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R(s) and Z decay in order α_s⁴: complete results

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

R(s) and Z decay in order α_s⁴: complete results

classification hep-ph
keywords alphadecaycompleteorderresultssingletz-bosonannihilation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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