). arXiv:hep-ph/0004040

    Article  ADS  Google Scholar 

  50. H.G. Dosch, M. Jamin, S. Narison, Phys. Lett. B 220, 251 (1989)

    Article  ADS  Google Scholar 

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Acknowledgements

We thank V. Braun, A. Bharucha and Y.M.Wang for fruitful discussions. The work of W. Wang is partly supported by the Alexander-von-Humboldt Foundation. A.Ya.P. thanks the Theory Group at DESY for their kind hospitality, where the major part of this paper was done. The work of A.Ya.P. was also performed within the research program approved by the Ministry of Higher Education of the Russian Federation for Yaroslavl State University and was supported in part by the Russian Foundation for Basic Research (project No. 11-02-00394-a) and by the Ministry of Education and Science of the Russian Federation in the framework of realization of the Federal Target Program “Scientific and Pedagogic Personnel of the Innovation Russia” for 2009–2012 (project No. P-795).

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Author notes

  1. Wei Wang

    Present address: Helmholtz-Institut für Strahlen und Kernphysik, Universität Bonn, Bonn, 53115, Germany

Authors and Affiliations

  1. Deutsches Elektronen-Synchrotron DESY, 22607, Hamburg, Germany

    A. Ali & Wei Wang

  2. Technische Universität Dortmund, 44221, Dortmund, Germany

    C. Hambrock

  3. P.G. Demidov Yaroslavl State University, 150000, Yaroslavl, Russia

    A. Ya. Parkhomenko

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  1. A. Ali
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  2. C. Hambrock
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  3. A. Ya. Parkhomenko
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  4. Wei Wang
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Correspondence to A. Ali.

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Ali, A., Hambrock, C., Parkhomenko, A.Y. et al. Light-cone distribution amplitudes of the ground state bottom baryons in HQET. Eur. Phys. J. C 73, 2302 (2013). https://doi.org/10.1140/epjc/s10052-013-2302-4

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