Summary
We show how to use the results of first-order (one-loop) perturbation theory to build a nonperturbative description of realistic high-energy Bhabha scattering, for a wide range of experimental cuts and both large and small scattering angles, with 1% estimated precision. Correspondingly, an event generator BHA-GEN is implemented. The resulting values of the cross-section are compared with those of the other programs existing in the literature, which are also mainly based on the same one-loop results. The agreement, after accounting the different kinematical cuts, is in general within 1%. We stress that, to improve the theoretical accuracy, a complete understanding of the different implementations of the nonperturbative effects based on one-loop corrections is necessary; we also emphasize that a correct definition of the events is an essential point of the accurate description of the process, accounting by itself for a few per cent difference. Only after settling those problems one can meaningfully consider the two-loop corrections, which are anyhow needed to push the theoretical precision below the 1% level.
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References
M. Caffo, E. Remiddi andF. Semeria: Z0 Physics at LEP 1, edited byG. Altarelli, R. Kleiss andG. Verzegnassi, CERN 89-08, Vol.1, 171 (1989).
M. Greco:Phys. Lett. B,177, 97, (1983);Riv. Nuovo Cimento,11, 1 (1988).
M. Böhm, A. Denner andW. Hollik:Nucl. Phys. B,304, 687 (1988); appendix in preprint DESY 86-165 (1986).
R. Kleiss et al.: Z0 Physics at LEP 1, edited byG. Altarelli, R. Kleiss andG. Verzegnassi, CERN 89-08, Vol.3, 1 (1989);H. Burkhardt, F. Jegerlehner, G. Penso, C. Verzegnassi:Z. Phys. C,43, 497 (1989).
F. A. Berends, R. Kleiss andW. Hollik:Nucl. Phys. B,304, 712 (1988).
E. A. Kuraev andV. S. Fadin:Sov. J. Nucl. Phys.,41, 466 (1985);G. Altarelli andG. Martinelli:Physics at LEP, CERN 86-02, Vol.1 (1986), p. 47;O. Nicrosini andL. Trentadue:Phys. lett. B,196, 551 (1987);Z. Phys. C,39, 479 (1988).
F. A. Berends, W. L. van Neerven andG. J. H. Burgers:Nucl. Phys. B,297, 429 (1988);Erratum,304, 921 (1988).
M. Caffo, R. Gatto andE. Remiddi:Nucl. Phys. B,252, 378 (1985).
W. Beenakker, F. A. Berends andS. C. van der Marck:Nucl. Phys. B,349, 323 (1991).
F. Aversa, M. Greco, G. Montagna andO. Nicrosini:Phys. Lett. B,247, 93 (1990);F. Aversa andM. Greco: preprint LNF-91 (August 1991).
W. Beenakker, F. A. Berends andS. C. van der Marck: preprint Instituut-Lorentz, University of Leiden, November 1990.
S. Jadach andB. F. L. Ward:Phys. Rev. D,40, 3582 (1989).
S. Jadach, E. Richter-Was, Z. Was andB. F. L. Ward: preprint CERN-TH.5995/91 (February 1991); preprint CERN-TH.6118/91 (June 1991).
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Due to the relevance of its scientific content, this paper has been given priority by the Journal Direction.
Work supported in part by Polish Ministry of National Education.
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Caffo, M., Czyz, H. & Remiddi, E. Bhabha scattering at high energy. Nuov Cim A 105, 277–291 (1992). https://doi.org/10.1007/BF02826033
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DOI: https://doi.org/10.1007/BF02826033