Mearsurement of $α_s$ and the $β$ function with the DELPHI detector at LEP

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Talk presented at the QCD02 conference, Montpellier 2002

Scientific paper

10.1016/S0920-5632(03)01815-2

Event shape distributions in $e^+e^-$ annihilation are determined from the DELPHI data taken between 183 and 207\gev. From these the strong coupling $\alpha_s$ is extracted with several techniques. Together with the results from other LEP2 energies and at about $m_Z$ this allows both, a combined measurement of $\alpha_s$ and a test of the scale dependence of the strong interaction. Alternatively the renormalisation group invariant (RGI) perturbation theory is applied to measure the $\beta$ function of strong interaction. The results are good agreement with the QCD expectation and allow to exclude the existence of light gluinos with a mass below 30\gev in a model independent way.

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