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B K from the lattice with Wilson quarks

  • D. Bećirević
  • Ph. Boucaud
  • V. Giménez
  • V. Lubicz
  • M. Papinutto
theoretical physics

Abstract.

We report our results for the bag parameter B K obtained from the quenched simulations on the lattice with Wilson fermions for three values of the lattice spacing. We implemented the method by which no subtraction of the mixing with other four-fermion \(\Delta S = 2\) operators is needed. Our final result, in terms of the renormalization group invariant bag parameter, is \(\hat B_K = 0.96\pm 0.10\).

Keywords

Renormalization Group Lattice Spacing Wilson Fermion Wilson Quark 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    K. Hagiwara et al. [PDG], Phys. Rev. D 66, 010001 (2002)CrossRefGoogle Scholar
  2. 2.
    A. Donini, V. Giménez, G. Martinelli, M. Talevi, A. Vladikas, Eur. Phys. J. C 10, 121 (1999) [hep-lat/9902030]CrossRefGoogle Scholar
  3. 3.
    M. Guagnelli, J. Heitger, C. Pena, S. Sint, A. Vladikas [ALPHA collaboration], Nucl. Phys. Proc. Suppl. 119, 436 (2003) [hep-lat/0209046]CrossRefMATHGoogle Scholar
  4. 4.
    G. Altarelli, G. Curci, G. Martinelli, S. Petrarca, Nucl. Phys. B 187, 461 (1981); A.J. Buras, M. Jamin, P.H. Weisz, Nucl. Phys. B 347, 491 (1990)CrossRefGoogle Scholar
  5. 5.
    M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, I. Scimemi, L. Silvestrini, Nucl. Phys. B 523, 501 (1998) [hep-ph/9711402]; A.J. Buras, M. Misiak, J. Urban, Nucl. Phys. B 586, 397 (2000) [hep-ph/0005183]CrossRefGoogle Scholar
  6. 6.
    F. Palombi, C. Pena, S. Sint, hep-lat/0408018Google Scholar
  7. 7.
    S. Herrlich, U. Nierste, Nucl. Phys. B 419, 292 (1994) [hep-ph/9310311]; Phys. Rev. D 52, 6505 (1995) [hep-ph/9507262]CrossRefGoogle Scholar
  8. 8.
    S. Aoki et al. [JLQCD Collaboration], Phys. Rev. D 60, 034511 (1999) [hep-lat/9901018]CrossRefGoogle Scholar
  9. 9.
    D. Becirevic, D. Meloni, A. Retico, JHEP 0101, 012 (2001) [hep-lat/0012009]; J.M. Flynn, F. Mescia, A.S.B. Tariq [UKQCD Collaboration], hep-lat/0406013Google Scholar
  10. 10.
    D. Becirevic, V. Giménez, V. Lubicz, G. Martinelli, M. Papinutto, J. Reyes, hep-lat/0401033Google Scholar
  11. 11.
    D. Becirevic, P. Boucaud, V. Giménez, V. Lubicz, G. Martinelli, J. Micheli, M. Papinutto, Phys. Lett. B 487, 74 (2000) [hep-lat/0005013]CrossRefGoogle Scholar
  12. 12.
    R. Frezzotti, P.A. Grassi, S. Sint, P. Weisz [Alpha collaboration], JHEP 0108, 058 (2001) [hep-lat/0101001]Google Scholar
  13. 13.
    P. Dimopoulos, J. Heitger, C. Pena, S. Sint, A. Vladikas [ALPHA Collaboration], Nucl. Phys. Proc. Suppl. 129, 308 (2004) [hep-lat/0309134]CrossRefGoogle Scholar
  14. 14.
    D. Becirevic, V. Lubicz, C. Tarantino [SPQ(CD)R Collaboration], Phys. Lett. B 558, 69 (2003) [hep-lat/0208003]; JHEP 0305, 007 (2003) [hep-lat/0301020]CrossRefGoogle Scholar
  15. 15.
    S. Necco, R. Sommer, Nucl. Phys. B 622, 328 (2002) [hep-lat/0108008]CrossRefGoogle Scholar
  16. 16.
    S. Capitani, M. Luscher, R. Sommer, H. Wittig [ALPHA Collaboration], Nucl. Phys. B 544, 669 (1999) [hep-lat/9810063]CrossRefGoogle Scholar
  17. 17.
    M.B. Gavela, L. Maiani, S. Petrarca, F. Rapuano, G. Martinelli, O. Pene, C.T. Sachrajda, Nucl. Phys. B 306, 677 (1988)CrossRefGoogle Scholar
  18. 18.
    S. Aoki et al. [JLQCD Collaboration], Phys. Rev. Lett. 80, 5271 (1998) [hep-lat/9710073]CrossRefGoogle Scholar
  19. 19.
    S.R. Sharpe, Phys. Rev. D 46, 3146 (1992) [hep-lat/9205020]; D. Becirevic, G. Villadoro, Phys. Rev. D 69, 054010 (2004) [hep-lat/0311028]CrossRefGoogle Scholar
  20. 20.
    M. Battaglia et al. , hep-ph/0304132; D. Becirevic, Nucl. Phys. Proc. Suppl. 129, 34 (2004); L. Giusti, hep-ph/0312006CrossRefGoogle Scholar
  21. 21.
    S. Bethke, Nucl. Phys. Proc. Suppl. 121, 74 (2003) [hep-ex/0211012]CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • D. Bećirević
    • 1
  • Ph. Boucaud
    • 1
  • V. Giménez
    • 2
  • V. Lubicz
    • 3
  • M. Papinutto
    • 4
  1. 1.Laboratoire de Physique Théorique (Bât.210)Université Paris Sud, Centre d’OrsayOrsay-cedexFrance
  2. 2.Burjassot, ValénciaUniv. de ValénciaSpain
  3. 3.Dip. di fisicaUniv. di Roma Tre and INFN, Sezione di Roma IIIRomeItaly
  4. 4.NIC/DESY ZeuthenZeuthenGermany

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