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QCD Calculation of\(K^0 - \bar K^0 \) mixing from three-point function sum rules

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Zeitschrift für Physik C Particles and Fields

Abstract

We calculate theB parameter for\(K^0 - \bar K^0 \) mixing in the framework of QCD sum rules for a three-point function involving pseudoscalar currents, and contrast our results with other calculations. We findB=0.5±0.1±0.2, where the first error reflects uncertainties in the various QCD parameters and the second one is an estimate of uncalculated three-loop radiative and higher order quark mass corrections.

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References

  1. A Buras, in: Proc. of Inter. Europhysics Conf. on High Energy Physics, Bari, L. Nitti G. Preparata (eds) p. 1035 (1985)

  2. E. de Rafael, in: Proc. of the Int. Conf. on A European Hadron Facility, Th. Walcher (ed.) p. 143 Amsterdam: North Holland 1987

    Google Scholar 

  3. M.A. Shifman, in: Proc. Int. Symp. on Lepton and Photon Interactions at High Energies, Hamburg, 1987, W. Bartel, R. Rückl (eds.), p. 289

  4. N. Cabibbo, G. Martinelli, R. Petronzio: Nucl. Phys. B244 (1984) 381; R.C. Brower, G. Maturana, M.B. Gavela, R. Gupta: Phys. Rev. Lett. 53 (1984) 1318; C. Bernard, G. Hockney, A. Soni, T. Draper: Phys. Rev. Lett. 55 (1985) 2770

    Article  ADS  Google Scholar 

  5. A. Pich, E. de Rafael: Phys. Lett. 158B (1985) 477

    ADS  Google Scholar 

  6. B. Guberina, A. Pich, E. de Rafael: Phys. Lett. 163B (1985) 198

    ADS  Google Scholar 

  7. A. Pich, B. Guberina, E. de Rafael: Nucl Phys. B 277 (1986) 197; A. Pich, E. de Rafael: Phys. Lett. 189B (1987) 369

    Article  ADS  Google Scholar 

  8. K.G. Chetyrkin, A.L. Kataev, A.B. Krasulin, A.A. Pivovarov: Phys. Lett. 174B (1986) 104

    ADS  Google Scholar 

  9. R. Decker: Nucl. Phys. B277 (1986) 661

    Article  MathSciNet  ADS  Google Scholar 

  10. L. J. Reinders, S. Yazaki: Nucl. Phys. B288 (1987) 789

    Article  ADS  Google Scholar 

  11. D. Tadić, J. Trampetić: Phys. Lett. 114B (1982) 179; A.J. Buras, J.-M. Gerard: Nucl. Phys. B264 (1986) 371; R.S. Chivukula, J.M. Flynn, H. Georgi: Phys. Lett. 171B (1986) 453

    ADS  Google Scholar 

  12. W.A. Bardeen, A.J. Buras, J.-M. Gerard: Phys. Lett. 180B (1986) 133; MPI-PAE/PTh 45/86

    ADS  Google Scholar 

  13. W.A. Bardeen, A.J. Buras, J.-M. Gerard: MPI-PAE/PTh 55/86 (to be published in Phys. Lett.), MPI-PAE/PTh 22/87

  14. N.S. Craigie, J. Stern: Nucl. Phys. B216 (1983) 209

    Article  ADS  Google Scholar 

  15. E. Witten: Nucl. Phys. B160 (1979) 57

    Article  MathSciNet  ADS  Google Scholar 

  16. C.A. Dominguez: Z. Phys. C-Particles and Fields 26 (1984) 269

    Article  ADS  Google Scholar 

  17. C.A. Dominguez, M. Kremer, N.A. Papadopoulos, K. Schilcher: Z. Phys. C-Particles and Fields 27 (1985) 481

    Article  ADS  Google Scholar 

  18. C.A. Dominguez, E. de Rafael: Ann. Phys. (N.Y.) 174 (1987) 372

    Article  ADS  Google Scholar 

  19. H. Pagels, A. Zepeda: Phys. Rev. D5 (1972) 3262

    Article  ADS  Google Scholar 

  20. J. Gasser, H. Leutwyler: Phys. Rep. 87 (1982) 77

    Article  ADS  Google Scholar 

  21. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys. B147 (1979) 385, 448; V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Fortsch. Phys. 32 (1984) 585

    Article  ADS  Google Scholar 

  22. L.J. Reinders, H.R. Rubinstein, S. Yazaki: Phys. Rep. 127 (1985) 1

    Article  ADS  Google Scholar 

  23. S.C. Generalis, D.J. Broadhurst: Phys. Lett. 139B (1984) 85; E. Bagan, J.I. Latorre, P. Pascual: Z. Phys. 3—Particles and Fields 32 (1986) 43

    ADS  Google Scholar 

  24. C. Becchi, S. Narison, E. de Rafael, F.J. Yndurain: Z. Phys. C—Particles and Fields 8, (1981) 335

    Article  ADS  Google Scholar 

  25. S. Narison, E. de Rafael: Phys. Lett 103B (1981) 57

    ADS  Google Scholar 

  26. R.A. Bertlman, in: Proc. Intern. Symp. on Multiparticle Dynamics, M. Markytan, W. Majerotto J. Mac Naughton (eds) Singapore: World Scientific 1987; C.A. Dominguez, in: Quarks, Gluons and Hadronic Matter, R. Viollier, N. Warner (eds) Singapore: World Scientific 1987

    Google Scholar 

  27. B. Guberina, R. Meckbach, R.D. Peccei: R. Rückl, Nucl. Phys. B184 (1981) 476

    Article  ADS  Google Scholar 

  28. R.A. Bertlmann et al.: CERN-TH-4898/87 (1987)

  29. C.A. Dominguez, J. Sola: DESY Report No. DESY-87-119 (1987), to be published in Z. Phys. C—Particles and Fields

  30. Y. Chung, H.G. Dosch, M. Kremer, D. Schall: Z. Phys. C—Particles and Fields 25 (1984) 151

    Article  ADS  Google Scholar 

  31. V.M. Belyaev, B.L. Ioffe: Sov. Phys. JETP 56 (1982) 493

    Google Scholar 

  32. S.N. Nikolaev, V.A. Radyushkin: Sov. J. Nucl. Phys. 39 (1984) 91

    Google Scholar 

  33. M. Kremer, G. Schierholz: Phys. Lett. B194 (1987) 283

    Article  ADS  Google Scholar 

  34. C.A. Dominguez, N. Paver: Phys. Lett. B197 (1987) 423

    Article  ADS  Google Scholar 

  35. S. Narison, N. Paver, D. Treleani: Nuovo Cimento A74 (1983) 347; C.A. Dominguez, M. Loewe: Phys. Rev. D31 (1985) 2930; N. Paver, Riazuddin, M.D. Scadron: Phys. Lett. B 197 (1987) 430

    Article  ADS  Google Scholar 

  36. J. Bijnens, B. Guberina: Phys. Lett. B205 (1988) 103

    Article  ADS  Google Scholar 

  37. J.F. Donoghue, E. Golowich, B.R. Holstein: Phys. Lett. B119 (1982) 412

    Article  ADS  Google Scholar 

  38. J. Bijnens, H. Sonoda, M. Wise: Phys. Rev. Lett. 53 (1984) 2367

    Article  ADS  Google Scholar 

  39. H. Galić: Phys. Rev. D31 (1985) 2363; Z. Phys. C—Particles and Fields 29 (1985) 519

    Article  ADS  Google Scholar 

  40. B. Stech: Phys. Rev. D(to be published); Heidelberg Report No. HD-THEP-87-7 (1987); Invited talk at the San Miniato Topical Seminar on Heavy Flavors (1987), Heidelberg Report No. HD-THEP-87-18 (1987)

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Bilić, N., Dominguez, C.A. & Guberina, B. QCD Calculation of\(K^0 - \bar K^0 \) mixing from three-point function sum rules. Z. Phys. C - Particles and Fields 39, 351–358 (1988). https://doi.org/10.1007/BF01548284

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  • DOI: https://doi.org/10.1007/BF01548284

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