Skip to main content
Log in

Electroweak interactions and high-energy limit

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

An introduction to the equivalence theorem for longitudinally polarized vector bosons and unphysical Goldstone scalars in electroweak theories is presented and the problem of high-energy behaviour of scattering amplitudes in the Standard Model is briefly reviewed. The equivalence theorem is first illustrated on simple examples, and the idea of a general proof based on the concept of BRS symmetry is then explained. To make the treatment self-contained, basics of the Standard Model are summarized in the appendix.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gell-Mann M. et al.: Phys. Rev. 179 (1969) 1518.

    Google Scholar 

  2. Weinberg S.: Phys. Rev. Lett. 27 (1971) 1688.

    Google Scholar 

  3. Cornwall J.M., Levin D.N., and Tiktopoulos G.: Phys. Rev. D 10 (1974) 1145.

    Google Scholar 

  4. Bell J.S.: Nucl. Phys. B 60 (1973) 427.

    Google Scholar 

  5. Llewellyn Smith C.H.: Phys. Lett. B 46 (1973) 233.

    Google Scholar 

  6. Joglekar S.D.: Ann. Phys. (NY) 83 (1974) 427.

    Google Scholar 

  7. Hořejší J.: Introduction to Electroweak Unification: Standard Model from Tree Unitarity, World Scientific, Singapore, 1994.

    Google Scholar 

  8. Vayonakis C.E.: Lett. Nuovo Cimento 17 (1976) 383.

    Google Scholar 

  9. Lee B.W., Quigg C., and Thacker H.: Phys. Rev. D 16 (1917) 1519.

    Google Scholar 

  10. Chanowitz M.S., Gaillard M.K.: Nucl. Phys. B 261 (1985) 379.

    Google Scholar 

  11. Gounaris G.J., Kögerler R., and Neufeld H.: Phys. Rev. D 34 (1986) 3257.

    Google Scholar 

  12. Yao Y.-P. and Yuan C.-P.: Phys. Rev. D 38 (1988) 2237.

    Google Scholar 

  13. Bagger J. and Schmidt C.:, Phys. Rev. D 41 (1990) 264.

    Google Scholar 

  14. Kilgore W.B.: Phys. Lett. B 294 (1992) 257.

    Google Scholar 

  15. He H.-J., Kuang Y.-P., and Li X: Phys. Rev. Lett. 69 (1992) 2619; Phys. Rev. D 49 (1994) 4842; Phys. Lett. B 329 (1994) 278.

    Google Scholar 

  16. Grosse-Knetter C., and Kuss I.: Z. Phys. C 66 (1995) 95.

    Google Scholar 

  17. Grosse-Knetter C.: Z. Phys. C 67 (1995) 261.

    Google Scholar 

  18. He H.-J., Kuang Y.-P. Kuang, and Yuan C.-P.: Phys. Rev. D 51 (1995) 6463; preprint DESY-96-029 (hep-ph/9509278).

    Google Scholar 

  19. Espriu D. and Matias J.: Phys. Rev. D 52 (1995) 6530.

    Google Scholar 

  20. Willenbrock S.D.: Ann. Phys. (NY) 186 (1988) 15. Soper D., Kunszt Z.: Nucl. Phys. B 296 (1988) 253. Casalbuoni R. et al., Phys. Rev. D 39 (1989) 2281. Valencia G. and Willenbrock S.D.: Phys. Rev. D 42 (1990) 853. Veltman H.: Phys. Rev. D 41 (1990) 2294. Willey R.S.: Phys. Rev. D 44 (1991) 3646. Donoghue J.F., Tandean J.: Phys. Lett. B 301 (1993) 372. Kilgore W.: Phys. Lett. B 323 (1994) 161. Pal P.B.: Phys. Lett. B 321 (1994) 229. Dutta B., Nandi S.: Mod. Phys. Lett. A 9 (1994) 1025. Dobado A. and Pelaez J.R.: Phys. Lett. B 329 (1994) 469. He H.-J. and Kilgore W.: Phys. Rev. D 55 (1997) 1515. He H.-J., Kuang Y.-P., and Yuan C.-P.: Phys. Rev. D 55 (1997) 3038.

    Google Scholar 

  21. Peskin M.: SLAC-PUB-4601, 1988; Proc. SLAC Summer Institute, 1988.

  22. Donoghue J.F. et al.: Dynamics of Standard Model, Cambridge University Press, Cambridge, 1992.

    Google Scholar 

  23. 't Hooft G.: Nucl. Phys. B 35 (1971) 167.

    Google Scholar 

  24. Fujikawa K., Lee B.W., and Sanda A.I.: Phys. Rev. D 6 (1972) 2923.

    Google Scholar 

  25. Bailin D. and Love A.: Introduction to Gauge Field Theory, Institute of Physics, Bristol, 1993.

    Google Scholar 

  26. Ta-Pei Cheng, Ling-Fong Li: Gauge Theory of Elementary Particle Physics, Clarendon Press, Oxford, 1984.

    Google Scholar 

  27. Ryder L.H.: Quantum Field Theory, Cambridge University Press, Cambridge, 1985.

    Google Scholar 

  28. Becchi C., Rouet A., and Stora R.: Comm. Math. Phys. 42 (1975) 127; Ann. Phys. (NY) 98 (1976) 287.

    Google Scholar 

  29. Tyutin I.V.: Preprint FIAN No. 39, 1975 (unpublished).

  30. Baulieu L.: Phys. Rep. 129 (1985) 1.

    Google Scholar 

  31. Kugo T. and Ojima I.: Phys. Lett. B 73 (1978) 459.

    Google Scholar 

  32. Kugo T. and Ojima I.: Suppl. Prog. Theor. Phys. 66 (1979) 1.

    Google Scholar 

  33. Nakanishi N. and Ojima I.: Covariant Operator Formalism of Gauge Theories and Quantum Gravity, World Scientific, Singapore, 1990.

    Google Scholar 

  34. Lee B.W. and Zinn-Justin J.: Phys. Rev. D 5 (1972) 3155.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hořejší, J. Electroweak interactions and high-energy limit. Czechoslovak Journal of Physics 47, 951–977 (1997). https://doi.org/10.1023/A:1021177005216

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021177005216

Keywords

Navigation