PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
The hadronic contribution to the running of the electromagnetic coupling and electroweak mixing angle
T. San José*, M. Cè, A. Gérardin, G. von Hippel, H.B. Meyer, K. Miura, K. Ottnad, A. Risch, J. Wilhelm and H. Wittig
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Pre-published on: May 16, 2022
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As present and future experiments, on both the energy and precision frontiers, look to identify new physics beyond the Standard Model, we require more precise determinations of fundamental quantities, like the QED and electroweak couplings at various momenta. These can be obtained either entirely from experimental measurements,
or from one such measurement at a particular virtuality combined with
the couplings' virtuality dependence computed within the SM. Thus, a precise, entirely theoretical determination of the running couplings is highly desirable, even more since the preliminary results of the E989 experiment in Fermilab were published.
We give results for the hadronic contribution to the QED running coupling $\alpha(Q^2)$ and weak mixing angle $\sin^2\theta_W(Q^2)$ in the space-like energy region $(0, 7]~\text{GeV}^2$ with a total relative uncertainty of $2\%$ at energies $Q^2 \ll 1~\text{GeV}^2$, and $1\%$ at $Q^2 > 1~\text{GeV}^2$.
DOI: https://doi.org/10.22323/1.396.0423
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