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A Determination of the Lambda Parameter from Full Lattice QCD

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arxiv hep-ph/0502212 v2 pith:2AY6QUEJ submitted 2005-02-22 hep-ph hep-lat

M. Göckeler , R. Horsley , A.C. Irving , D. Pleiter , P.E.L. Rakow , G. Schierholz , H. Stüben This is my paper
classification hep-phhep-lat
keywords lambdadeterminationflavourslatticeparameteralphaapproximationboson
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a determination of the QCD parameter Lambda in the quenched approximation (n_f=0) and for two flavours (n_f=2) of light dynamical quarks. The calculations are performed on the lattice using O(a) improved Wilson fermions and include taking the continuum limit. We find Lambda_{n_f=0} = 259(1)(20) MeV and Lambda_{n_f=2} = 261(17)(26) MeV}, using r_0 = 0.467 fm to set the scale. Extrapolating our results to five flavours, we obtain for the running coupling constant at the mass of the Z boson alpha_s(m_Z) = 0.112(1)(2). All numbers refer to the MSbar scheme.

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