Skip to main content
SpringerLink
Log in

Optimal observables and phase-space ambiguities

  • theoretical physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

Optimal observables are known to lead to minimal statistical errors on parameters for a given normalised event distribution of a physics reaction. Thereby all statistical correlations are taken into account. Therefore, on the one hand they are a useful tool to extract values on a set of parameters from measured data. On the other hand one can calculate the minimal constraints on these parameters achievable by any data-analysis method for the specific reaction. In case the final states can be reconstructed without ambiguities optimal observables have a particularly simple form. We give explicit formulae for the optimal observables for generic reactions in case of ambiguities in the reconstruction of the final state and for general parameterisation of the final-state phase space.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. TESLA Technical Design Report Part I: Executive Summary, edited by F. Richard, J. R. Schneider, D. Trines, A. Wagner, DESY, Hamburg, 2001 [hep-ph/0106314]; TESLA Technical Design Report Part III: Physics at an e + e − Linear Collider, edited by R.-D. Heuer, D. Miller, F. Richard, P. M. Zerwas, DESY, Hamburg, 2001 [hep-ph/0106315]; TESLA Technical Design Report, Part VI, Chap. 1: Photon collider at TESLA, B. Badelek et al. , DESY, Hamburg, 2001 [hep-ex/0108012]

  2. J. R. Ellis, E. Keil, G. Rolandi, Options for Future Colliders at CERN, CERN-EP-98-03; J. P. Delahaye et al. , CLIC--a Two-Beam Multi-TeV e + e − Linear Collider, in Proceedings of the 20th International Linac Conference LINAC 2000, edited by Alexander W. Chao, eConf C000821, MO201 (2000) [physics/0008064]; Physics at the CLIC Multi-TeV Linear Collider: Report of the CLIC Physics Working Group, edited by M. Battaglia et al. , CERN, Geneva, 2004, CERN-2004-005; H. Burkhardt, V. Telnov, CLIC 3-TeV Photon Collider Option, CERN-SL-2002-013-AP

  3. O. Nachtmann, Elementary particle physics: concepts and phenomena (Springer, Berlin 1990)

  4. K. Hagiwara, R. D. Peccei, D. Zeppenfeld, K. Hikasa, Nucl. Phys. B 282, 253 (1987)

    Article  Google Scholar 

  5. M. Diehl, O. Nachtmann, F. Nagel, Eur. Phys. J. C 27, 375 (2003) [hep-ph/0209229]

    Google Scholar 

  6. P. Abreu et al. [DELPHI Collaboration], Phys. Lett. B 459, 382 (1999); M. Acciarri et al. [L3 Collaboration], Phys. Lett. B 467, 171 (1999) [hep-ex/9910008]; G. Abbiendi et al. [OPAL Collaboration], Eur. Phys. J. C 19, 1 (2001) [hep-ex/0009022]

    Google Scholar 

  7. M. Acciarri et al. [L3 Collaboration], Phys. Lett. B 487, 229 (2000) [hep-ex/0007005]; G. Abbiendi et al. [OPAL Collaboration], Eur. Phys. J. C 19, 229 (2001) [hep-ex/0009021]

    Google Scholar 

  8. A. Heister et al. [ALEPH Collaboration], Eur. Phys. J. C 21, 423 (2001) [hep-ex/0104034]

    Google Scholar 

  9. M. Diehl, O. Nachtmann, Z. Phys. C 62, 397 (1994)

    Google Scholar 

  10. M. Diehl, O. Nachtmann, Eur. Phys. J. C 1, 177 (1998) [hep-ph/9702208]

    Google Scholar 

  11. W. Menges, A study of charged current triple gauge couplings at TESLA, LC-PHSM-2001-022

  12. G. Moortgat-Pick, in Proceedings of the APS/DPF/DPB Summer Study on the Future of Particle Physics (Snowmass 2001) edited by R. Davidson, C. Quigg, hep-ph/0202082; K. Mönig, LC-PHSM-2000-059, in 2nd ECFA/DESY Study 1998-2001, p. 1346; R. W. Assmann, F. Zimmermann, Polarization Issues at CLIC, in Proceedings of the APS/DPF/DPB Summer Study on the Future of Particle Physics (Snowmass 2001), edited by R. Davidson and C. Quigg, CERN-SL-2001-064-AP; G. Alexander et al. , SLAC-Proposal-E-166, Stanford, 2003

  13. G. Moortgat-Pick, H. M. Steiner, Eur. Phys. J. direct C 3, 6 (2001) [hep-ph/0106155]; J. Erler et al. , in Proceedings of the APS/DPF/DPB Summer Study on the Future of Particle Physics (Snowmass 2001), edited N. Graf, eConf C010630, E3004 (2001) [hep-ph/0112070]; G. Moortgat-Pick, AIP Conf. Proc. 675, 206 (2003) [hep-ph/0303234]; see also the POWER working group homepage: http://www.ippp.dur.ac.ukgudridpower/, working group report in preparation

    Google Scholar 

  14. M. Diehl, O. Nachtmann, F. Nagel, Eur. Phys. J. C 32, 17 (2003) [hep-ph/0306247]

    Google Scholar 

  15. W. Buchmüller, D. Wyler, Nucl. Phys. B 268, 621 (1986)

    Google Scholar 

  16. O. Nachtmann, F. Nagel, M. Pospischil, Anomalous gauge-boson couplings and the Higgs-boson mass, hep-ph/0404006

  17. D. Atwood, A. Soni, Phys. Rev. D 45, 2405 (1992); M. Davier, L. Duflot, F. Le Diberder, A. Rougé, Phys. Lett. B 306, 411 (1993)

    Google Scholar 

  18. K. Ackerstaff et al. [OPAL Collaboration], Z. Phys. C 74, 403 (1997); N. Wermes, Nucl. Phys. Proc. Suppl. 55C, 313 (1997)

    Google Scholar 

  19. S. Dhamotharan, Untersuchung des Drei-Eichbosonen-Vertex in W-Paarerzeugung bei LEP2, Doctoral thesis, HD-IHEP 99-04, University Heidelberg, 1999

  20. O. Nachtmann, M. Pospischil, F. Nagel, manuscripts in preparation

  21. H. Cramér, Mathematical methods of statistics (Princeton University Press 1958)

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Philosophenweg 16, 69120, Heidelberg, Germany

    O. Nachtmann & F. Nagel

Authors
  1. O. Nachtmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Nagel
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. Nachtmann.

Additional information

Received: 12 January 2005, Published online: 7 March 2005

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nachtmann, O., Nagel, F. Optimal observables and phase-space ambiguities. Eur. Phys. J. C 40, 497–503 (2005). https://doi.org/10.1140/epjc/s2005-02153-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2005-02153-9

Keywords

Search

Navigation