Event Shapes and Power Corrections in e+e- Annihilation

The effects of the hadronisation of partons on the distribution of event shape observables are associated with corrections which are suppressed by reciprocal powers of the energy scale of the process. The correction is determined by one non-calculable parameter \alpha_0 for which an universal value of 0.5 +/- 20% is found from the investigation of the distribution of event shape observables and their mean values measured in e^+e^- annihilation.Comment: 4 pages, LaTeX, 4 .eps-files included, sprocl.sty and wrapfig.sty included, contribution to the Proceedings of the DIS 2000 conference, April 25-30, Liverpool, U.

Determination of alpha_S at 500 GeV from Event Shapes and Jet Rates

The potential of the TESLA linear e+e- collider to determine the strong coupling constant, alpha_S, at 500 GeV is investigated. Experimental complications due to background from W- and Z-pairs, top-production, initial state photon radiation and from beamstrahlung are considered. The hadronic event selection procedures used by the experiments at LEP II are reviewed for the applicability at TESLA. An estimate of the various error contributions to the total uncertainty of an $\alpha_S$ determination is presented. It confirms that hadronisation effects are diminished while the uncertainty from the choice of the renormalisation scale will dominate. Fits of the ln(R)-matched second order (O(alpha_S^2)) and resummed calculation (NLLA) to six observables are used to estimate the error contributions. This yields the expectation of the precision for alpha_S(500 GeV) of +-0.0025.Comment: 10 pages, LaTeX2e, 8 .eps-files include

alpha_S Evolution from 35 GeV to 202 GeV and Flavour Independence

Determinations of the strong coupling constant alpha_S at centre-of-mass energies of 192 through 202 GeV at LEP are presented. The energy evolution of alpha_S is in agreement with the prediction of QCD. The combined investigation of OPAL and JADE data in the energy range of 35 through 189 GeV yields alpha_S(m_Z)=0.1187^{+0.0034}_{-0.0019}. The strenght of the strong coupling is flavour independent if quark mass effects are taken into account.Comment: 5 pages, LaTeX2e, 7 .eps-file included, Moriond.sty included, contribution to the Proceedings of the QCD Moriond conference, March 18-25, Les Arcs, Franc

Predictions for Anomalous tau+ tau- gamma Production at LEP 1

We calculate distributions for tau+ tau- gamma production at LEP 1 taking into account a potentially existing anomalous magnetic moment a_tau of the tau lepton. The existing upper limits for |a_tau| are known from the dependence of the decay Z -> tau+ tau- gamma on (a_tau)^2 and are of the order of (1 - 5)%. We show that such limits are also sensitive to linear terms in a_tau, which are of equal importance at |a_tau| ~ (1 - 2)% and dominate below this value. Contributions from an electric dipole moment d_tau do not interfere with the electromagnetic vertex or with the anomalous magnetic moment. Appropriate formulae are derived.Comment: 13 pages, LaTex, 5 figure

Off-shell W pair production with anomalous couplings: The CC11 process

The differential cross-sections for processes of the type e+ e- to W+ W- to l nu q anti-q are determined with account of background contributions and of anomalous triple gauge boson couplings. Analytic expressions for dsigma/ds1 ds2 dcostheta, where theta is the production angle of the W boson, are numerically integrated with the Fortran package GENTLE. QED corrections are taken into account in the leading logarithmic approximation. The importance of the various contributions is studied for center-of-mass energies of 190 GeV, 500 GeV, and 1 TeV.Comment: 26 pages, Latex, 6 figures, 2 tables, uses feynmp and epsf styles; tables numerically updated, 5 references added, few typos corrected, version to be published in EPJ

Combined QCD analysis of e^+ e^- data at sqrt(s) = 14 to 172 GeV

A study of the energy dependence of event shape observables is presented. The strong coupling constant \alpha_s has been determined from the mean values of six event shape observables. Power corrections, employed for the measurement of \alpha_s, have been found to approximately account for hadronisation effects.Comment: 6 pages, uses espcrc2.sty (included) and epsfig.sty, LaTeX, 8 .eps-file

Tests of Power Corrections to Event Shape Distributions from e+e- Annihilation

A study of differential event shape distributions using e+e- data at centre-of-mass energies of 35 to 183 GeV is presented. We investigated non-perturbative power corrections for the thrust, C-parameter, total and wide jet broadening observables. We observe a good description of the distributions by the combined resummed QCD calculations plus power corrections from the dispersive approach. The single non-perturbative parameter \alpha_0 is measured to be \alpha_0 (2 GeV) = 0.502 +- 0.013 (stat.) ^{+0.046)_{-0.032} (exp. syst.) ^{+0.074}_{-0.053} (theo. syst.) and is found to be universal for the observables studied within the given systematic uncertainties. Using revised calculations of the power corrections for the jet broadening variables, improved consistency of the individual fit results is obtained. Agreement is also found with results extracted from the mean values of event shape distributions.Comment: 19 pages, LaTeX2e, 8 .eps-files included, paper contributed to the EPS-HEP99 conference in Tampere, Finlan

Tests of Power Corrections for Event Shapes in e+e- Annihilation

A study of perturbative QCD calculations combined with power corrections to model hadronisation effects is presented. The QCD predictions are fitted to differential distributions and mean values of event shape observables measured in e+e- annihilation at centre-of-mass energies from 14 to 189 GeV. We investigate the event shape observables thrust, heavy jet mass, C-parameter, total and wide jet broadening and differential 2-jet rate and observe a good description of the data by the QCD predictions. The strong coupling constant alpha_S(M_Z) and the free parameter of the power correction calculations alpha_0(2 GeV) are measured to be alpha_S(M_Z) = 0.1171 +/- 0.0032/0.0020 and alpha_0(2 GeV) = 0.513 +/- 0.066/0.045. The predicted universality of alpha_0 is confirmed within the uncertainties of the measurements.Comment: 28 pages, LaTeX2e, 21 .eps-files included, accepted by Eur. Phys. J.