%0 Generic %1 Bodenstein2012Hadronic %A Bodenstein, S. %A Dominguez, C. A. %A Schilcher, K. %A Spiesberger, H. %D 2012 %K qed %T Hadronic contribution to the QED running coupling \$\alpha(M\_Z^2)\$ %U http://arxiv.org/abs/1209.4802 %X We introduce a model independent method for the determination of the hadronic contribution to the QED running coupling, \$\Delta\alpha\_HAD(M\_Z^2)\$, requiring no \$e^+e^-\$ annihilation data as input. This is achieved by calculating the heavy-quark contributions entirely in perturbative QCD, whilst the light-quark resonance piece is determined using available lattice QCD results. Future reduction in the current uncertainties in the latter shall turn this method into a valuable alternative to the standard approach. Subsequently, we find that the precision of current determinations of \$\Delta\alpha\_HAD(M\_Z^2)\$ can be improved by some 20\% by computing the heavy-quark pieces in PQCD, whilst using \$e^+e^-\$ data only for the low-energy light-quark sector. We obtain in this case \$\Delta\alpha\_HAD(M\_Z^2)=275.7(0.8) 10^-4\$, which currently is the most precise value of \$\Delta\alpha\_HAD(M\_Z^2)\$.

@misc{Bodenstein2012Hadronic, abstract = {We introduce a model independent method for the determination of the hadronic contribution to the QED running coupling, \$\Delta\alpha\_{\text{HAD}}(M\_{Z}^{2})\$, requiring no \$e^+e^-\$ annihilation data as input. This is achieved by calculating the heavy-quark contributions entirely in perturbative QCD, whilst the light-quark resonance piece is determined using available lattice QCD results. Future reduction in the current uncertainties in the latter shall turn this method into a valuable alternative to the standard approach. Subsequently, we find that the precision of current determinations of \$\Delta\alpha\_{\text{HAD}}(M\_{Z}^{2})\$ can be improved by some 20\% by computing the heavy-quark pieces in PQCD, whilst using \$e^+e^-\$ data only for the low-energy light-quark sector. We obtain in this case \$\Delta\alpha\_{\text{HAD}}(M\_{Z}^{2})=275.7(0.8) \times 10^{-4}\$, which currently is the most precise value of \$\Delta\alpha\_{\text{HAD}}(M\_{Z}^{2})\$.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Bodenstein, S. and Dominguez, C. A. and Schilcher, K. and Spiesberger, H.}, biburl = {https://www.bibsonomy.org/bibtex/221310532285d4d538b0df2ccecbae35f/cmcneile}, citeulike-article-id = {11298664}, citeulike-linkout-0 = {http://arxiv.org/abs/1209.4802}, citeulike-linkout-1 = {http://arxiv.org/pdf/1209.4802}, day = 25, eprint = {1209.4802}, interhash = {fd358c7ca9d9b654fc20c45d18267c74}, intrahash = {21310532285d4d538b0df2ccecbae35f}, keywords = {qed}, month = oct, posted-at = {2012-09-24 08:56:45}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {Hadronic contribution to the QED running coupling \$\alpha(M\_{Z}^2)\$}, url = {http://arxiv.org/abs/1209.4802}, year = 2012 }