Abstract
We present a compact incorporation of the weak loop effects in the Bhabha cross section with the accuracy required by the present precision experiments. Special care is taken of the leading 2-loop effects from a heavy top quark which are of the type α2(m t /M Z )4. We find very satisfactory agreement between two independent calculations which are based on different gauges and different renormalizations. The compact formulation in terms of form factors allows a straight-forward implementation into analytic or Monte Carlo QED calculations.
Similar content being viewed by others
References
M. Consoli: Nucl. Phys. B160 (1979) 268
M. Böhm, A. Denner, W. Hollik, R. Sommer: Phys. Lett. 144B (1984) 414
M. Böhm, A. Denner, W. Hollik: Nucl. Phys. B304 (1988) 687
K. Tobimatsu, Y. Shimizu: Progr. Theor. Phys. 75 (1986) 905; Comp. Phys. Commun. 48 (1988) 335
B.W. Lynn, M.E. Peskin, R.G. Stuart: Physics at LEP, CERN 86-02 (1986) Vol. 1, p. 90
F.A. Berends, K.J.F. Gaemers, R. Gastmans: Nucl. Phys. B68 (1974) 541; M. Consoli, M. Lo Presti, M. Greco: Phys. Lett. 113B (1982) 415; M. Greco: Phys. Lett. 177B (1983) 97; Riv. Nuovo Cimento 11 (1988) 1; F.A. Berends, R. Kleiss: Nucl. Phys. B228 (1983) 357; M. Caffo, R. Gatto, E. Remiddi: Nucl. Phys. B252 (1985) 378; F.A. Berends, R. Kleiss, W. Hollik: Nucl. Phys. B304 (1988) 71
M. Caffo, E. Remiddi: in Z Physics at LEP 1, CERN 89-08 Vol. 1, p. 171 (1989)
G. Altarelli, R. Kleiss, C. Verzegnassi (eds.): Z Physics at LEP 1, CERN 89-08 (1989)
A. Akhundov, D. Bardin, T. Riemann: Nucl. Phys. B276 (1986) 1
F. Jegerlehner: Z. Phys. C—Particles and Fields 32 (1986) 425
W. Beenakker, W. Hollik: Z. Phys. C—Particles and Fields 40 (1988) 141
F.A. Berends et al.: in Z Physics at LEP 1, CERN 89-08 Vol. 1, p. 89 (1989)
M. Böhm, W. Hollik et al.: in Z Physics at LEP 1, CERN 89-08 Vol. 1, p. 203 (1989)
R. Battiston, M. Pauluzzi, L. Servoli, A. Santocchia: Univ. Perugia preprint DFUPG-13/89, subm. to Phys. Lett. B
Transparencies of an informal meeting on phenomenological aspects of Bhabha scattering at LEP, Feb. 1990, org. by H. Burkhardt et al.
D. Bardin, P. Christova, O. Fedorenko: Nucl. Phys. B197 (1982) 1
M. Böhm, W. Hollik, H. Spiesberger: Fortschritte Phys. 34 (1986) 687
W. Hollik: Fortschr. Phys. 38 (1990) 165
D. Bardin et al.: Z. Phys. C—Particles and Fields 44 (1989) 493
M. Consoli, W. Hollik, F. Jegerlehner: Phys. Lett. 227B (1989) 167
J.J. van der Bij, F. Hoogeveen: Nucl. Phys. B283 (1987) 477
M. Consoli, W. Hollik, F. Jegerlehner: in Z Physics at LEP 1, CERN 89-08 Vol. 1, p. 7 (1989)
W. Hollik: lectures at the CERN-JINR School of Physics 1989, Egmond-aan-Zee, Netherlands; CERN-TH 5661/90 (1990)
A. Sirlin: Phys. Rev. D22 (1980) 971
ALEPH Coll., D. Decamp et al.: Phys. Lett. 236B (1989) 399; L3 Coll., B. Adeva et al.: Phys. Lett. 237B (1990) 136; OPAL Coll., M. Akrawy et al.: Phys. Lett. 240B (1990) 497; DELPHI Coll., P. Abreu et al.: CERN-EP/90-32 (1990), subm. to Phys. Letters B
W. Hollik, A. Zepeda: Z. Phys. C—Particles and Fields 12 (1982) 67; R. Gatto et al.: in Z Physics at LEP 1, CERN 89-08, Vol. 2, p. 147 (1989)
Contributions of D. Bardin, T. Riemann, Zeuthen preprint PHE 89-11 (1989) and of W. Hollik, CERN-TH. 5547/89 to Proc. Research Workshop on Radiative Corrections: Results and Perspectives, Univ. of Sussex, Brighton, July 1989, ed. N. Dombey, to appear
S. Sarantakos, A. Sirlin, W. Marciano: Nucl. Phys. B217 (1983) 84
H. Burkhardt, F. Jegerlehner, G. Penso, C. Verzegnassi: Z. Phys. C—Particles and Fields 43 (1989) 497
D. Bardin, C. Burdik, P. Christova, T. Riemann: Z. Phys. C—Particles and Fields 42 (1989) 697
D. Bardin, A. Leike, T. Riemann, M. Sachwitz: Phys. Lett. 206B (1988) 539; T. Riemann, D. Bardin, M. Sachwitz, in: Z. Ajduk et al.: New Theories in Physics, Singapore: World Scientific 1989
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bardin, D., Hollik, W. & Riemann, T. Bhabha scattering with higher order weak loop corrections. Z. Phys. C - Particles and Fields 49, 485–490 (1991). https://doi.org/10.1007/BF01549702
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01549702