Speaker
Description
The Adler function is one basic ingredient in the running of the QCD and QED couplings and in the muon g-2 prediction. We perform a comprehensive analysis of the Euclidean Adler function within perturbation theory at $2\,\mathrm{GeVs}$, showing how, using existing results, a consistent and precise description beyond $\mathcal{O}(\alpha_s^2)$ is possible if the study is made in an EFT-based set-up. We then build the corresponding dispersive data-based Euclidean Adler function using the DHMZ e+e- data compilation and finally a lattice-based one using recent results, which are known to be in tension in related observables. We then compare the three precise descriptions, study the phenomenological consequences, including a new method for extracting the value of the strong coupling constant and testing the RGE, and briefly discuss further possible applications. This poster is based on JHEP04(2023)067.
| Collaboration / Activity | QCD and Hadronic Physics |
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