1. The role of Pad\'e and D-Log Pad\'e approximants in the context of the MUonE Experiment
- Author
-
P., Camilo Rojas, Boito, Diogo, London, Cristiane Y., and Masjuan, Pere
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Theory - Abstract
In the context of the anomalous magnetic moment of the muon, the hadronic contribution plays a crucial role, especially given its large contribution to the final error. Currently, lattice QCD simulations are in disagreement with dispersive calculations based on $e^+e^-$ hadronic cross sections. The new MUonE experiment intends to shed light on this situation extracting the hadronic contribution to the running of the electromagnetic coupling in the space-like region, $\Delta \alpha_{\rm had}(t)$, from elastic $e\mu$ scattering. Still, due to the limited kinematic range that can be covered by the experiment, a powerful method must be devised to accurately extract the desired hadronic contribution from a new experiment of this type. In this work, we show how Pad\'e and D-Log Pad\'e approximants profiting from the analyticity of the correlator governing the hadronic contribution can be a powerful tool in reaching the required precision., Comment: Contribution to the QNP2024 - The 10th International Conference on Quarks and Nuclear Physics. arXiv admin note: text overlap with arXiv:2405.13638
- Published
- 2024