R(s) and Z decay in order \alpha_s^4: complete results

J. H. K\"uhn; J. Rittinger; K. G. Chetyrkin; P. A. Baikov

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R(s) and Z decay in order \alpha_s^4: complete results

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arxiv 1210.3594 v1 pith:ANHHCI3Z submitted 2012-10-12 hep-ph

P. A. Baikov , K. G. Chetyrkin , J. H. Kühn , J. Rittinger This is my paper · ORCID

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keywords alphadecaycompleteorderresultssingletz-bosonannihilation

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We report on our calculation of the order \alpha_s^4 axial singlet contributions for the decay rates of the Z-boson as well as the vector singlet contribution to the cross section for electron-positron annihilation into hadrons. Together with recently finished O(\alpha_s^4) calculations of the non-signlet corrections [1,2], the new results directly lead us to the first complete O(\alpha_s^4) predictions for the total hadronic decay rate of the Z-boson and the ratio R(s).

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