The European Physical Journal C

, Volume 70, Issue 3, pp 659–671 | Cite as

Electroweak Sudakov logarithms and real gauge-boson radiation in the TeV region

Regular Article - Theoretical Physics

Abstract

Electroweak radiative corrections give rise to large negative, double-logarithmically enhanced corrections in the TeV region. These are partly compensated by real radiation and, moreover, affected by selecting isospin-non-invariant external states. We investigate the impact of real gauge boson radiation more quantitatively by considering different restricted final state configurations. We consider successively a massive abelian gauge theory, a spontaneously broken SU(2) theory and the electroweak Standard Model. We find that details of the choice of the phase space cuts, in particular whether a fraction of collinear and soft radiation is included, have a strong impact on the relative amount of real and virtual corrections.

Keywords

Gauge Boson Initial State Radiation Virtual Correction Real Radiation Sudakov Factor 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V.V. Sudakov, Sov. Phys. JETP 3, 65 (1956) [Zh. Eksp. Teor. Fiz. 30 (1956) 87] MATHMathSciNetGoogle Scholar
  2. 2.
    R. Jackiw, Ann. Phys. 48, 292 (1968) CrossRefADSGoogle Scholar
  3. 3.
    R. Jackiw, Ann. Phys. 51, 575 (1969) CrossRefGoogle Scholar
  4. 4.
    M. Kuroda, G. Moultaka, D. Schildknecht, Nucl. Phys. B 350, 25 (1991) CrossRefADSGoogle Scholar
  5. 5.
    G. Degrassi, A. Sirlin, Phys. Rev. D 46, 3104 (1992) CrossRefADSGoogle Scholar
  6. 6.
    M. Beccaria, G. Montagna, F. Piccinini, F.M. Renard, C. Verzegnassi, Phys. Rev. D 58, 093014 (1998). arXiv:hep-ph/9805250 CrossRefADSGoogle Scholar
  7. 7.
    P. Ciafaloni, D. Comelli, Phys. Lett. B 446, 278 (1999). arXiv:hep-ph/9809321 CrossRefADSGoogle Scholar
  8. 8.
    J.H. Kuhn, A.A. Penin, arXiv:hep-ph/9906545
  9. 9.
    P. Ciafaloni, D. Comelli, Phys. Lett. B 476 49 (2000). arXiv:hep-ph/9910278 CrossRefADSGoogle Scholar
  10. 10.
    V.S. Fadin, L.N. Lipatov, A.D. Martin, M. Melles, Phys. Rev. D 61, 094002 (2000). arXiv:hep-ph/9910338 CrossRefADSGoogle Scholar
  11. 11.
    J.H. Kuhn, A.A. Penin, V.A. Smirnov, Eur. Phys. J. C 17, 97 (2000). arXiv:hep-ph/9912503 CrossRefADSGoogle Scholar
  12. 12.
    J.H. Kuhn, A.A. Penin, V.A. Smirnov, Nucl. Phys. Proc. Suppl. 89, 94 (2000). arXiv:hep-ph/0005301 CrossRefADSGoogle Scholar
  13. 13.
    J.H. Kuhn, S. Moch, A.A. Penin, V.A. Smirnov, Nucl. Phys. B 616, 286 (2001). Erratum-ibid. B 648, 455 (2003). arXiv:hep-ph/0106298 CrossRefADSGoogle Scholar
  14. 14.
    M. Beccaria, P. Ciafaloni, D. Comelli, F.M. Renard, C. Verzegnassi, Phys. Rev. D 61, 073005 (2000). arXiv:hep-ph/9906319 CrossRefADSGoogle Scholar
  15. 15.
    M. Beccaria, P. Ciafaloni, D. Comelli, F.M. Renard, C. Verzegnassi, Phys. Rev. D 61, 011301 (2000). arXiv:hep-ph/9907389 CrossRefADSGoogle Scholar
  16. 16.
    M. Beccaria, F.M. Renard, C. Verzegnassi, Phys. Rev. D 63, 053013 (2001). arXiv:hep-ph/0010205 CrossRefADSGoogle Scholar
  17. 17.
    M. Melles, Phys. Rev. D 63, 034003 (2001). arXiv:hep-ph/0004056 CrossRefADSGoogle Scholar
  18. 18.
    A. Denner, S. Pozzorini, Eur. Phys. J. C 18, 461 (2001). arXiv:hep-ph/0010201 CrossRefADSGoogle Scholar
  19. 19.
    A. Denner, S. Pozzorini, Eur. Phys. J. C 21, 63 (2001). arXiv:hep-ph/0104127 CrossRefADSGoogle Scholar
  20. 20.
    M. Hori, H. Kawamura, J. Kodaira, Phys. Lett. B 491, 275 (2000). arXiv:hep-ph/0007329 CrossRefADSGoogle Scholar
  21. 21.
    W. Beenakker, A. Werthenbach, Nucl. Phys. B 630, 3 (2002). arXiv:hep-ph/0112030 MATHCrossRefADSGoogle Scholar
  22. 22.
    B. Feucht, J.H. Kuhn, S. Moch, Phys. Lett. B 561, 111 (2003). arXiv:hep-ph/0303016 CrossRefADSGoogle Scholar
  23. 23.
    A. Denner, M. Melles, S. Pozzorini, Nucl. Phys. B 662, 299 (2003). arXiv:hep-ph/0301241 CrossRefADSGoogle Scholar
  24. 24.
    M. Beccaria, F.M. Renard, C. Verzegnassi, Nucl. Phys. B 663, 394 (2003). arXiv:hep-ph/0304175 CrossRefADSGoogle Scholar
  25. 25.
    M. Beccaria, M. Melles, F.M. Renard, S. Trimarchi, C. Verzegnassi, Int. J. Mod. Phys. A 18, 5069 (2003). arXiv:hep-ph/0304110 CrossRefADSGoogle Scholar
  26. 26.
    S. Pozzorini, Nucl. Phys. B 692, 135 (2004). arXiv:hep-ph/0401087 MATHCrossRefADSGoogle Scholar
  27. 27.
    B. Feucht, J.H. Kuhn, A.A. Penin, V.A. Smirnov, Phys. Rev. Lett. 93, 101802 (2004). arXiv:hep-ph/0404082 CrossRefADSGoogle Scholar
  28. 28.
    B. Jantzen, J.H. Kuhn, A.A. Penin, V.A. Smirnov, Phys. Rev. D 72, 051301 (2005). Erratum-ibid. D 74, 019901 (2006). arXiv:hep-ph/0504111 CrossRefADSGoogle Scholar
  29. 29.
    B. Jantzen, J.H. Kuhn, A.A. Penin, V.A. Smirnov, Nucl. Phys. B 731, 188 (2005). Erratum-ibid. B 752, 327 (2006). arXiv:hep-ph/0509157 ADSGoogle Scholar
  30. 30.
    B. Jantzen, V.A. Smirnov, Eur. Phys. J. C 47, 671 (2006) arXiv:hep-ph/0603133 CrossRefADSGoogle Scholar
  31. 31.
    J.H. Kuhn, F. Metzler, A.A. Penin, Nucl. Phys. B 795, 277 (2008). Erratum-ibid. 818, 135 (2009). arXiv:0709.4055 [hep-ph] CrossRefADSGoogle Scholar
  32. 32.
    J.Y. Chiu, F. Golf, R. Kelley, A.V. Manohar, Phys. Rev. D 77, 053004 (2008). arXiv:0712.0396 [hep-ph] CrossRefADSGoogle Scholar
  33. 33.
    J.Y. Chiu, R. Kelley, A.V. Manohar, Phys. Rev. D 78, 073006 (2008). arXiv:0806.1240 [hep-ph] CrossRefADSGoogle Scholar
  34. 34.
    J.Y. Chiu, A. Fuhrer, R. Kelley, A.V. Manohar, Phys. Rev. D 80, 094013 (2009). arXiv:0909.0012 [hep-ph] CrossRefADSGoogle Scholar
  35. 35.
    E. Maina, S. Moretti, D.A. Ross, Phys. Lett. B 593, 143 (2004). Erratum-ibid. B 614, 216 (2005). arXiv:hep-ph/0403050 CrossRefADSGoogle Scholar
  36. 36.
    J.H. Kuhn, A. Kulesza, S. Pozzorini, M. Schulze, Phys. Lett. B 609, 277 (2005). arXiv:hep-ph/0408308 CrossRefADSGoogle Scholar
  37. 37.
    J.H. Kuhn, A. Kulesza, S. Pozzorini, M. Schulze, Nucl. Phys. B 727, 368 (2005). arXiv:hep-ph/0507178 CrossRefADSGoogle Scholar
  38. 38.
    J.H. Kuhn, A. Kulesza, S. Pozzorini, M. Schulze, JHEP 0603, 059 (2006). arXiv:hep-ph/0508253 CrossRefADSGoogle Scholar
  39. 39.
    J.H. Kuhn, A. Kulesza, S. Pozzorini, M. Schulze, Phys. Lett. B 651, 160 (2007). arXiv:hep-ph/0703283 CrossRefADSGoogle Scholar
  40. 40.
    J.H. Kuhn, A. Kulesza, S. Pozzorini, M. Schulze, Nucl. Phys. B 797, 27 (2008). arXiv:0708.0476 [hep-ph] CrossRefADSGoogle Scholar
  41. 41.
    W. Hollik, T. Kasprzik, B.A. Kniehl, Nucl. Phys. B 790, 138 (2008). arXiv:0707.2553 [hep-ph] CrossRefADSGoogle Scholar
  42. 42.
    U. Baur, Phys. Rev. D 75, 013005 (2007). arXiv:hep-ph/0611241 CrossRefADSGoogle Scholar
  43. 43.
    M. Ciafaloni, P. Ciafaloni, D. Comelli, Phys. Rev. Lett. 84, 4810 (2000). arXiv:hep-ph/0001142 CrossRefADSGoogle Scholar
  44. 44.
    M. Ciafaloni, P. Ciafaloni, D. Comelli, Nucl. Phys. B 589, 359 (2000). arXiv:hep-ph/0004071 CrossRefADSGoogle Scholar
  45. 45.
    M. Ciafaloni, P. Ciafaloni, D. Comelli, Phys. Lett. B 501, 216 (2001). arXiv:hep-ph/0007096 CrossRefADSGoogle Scholar
  46. 46.
    M. Ciafaloni, P. Ciafaloni, D. Comelli, Phys. Rev. Lett. 87, 211802 (2001). arXiv:hep-ph/0103315 CrossRefADSGoogle Scholar
  47. 47.
    M. Ciafaloni, P. Ciafaloni, D. Comelli, Phys. Rev. Lett. 88, 102001 (2002). arXiv:hep-ph/0111109 CrossRefADSGoogle Scholar
  48. 48.
    T. Kinoshita, J. Math. Phys. 3, 650 (1962) MATHCrossRefADSGoogle Scholar
  49. 49.
    T.D. Lee, M. Nauenberg, Phys. Rev. 133, B1549 (1964) CrossRefMathSciNetADSGoogle Scholar
  50. 50.
    P. Ciafaloni, D. Comelli, JHEP 0511, 022 (2005). arXiv:hep-ph/0505047 CrossRefADSGoogle Scholar
  51. 51.
    P. Ciafaloni, D. Comelli, JHEP 0609, 055 (2006). arXiv:hep-ph/0604070 CrossRefADSGoogle Scholar
  52. 52.
    G. Bell, J.H. Kühn, J. Rittinger, in preparation Google Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  1. 1.Institut für Theoretische TeilchenphysikUniversität KarlsruheKarlsruheGermany
  2. 2.Institute for Theoretical PhysicsUniversity of BernBernSwitzerland

Personalised recommendations