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Abstract:

The τ polarisation has been studied with the e⁺e^- → τ⁺τ^- data collected by the DELPHI detector at LEP in 1993, 1994 and 1995 around the Z resonance firstly through the exclusive decay channels evv̄, μvvμ, πv, ρv, and a1v and secondly with an inclusive hadronic analysis which benefits from a higher efficiency and a better systematic precision. The results have been combined with those previously published on 1990 to 1992 DELPHI data, to produce results which reflect the full LEP-1 statistics. The fit of the τ polarisation dependence on the production angle yielded the polarisation parameters Aτ = 0.1359 ± 0.0096 and Ae = 0.1382 ± 0.0116. From these results the ratio of the vector and axial-vector effective couplings v̄τ/āτ = 0.0683 ± 0.0048 and v̄e/āe = 0.0694 ± 0.0058 have been derived, compatible with e-τ universality. With the assumption of lepton universality, the ratio of vector to axial-vector effective couplings for leptons v̄ι/āι = 0.0687 ± 0.0037 was obtained, implying a value of the effective weak mixing angle sin² θ^lepteff= 0.23282 ± 0.00092.

Abstract:

This paper describes a measurement of the Michel parameters, (Formula presented.), and the average (Formula presented.) helicity, (Formula presented.), in τ lepton decays together with the first measurement of the tensor coupling in the weak charged current. The (Formula presented.) pairs were produced at the LEP e⁺e⁻ collider at CERN from 1992 through 1995 in the DELPHI detector. Assuming lepton universalityin the decays of the τ the measured values of the parameters were: (Formula presented.). The strength of the tensor coupling was measured to be κ^Wτ = −0.029 ± 0.036 ± 0.018. The first error is statistical and the second error is systematic in all cases. The results are consistent with the V −A structure of the weak charged current in decays of the τ lepton.

Abstract:

Inclusive distributions of charged particles in hadronic W decays are experimentally investigated using the statistics collected by the DELPHI experiment at LEP during 1997, 1998 and 1999, at centre-of-mass energies from 183 to around 200 GeV. The possible effects of interconnection between the hadronic decays of two Ws are not observed. Measurements of the average multiplicity for charged and identified particles in qq̄ and WW events at centre-of-mass energies from 130 to 200 GeV and in W decays are presented. The results on the average multiplicity of identified particles and on the position ξ* of the maximum of the ξp = -log(2p/√s) distribution are compared with predictions of JETSET and MLLA calculations.

Abstract:

An updated analysis using about 1.5 million events recorded at √s = Mz with the DELPHI detector in 1994 is presented. Eighteen infrared and collinear safe event shape observables are measured as a function of the polar angle of the thrust axis. The data are compared to theoretical calculations in script O(α²s) including the event orientation. A combined fit of αs and of the renormalization scale xμ in script O(α²s) yields an excellent description of the high statistics data. The weighted average from 18 observables including quark mass effects and correlations is αs(M²z) = 0.1174±0.0026. The final result, derived from the jet cone energy fraction, the observable with the smallest theoretical and experimental uncertainty, is αs(M²z) = 0.1180 ± 0.0006(exp.) ± 0.0013(hadr.) ± 0.0008(scale) ± 0.0007(mass). Further studies include an αs determination using theoretical predictions in the next-to-leading log approximation (NLLA), matched NLLA and script O(α²s) predictions as well as theoretically motivated optimized scale setting methods. The influence of higher order contributions was also investigated by using the method of Padé approximants. Average αs values derived from the different approaches are in good agreement.