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The European Physical Journal C

, Volume 63, Issue 3, pp 391–406 | Cite as

O(α s ) corrections to the polar angle dependence of the longitudinal spin–spin correlation asymmetry in \(e^{+}e^{-}\to q\bar{q}\)

  • S. GrooteEmail author
  • J. G. Körner
  • J. A. Leyva
Regular Article - Theoretical Physics

Abstract

We provide analytical results for the O(α s ) corrections to the polar angle dependence of the longitudinal spin–spin correlation asymmetry in \(e^{+}e^{-}\to q\bar{q}\) . For top quark pair production the O(α s ) corrections to the longitudinal spin–spin asymmetry are strongly polar angle dependent and can amount up to ≃4% in the q 2-range from above \(t\bar{t}\) threshold up to \(\sqrt{q^{2}}=1000\ \mbox {GeV}\) . The O(α s ) radiative corrections to the correlation asymmetry are below ≈1% in the forward direction where the cross section is largest. In the \(e^{+}e^{-}\to b\bar{b}\) case the O(α s ) corrections reduce the asymmetry value from its m b =0 value of −100% to approximately −96% for q 2-values around the Z peak and are practically independent of the value of the polar angle θ. This reduction can be traced to finite anomalous contributions from residual mass effects which survive the m b →0 limit. We discuss the role of the anomalous contributions and the pattern of how they contribute to spin-flip and non-flip terms.

Keywords

Radiative Correction International Linear Collider Spin Asymmetry Spin Density Matrix High Energy Limit 
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.
    W. Bernreuther, J. Phys. G 35, 083001 (2008) CrossRefADSGoogle Scholar
  2. 2.
    S.J. Parke, Y. Shadmi, Phys. Lett. B 387, 199 (1996) CrossRefADSGoogle Scholar
  3. 3.
    Y. Akatsu, O. Terazawa, Int. J. Mod. Phys. A 12, 2613 (1997) CrossRefADSGoogle Scholar
  4. 4.
    H.A. Olsen, J.B. Stav, Phys. Rev. D 56, 407 (1997) CrossRefADSGoogle Scholar
  5. 5.
    M.M. Tung, J. Bernabéu, J. Peñarrocha, Phys. Lett. B 418, 181 (1998) CrossRefADSGoogle Scholar
  6. 6.
    S. Groote, J.G. Körner, J.A. Leyva, Phys. Lett. B 418, 192 (1998) CrossRefADSGoogle Scholar
  7. 7.
    A. Brandenburg, M. Flesch, P. Uwer, Phys. Rev. D 59, 014001 (1999) CrossRefADSGoogle Scholar
  8. 8.
    W. Bernreuther, A. Brandenburg, P. Uwer, Phys. Rev. Lett. 79, 189 (1997) CrossRefADSGoogle Scholar
  9. 9.
    G. Rodrigo, A. Santamaria, M.S. Bilenky, Phys. Rev. Lett. 79, 193 (1997) CrossRefADSGoogle Scholar
  10. 10.
    P. Nason, C. Oleari, Phys. Lett. B 407, 57 (1997) CrossRefADSGoogle Scholar
  11. 11.
    S. Groote, J.G. Körner, J.A. Leyva, Phys. Rev. D 56, 6031 (1997) CrossRefADSGoogle Scholar
  12. 12.
    S. Groote, J.G. Körner, J.A. Leyva, Eur. Phys. J. C 7, 49 (1999) ADSGoogle Scholar
  13. 13.
    G. Grunberg, Y.J. Ng, S.H.H. Tye, Phys. Rev. D 21, 62 (1980) CrossRefADSGoogle Scholar
  14. 14.
    J.G. Körner, A. Pilaftsis, M.M. Tung, Z. Phys. C 63, 575 (1994) CrossRefADSGoogle Scholar
  15. 15.
    S. Groote, J.G. Körner, M.M. Tung, Z. Phys. C 74, 615 (1997) CrossRefGoogle Scholar
  16. 16.
    T.D. Lee, M. Nauenberg, Phys. Rev. B 133, 1549 (1964) CrossRefADSMathSciNetGoogle Scholar
  17. 17.
    R. Kleiss, Z. Phys. C 33, 433 (1987) CrossRefADSGoogle Scholar
  18. 18.
    S. Jadach, J.H. Kühn, R.G. Stuart, Z. Was, Z. Phys. C 38, 609 (1988). Erratum-ibid. Z. Phys. C 45, 528 (1990) CrossRefADSGoogle Scholar
  19. 19.
    H.F. Contopanagos, M.B. Einhorn, Phys. Lett. B 277, 345 (1992) CrossRefADSGoogle Scholar
  20. 20.
    H.F. Contopanagos, M.B. Einhorn, Nucl. Phys. B 377, 20 (1992) CrossRefADSGoogle Scholar
  21. 21.
    S. Dittmaier, A. Kaiser, Phys. Rev. D 65, 113003 (2002) CrossRefADSGoogle Scholar
  22. 22.
    A.V. Smilga, Comments Nucl. Part. Phys. 20, 69 (1991) Google Scholar
  23. 23.
    Z. Was, Acta Phys. Pol. B 18, 1099 (1987) Google Scholar
  24. 24.
    B. Falk, L.M. Sehgal, Phys. Lett. B 325, 509 (1994) CrossRefADSGoogle Scholar
  25. 25.
    M. Fischer, S. Groote, J.G. Körner, M.C. Mauser, Phys. Rev. D 67, 113008 (2003) CrossRefADSGoogle Scholar
  26. 26.
    L. Trentadue, M. Verbeni, Nucl. Phys. B 583, 307 (2000) CrossRefADSGoogle Scholar
  27. 27.
    L. Trentadue, M. Verbeni, Phys. Lett. B 478, 137 (2000) CrossRefADSGoogle Scholar
  28. 28.
    L.M. Sehgal, Phys. Lett. B 569, 25 (2003) CrossRefADSGoogle Scholar
  29. 29.
    V.S. Schulz, L.M. Sehgal, Phys. Lett. B 594, 153 (2004) CrossRefADSGoogle Scholar
  30. 30.
    E. Gabrielli, L. Trentadue, Nucl. Phys. B 792, 48 (2008) zbMATHCrossRefADSGoogle Scholar
  31. 31.
    S. Groote, W.S. Huo, A. Kadeer, J.G. Körner, Phys. Rev. D 76, 014012 (2007) CrossRefADSGoogle Scholar
  32. 32.
    M.M. Tung, J. Bernabéu, J. Peñarrocha, Nucl. Phys. B 470, 41 (1996) CrossRefADSGoogle Scholar
  33. 33.
    J. Kodaira, T. Nasuno, S.J. Parke, Phys. Rev. D 59, 014023 (1999) CrossRefADSGoogle Scholar
  34. 34.
    S. Groote, J.G. Körner, M.M. Tung, Z. Phys. C 70, 281 (1996) CrossRefGoogle Scholar
  35. 35.
    V. Ravindran, W.L. van Neerven, Nucl. Phys. B 589, 507 (2000) CrossRefADSGoogle Scholar
  36. 36.
    C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008) CrossRefADSGoogle Scholar
  37. 37.
    S. Groote, J.G. Körner, No. Report MZ-TH/08-39. arXiv:0811.2728 [hep-ph]
  38. 38.
    S. Groote, J.G. Körner, J.A. Leyva, Nucl. Phys. B 527, 3 (1998) CrossRefADSGoogle Scholar
  39. 39.
    A.D. Dolgov, V.I. Zakharov, Nucl. Phys. B 27, 525 (1971) CrossRefADSGoogle Scholar
  40. 40.
    J. Hořejši, Phys. Rev. D 32, 1029 (1985) CrossRefADSGoogle Scholar
  41. 41.
    J. Hořejši, O. Teryaev, Z. Phys. C 65, 691 (1995) CrossRefADSGoogle Scholar
  42. 42.
    M. Fischer, S. Groote, J.G. Körner, M.C. Mauser, B. Lampe, Phys. Lett. B 451, 406 (1999) CrossRefADSGoogle Scholar
  43. 43.
    M. Fischer, S. Groote, J.G. Körner, M.C. Mauser, Phys. Rev. D 63, 031501 (2001) CrossRefADSGoogle Scholar
  44. 44.
    M. Fischer, S. Groote, J.G. Körner, M.C. Mauser, Phys. Rev. D 65, 054036 (2002) CrossRefADSGoogle Scholar
  45. 45.
    H.S. Do, S. Groote, J.G. Körner, M.C. Mauser, Phys. Rev. D 67, 091501 (2003) CrossRefADSGoogle Scholar
  46. 46.
    F.E. Close, J.G. Körner, R.J.N. Phillips, D.J. Summers, J. Phys. G 18, 1716 (1992) Google Scholar
  47. 47.
    A.F. Falk, M.E. Peskin, Phys. Rev. D 49, 3320 (1994) CrossRefADSGoogle Scholar
  48. 48.
    G. Bonvicini, L. Randall, Phys. Rev. Lett. 73, 392 (1994) CrossRefADSGoogle Scholar
  49. 49.
    C. Diaconu, M. Talby, J.G. Körner, D. Pirjol, Phys. Rev. D 53, 6186 (1996) CrossRefADSGoogle Scholar
  50. 50.
    J. Erler, S. Heinemeyer, W. Hollik, G. Weiglein, P.M. Zerwas, Phys. Lett. B 486, 125 (2000) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2009

Authors and Affiliations

  1. 1.Institut für PhysikJohannes-Gutenberg-UniversitätMainzGermany
  2. 2.Loodus- ja Tehnoloogiateaduskond, Füüsika InstituutTartu ÜlikoolTartuEstonia

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