The role of Padé and D-Log Padé approximants in the context of the MUonE Experiment
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913578898948096 |
|---|---|
| author | P., Camilo Rojas Boito, Diogo London, Cristiane Y. Masjuan, Pere |
| author_facet | P., Camilo Rojas Boito, Diogo London, Cristiane Y. Masjuan, Pere |
| contents | 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, $Δα_{\rm had}(t)$, from elastic $eμ$ 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 Padé and D-Log Padé approximants profiting from the analyticity of the correlator governing the hadronic contribution can be a powerful tool in reaching the required precision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The role of Padé and D-Log Padé approximants in the context of the MUonE Experiment P., Camilo Rojas Boito, Diogo London, Cristiane Y. Masjuan, Pere High Energy Physics - Phenomenology High Energy Physics - Theory 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, $Δα_{\rm had}(t)$, from elastic $eμ$ 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 Padé and D-Log Padé approximants profiting from the analyticity of the correlator governing the hadronic contribution can be a powerful tool in reaching the required precision. |
| title | The role of Padé and D-Log Padé approximants in the context of the MUonE Experiment |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.10379 |