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A perturbative approach toB decays into two π mesons

  • Theroretical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

The modified perturbative approach in which transverse degrees of freedom as well as Sudakov suppressions are taken into account, is applied toB decays into two π mesons. The influence of various model parameters (CKM) matrix elements,B decay constant, mesonic wave functions) on the results as well as short distance corrections to the weak Hamiltonian are discussed in some detail. The perturbative contributions to theB decays yield branching ratios of the order of 10−7–10−6 which values are well below the upper limit for the\(\bar B^0 \to \pi ^ + \pi ^ -\) branching ratio as measured by CLEO.

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References

  1. M. Battle et al.: CLEO collaboration: Phys. Rev. Lett. 71 (1993) 3922

    Google Scholar 

  2. M. Bauer, B. Stech, M. Wirbel: Z. Phys. C 29 (1985) 637; ibid. M. Bauer, B. Stech, M. Wirbel: Z. Phys. C34 (1990) 103

    Google Scholar 

  3. A. Szezepaniak, E.M. Henley, S.J. Brodsky: Phys. Lett. B243 (1990) 287

    Google Scholar 

  4. H. Simma, D. Wyler: Phys. Lett. B272 (1991) 395

    Google Scholar 

  5. G. Burdman, J.F. Donoghue: Phys. Lett. B270 (1991) 55

    Google Scholar 

  6. C.E. Carlson, J. Milana: Phys. Lett. B301 (1993) 237

    Google Scholar 

  7. R. Fleischer: Z. Phys. C58 (1993) 483

    Google Scholar 

  8. T. Huang, C.-W. Luo: preprint FERMILAB-PUB-94-087-T (1994)

  9. J. Botts, G. Sterman: Nucl. Phys. B325 (1989) 62

    Google Scholar 

  10. H.-N. Li, G. Sterman: Nucl. Phys. B381 (1992) 129

    Google Scholar 

  11. H.-N. Li: Phys. Rev. D48 (1993) 4243

    Google Scholar 

  12. R. Jakob, P. Kroll: Phys. Lett. B315 (1993) 463; B319 (1993) 545(E)

    Google Scholar 

  13. J. Bolz, R. Jakob, P. Kroll, M. Bergmann, N.G. Stefanis: Phys. Lett. B342 (1995) 345 and Z. Phys. C66 (1995) 267

    Google Scholar 

  14. R. Jakob, P. Kroll, M. Raulfs: preprint WU B 94-28 (1994), hep-ph/94 10 304

  15. N. Isgur, C.H. Llewellyn Smith: Nucl. Phys. B317 (1989) 526

    Google Scholar 

  16. H.-N. Li, H.-L. Yu: preprint CCUTH-94-04, hep-ph/94 113 08 and CCUTH-94-05 (1994), hep-ph/94 09313

  17. S. Coleman, R.E. Norton: Nuovo Cim. 38 (1965) 438

    Google Scholar 

  18. C.E. Carlson, J. Milana: Phys. Rev. D49 (1994) 5908

    Google Scholar 

  19. J.C. Collins, D.E. Soper: Nucl. Phys. B193 (1981) 381; ibid J.C. Collins, D.E. Soper: Nucl. Phys. B194 (1982) 445; J. C. Collins, D.E. Soper G.Sterman: Nucl. Phys. B250 (1985) 199; J. C. Collins, D. E. Soper, G. Sterman: in Perturbative QCD, ed. A.H. Mueller (World Scientific, Singapore, 1989)

    Google Scholar 

  20. S.J. Brodsky, T. Huang, G.P. Lepage: Banff Summer Institute, Particles and Fields 2, eds. A.Z. Capri and A.N. Kamal (1983) p. 143

  21. V.L. Chernyak, A.R. Zhitnitsky: Nucl. Phys. B201 (1982) 492, B214 (1983) 547 (E)

    Google Scholar 

  22. A.R. Zhitnitsky Phys. Lett. B329 (1994) 493

    Google Scholar 

  23. C. Alexandrou et al.: Z. Phys. C62 (1994) 659

    Google Scholar 

  24. J.G. Körner, P. Kroll: Z. Phys. C57 (1993) 383

    Google Scholar 

  25. A. Buras, M. Jamin, M.E. Lautenbacher, P.H. Weisz: Nucl. Phys. B370 (1992) 69

    Google Scholar 

  26. A. Ali, G.F. Giudice, T. Mannel: preprint CERN-TH.7346/94, hep-ph/94 08213

  27. M. Gronau, D. London: Phys. Rev. Lett. 65 (1990) 3381

    Google Scholar 

  28. G. Kramer, W.F. Palmer, H. Simma: preprint DESY 94-170 (1994), hep-ph/94 10406

  29. G. Burdman, Z. Ligeti, M. Neubert, Y. Nir: Phys. Rev. D49 (1994) 2331

    Google Scholar 

  30. B. Ong et al. CLEO collaboration: Phys. Rev. Lett. 70 (1993) 18

    Google Scholar 

  31. P. Ball, V. Braun, H.G. Dosch: Phys. Lett. B273 (1991) 316

    Google Scholar 

  32. V.M. Belyaev, A. Khodjamirian, R. Rückl: Z. Phys. C60 (1993) 349

    Google Scholar 

  33. C.R. Allton et al.: Phys. Lett. B345 (1995) 513

    Google Scholar 

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Author notes

  1. R. Jakob

    Present address: NIKHEF-K, P. O. Box 41882, NL-1009 DB, Amsterdam, The Netherlands

Authors and Affiliations

  1. Fachbereich Physik, Universität Wuppertal, D-42097, Wuppertal, Germany

    M. Dahm, R. Jakob & P. Kroll

Authors
  1. M. Dahm
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  2. R. Jakob
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  3. P. Kroll
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Supported by the Deutsche Forschungsgemeinschaft

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Dahm, M., Jakob, R. & Kroll, P. A perturbative approach toB decays into two π mesons. Z. Phys. C - Particles and Fields 68, 595–605 (1995). https://doi.org/10.1007/BF01565259

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  • DOI: https://doi.org/10.1007/BF01565259

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