Abstract
An improved model independent formula to fit theZ line shape parameters is presented. The accuracy of the QED radiative corrections used in the formula is estimated, as is the absolute accuracy of the formula itself. The precision of the formula is compared with existing fitting formulae, in terms of cross sections produced and in terms of theZ parameters returned from a fit. The errors which the LEP-SLC experiments can expect to achieve on theZ parameters are examined as a function of total integrated luminosity. The formula presented here can fit theZ parameters with high accuracy: below 1 MeV for theZ mass, the order of 1 MeV for total width, and below 0.04% for the hadronic and leptonic peak cross sections. Such biases will remain much below the expected experimental uncertainties from LEP and SLC.
Similar content being viewed by others
References
Z. Physics at LEP I, G. Altarelli et al. (eds.), CERN 89-08, 1989
F.A. Berends: In: Z Physics at LEP I, G. Altarelli et al. (eds.), CERN 89-08, 1989
G. Burgers the FORTRAN program ZAPP, exponentiation as in [14]; see also G. Burgers, CERN-TH.5119/88. and F.A. Berends et al.: Phys. Lett. B203 (1988) 177
Mark-II Collab: Phys. Rev. Lett. 63 (1989) 724; 63 (1989) 2173; L3 Collab.: Phys. Lett. B231 (1989) 509; B237 (1990) 136; ALEPH Collab: Phys. Lett. B231 (1989) 519; B235 (1989) 399; OPAL Collab.: Phys. Lett. B231 (1989) 530; B240 (1990) 512; DELPHI Collab.: Phys. Lett. B231 (1989) 539; B241 (1990) 435
M. Böhm, A. Denner, W. Hollik: Nucl. Phys. B304 (1988) 687
M. Consoli, W. Hollik, F. Jegerlehner: In: Z Physics at LEP I, G. Altarelli et al. (eds.), CERN 89-08, 1989
W.J. Marciano, A. Sirlin: Phys. Rev. Lett. 46 (1981) 163
D.C. Kennedy, B.W. Lynn: SLAC-PUB 4039 (1986); Nucl. Phys. B322 (1989) 1
Private communication, authors of the program ZSHAPE are W. Beenakker, F.A. Berends s. van der Marck. See [2]
Private communication, the program EXPOSTAR, D.C. Kennedy, B.W. Lynn, C.J.-C. Im, R.G. Stuart: Nucl. Phys. B321 (1989) 83
R. Kleiss et al.: In: Z Physics at LEP I, G. Altarelli et al. (eds.), CERN 89-08. 1989
H. Burkhardt, F. Jegerlehner, G. Penso, C. Verzegnassi: Z. Phys. C—Particles and Fields 43 (1989) 497; In ‘Polarisation at LEP’, CERN 88-06 (1988) 145
G. D'Agostini, W. de Boer, G. Gringhammer: Phys. Lett. B229 (1989) 160
F.A. Berends, G. Burgers, W.L. Van Neerven: Nucl. Phys. B297 (1988) 429
V.N. Gribov, L.N. Lipatov: Sov. J. Nucl. Phys. 15 (1972) 438, 675
S. Jadach, J.H. Kühn, R.G. Stuart, Z. Was: Z. Phys. C—Particles and Fields 38 (1988) 609
R.N. Cahn: Phys. Rev. D36 (1987) 2666; The formula is given in [2] as (3.55)
A. Borrelli, M. Consoli, L. Maiani, R. Sisto: Nucl. Phys. B333 (1990) 357
A. Hofmann: Private communication
Author information
Authors and Affiliations
Additional information
Supported by the US Department of Energy, contract DE-AC02-76ER00881
Rights and permissions
About this article
Cite this article
Martinez, M., Garrido, L., Miquel, R. et al. Model independent fitting to theZ line shape. Z. Phys. C - Particles and Fields 49, 645–655 (1991). https://doi.org/10.1007/BF01483581
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01483581