Advertisement

ΔS = 0 effective weak chiral Lagrangianfrom the instanton vacuum

  • Hee-Jung LeeEmail author
  • Chang Ho Hyun
  • Chang-Hwan Lee
  • Hyun-Chul Kim
Theoretical Physics

Abstract.

We investigate the ΔS = 0 effective chiral Lagrangian from the instanton vacuum. Based on the ΔS = 0 effective weak Hamiltonian from the operator product expansion and renormalization group equations, we derive the strangeness-conserving effective weak chiral Lagrangian from the instanton vacuum to order \({{\mathcal{O}}}(p^2)\) and the next-to-leading order in the 1/N c expansion at the quark level. We find that the quark condensate and a dynamical term which arise from the QCD and electroweak penguin operators appear in the next-to-leading order in the 1/N c expansion for the ΔS = 0 effective weak chiral Lagrangian, while they are in the leading order terms in the ΔS = 1 case. Three different types of form factors are employed and we find that the dependence on the different choices of the form factor is rather insensitive. The low-energy constants of the Gasser-Leutwyler type are determined and discussed in the chiral limit.

Keywords

Elementary Particle Quantum Field Theory Form Factor Order Term Renormalization Group 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.A. Bouchiat, C.C. Bouchiat, Phys. Lett. B 48, 111 (1974)CrossRefADSGoogle Scholar
  2. 2.
    C.S. Wood, S.C. Bennett, D. Cho, B.P. Masterson, J.L. Roberts, C.E. Tanner, C.E. Wieman, Science 275, 1759 (1997)CrossRefGoogle Scholar
  3. 3.
    S.C. Bennett, C.E. Wieman, Phys. Rev. Lett. 82, 2484 (1999) [hep-ex/9903022]CrossRefADSGoogle Scholar
  4. 4.
    M.J.D. Macpherson, K.P. Zetie, R.B. Warrington, D.N. Stacey, J.P. Hoare, Phys. Rev. Lett. 67, 2784 (1991)CrossRefADSGoogle Scholar
  5. 5.
    P.A. Vetter, D.M. Meekhof, P.K. Majumder, S.K. Lamoreaux, E.N. Fortson, Phys. Rev. Lett. 74, 2658 (1995)CrossRefADSGoogle Scholar
  6. 6.
    R. Casalbuoni, S. De Curtis, D. Dominici, R. Gatto, Phys. Lett. B 460, 135 (1999) [hep-ph/9905568]CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    J.L. Rosner, Phys. Rev. D 61, 016006 (2000) [hep-ph/9907524]CrossRefADSGoogle Scholar
  8. 8.
    J. Erler, P. Langacker, Phys. Rev. Lett. 84, 212 (2000) [hep-ph/9910315]CrossRefADSGoogle Scholar
  9. 9.
    R. Hasty et al. [SAMPLE Collaboration], Science 290, 2117 (2000); T.M. Ito et al. [SAMPLE Collaboration], Phys. Rev. Lett. 92, 102003 (2004); D.T. Spayde et al. [SAMPLE Collaboration], Phys. Lett. B 583, 79 (2004) [nucl-ex/0312016]; K.A. Aniol et al. [HAPPEX Collaboration], Phys. Lett. B 509, 211 (2001); F.E. Maas et al. [A4 Collaboration], Phys. Rev. Lett. 93, 022002 (2004)CrossRefGoogle Scholar
  10. 10.
    B. Desplanques, J.F. Donoghue, B.R. Holstein, Annals Phys. 124, 449 (1980)CrossRefADSGoogle Scholar
  11. 11.
    R.D.C. Miller, Phys. Rept. 106, 169 (1984)CrossRefADSGoogle Scholar
  12. 12.
    V.M. Dubovik, S.V. Zenkin, Ann. Phys. 172, 100 (1986)CrossRefADSGoogle Scholar
  13. 13.
    M.M. Nagels, T.A. Rijken, J.J. de Swart, Phys. Rev. D 12, 744 (1975)CrossRefADSGoogle Scholar
  14. 14.
    R. Machleidt, K. Holinde, C. Elster, Phys. Rept. 149, 1 (1987)CrossRefGoogle Scholar
  15. 15.
    S. Kistryn et al. , Phys. Rev. Lett. 58, 1616 (1987); P.D. Eversheim et al. , Phys. Lett. B 256, 11 (1991); A.R. Berdoz et al. [TRIUMF E497 Collaboration], Phys. Rev. Lett. 87, 272301 (2001)CrossRefADSGoogle Scholar
  16. 16.
    J.F. Cavaignac, B. Vignon, R. Wilson, Phys. Lett. B 67, 148 (1977)CrossRefADSGoogle Scholar
  17. 17.
    W.M. Snow et al. , Nucl. Instrum. Meth. A 440, 729 (2000)CrossRefGoogle Scholar
  18. 18.
    C.A. Barnes et al. , Phys. Rev. Lett. 40, 840 (1978); P.G. Bizzeti, T.F. Fazzini, P.R. Maurenzig, A. Perego, G. Poggi, P. Sona, N. Taccetti, Lett. Nuovo Cim. 29, 167 (1980); S.A. Page et al. , Phys. Rev. C 35, 1119 (1987)CrossRefADSGoogle Scholar
  19. 19.
    E.G. Adelberger, W.C. Haxton, Ann. Rev. Nucl. Part. Sci. 35, 501 (1985)CrossRefADSGoogle Scholar
  20. 20.
    D.B. Kaplan, M.J. Savage, Nucl. Phys. A 556, 653 (1993) [Erratum A 570, 833 (1994); A 580, 679 (1994)]CrossRefADSGoogle Scholar
  21. 21.
    J.W. Chen, X.D. Ji, Phys. Lett. B 501, 209 (2001) [nucl-th/0011100]CrossRefADSGoogle Scholar
  22. 22.
    W.S. Wilburn, J.D. Bowman, Phys. Rev. C 57, 3425 (1998) [nucl-ex/9802006]CrossRefADSGoogle Scholar
  23. 23.
    N. Kaiser, U.G. Meissner, Nucl. Phys. A 489, 671 (1988)CrossRefADSGoogle Scholar
  24. 24.
    N. Kaiser, U.G. Meissner, Nucl. Phys. A 499, 699 (1989)CrossRefADSGoogle Scholar
  25. 25.
    U.G. Meissner, H. Weigel, Phys. Lett. B 447, 1 (1999) [nucl-th/9807038]CrossRefADSGoogle Scholar
  26. 26.
    G. Altarelli, K. Ellis, L. Maiani, R. Petronzio, Nucl. Phys. B 88, 215 (1975)CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    H. Galic, B. Guberina, D. Tadic, Phys. Rev. D 14, 2327 (1976)CrossRefADSGoogle Scholar
  28. 28.
    J.F. Donoghue, Phys. Rev. D 13, 2064 (1976)CrossRefADSGoogle Scholar
  29. 29.
    J. Dai, M.J. Savage, J. Liu, R.P. Springer, Phys. Lett. B 271, 403 (1991)CrossRefADSGoogle Scholar
  30. 30.
    D. Diakonov, V.Y. Petrov, Nucl. Phys. B 245, 259 (1984); Nucl. Phys. B 272, 457 (1986); D. Diakonov, hep-ph/9602375; hep-ph/9802298CrossRefADSGoogle Scholar
  31. 31.
    H.-J. Lee, C.H. Hyun, H.-Ch. Kim, in preparationGoogle Scholar
  32. 32.
    V.Y. Petrov, M.V. Polyakov, R. Ruskov, C. Weiss, K. Goeke, Phys. Rev. D 59, 114018 (1999) [hep-ph/9807229]CrossRefADSGoogle Scholar
  33. 33.
    M. Praszalowicz, A. Rostworowski, Phys. Rev. D 64, 074003 (2001) [hep-ph/0105188]CrossRefADSGoogle Scholar
  34. 34.
    M. Franz, H.-Ch. Kim, K. Goeke, Nucl. Phys. B 562, 213 (1999) [hep-ph/9903275]CrossRefADSGoogle Scholar
  35. 35.
    M. Franz, H.-Ch. Kim, K. Goeke, Nucl. Phys. A 663, 995 (2000) [hep-ph/9907457]CrossRefADSGoogle Scholar
  36. 36.
    M. Franz, H.-Ch. Kim, K. Goeke, Nucl. Phys. A 699, 541 (2002) [hep-ph/9908400]CrossRefADSzbMATHGoogle Scholar
  37. 37.
    H.A. Choi, H.-Ch. Kim, Phys. Rev. D 69, 054004 (2004) [hep-ph/0308171]CrossRefADSGoogle Scholar
  38. 38.
    M. Fukugita, T. Inami, N. Sakai, S. Yazaki, Phys. Lett. B 72, 237 (1977)CrossRefADSMathSciNetGoogle Scholar
  39. 39.
    D. Tadić, J. Trampedić, Phys. Lett. B 114, 179 (1982)CrossRefADSGoogle Scholar
  40. 40.
    R.S. Chivukula, J.M. Flynn, H. Georgi, Phys. Lett. B 171, 453 (1986)CrossRefADSGoogle Scholar
  41. 41.
    W.A. Bardeen, A.J. Buras, J.M. Gerard, Phys. Lett. B 192, 138 (1987); Nucl. Phys. B 293, 787 (1987)CrossRefADSGoogle Scholar
  42. 42.
    J.L. Goity, Nucl. Phys. B 315, 361 (1989)CrossRefADSGoogle Scholar
  43. 43.
    A. Pich, E. de Rafael, Phys. Lett. B 374, 186 (1996)CrossRefADSGoogle Scholar
  44. 44.
    R.D. Bowler, M.C. Birse, Nucl. Phys. A 582, 655 (1995) [hep-ph/9407336]CrossRefADSGoogle Scholar
  45. 45.
    B. Golli, W. Broniowski, G. Ripka, Phys. Lett. B 437, 24 (1998) [hep-ph/9807261]CrossRefADSGoogle Scholar
  46. 46.
    J. Bijnens, P. Gosdzinsky, P. Talavera, JHEP 9801, 014 (1998) [hep-ph/9708232]ADSGoogle Scholar
  47. 47.
    K. Hagiwara et al. , Phys. Rev. D 66, 010001 (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • Hee-Jung Lee
    • 1
    • 2
    Email author
  • Chang Ho Hyun
    • 3
    • 4
  • Chang-Hwan Lee
    • 1
  • Hyun-Chul Kim
    • 1
  1. 1.Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI)Pusan National UniversityBusanRepublic of Korea
  2. 2.Departament de Fisica TeóricaUniversitat de ValénciaBurjassot (Valéncia)Spain
  3. 3.Seoul National UniversitySchool of PhysicsSeoulRepublic of Korea
  4. 4.Institute of Basic ScienceSungkyunkwan UniversitySuwonRepublic of Korea

Personalised recommendations