Revisiting the Muon Anomaly from $e^+ e^-\to$ Hadrons
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914102369058816 |
|---|---|
| author | Narison, Stephan |
| author_facet | Narison, Stephan |
| contents | In this talk, I revisit and present a more comprehensive estimate of the lowest order Hadronic Vacuum Polarization (HVP) contribution $a_μ\vert_{hvp}^{lo}$ to the muon anomalous magnetic moment (muon anomaly) from $e^+e^-\to$ Hadrons obtained recently in Ref.[1]. New CMD-3 data on $e^+e^-\to 2π$ [2] and precise BABAR [3] and recent BELLE2 [4] $e^+e^-\to 3π$ data are usedto update the estimate of the $I=0$ isoscalar channel below the $ϕ$-meson mass. Adding the data compiled by PDG22 [5] above 1 GeV and the QCD improved continuum used in Ref. [1], one deduces: $a_μ\vert^{hvp}_{lo}=(7043\pm 37)\times 10^{-11} $.A comparison with previous data driven ($e^+e^-$ and $τ$-decays) estimates is done.Including the Higher Order $a_μ\vert_{hvp}^{ho}$ corrections, the phenomenological estimate of the Hadronic Light by Light scattering up to NLO and the QED and Electroweak (EW) contributions, one obtains: $Δa_μ^{pheno}\equiv a_μ^{exp}-a_μ^{pheno}= (81\pm 41)\times 10^{-11}$ where the recent experimental value $a_μ^{exp}$ [6] has been used. This result consolidates the previous one in Ref.[1], after adding the $π^0γ,ηγ$ contributions, and can be compared with the one from the most precise Lattice result $Δa_μ^{lattice}= (90\pm 56)\times 10^{-11}$. Then, we deduce the (tentative) SM prediction average : $Δa_μ^{SM} = (87\pm 33)\times 10^{-11}$. We complete the paper by revising our predictions on the LO HVP contributions in adding the $π^0γ,ηγ$ contributions to the ones in Ref.[1]. Then, we obtain: $a_τ\vert^{hvp}_{lo}=(3516\pm 25)\times 10^{-11} $ and $Δα^{(5)}_{had}(M_Z^2)=(2770.7\pm 4.5)\times 10^{-5}$ for 5 flavours. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting the Muon Anomaly from $e^+ e^-\to$ Hadrons Narison, Stephan High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice In this talk, I revisit and present a more comprehensive estimate of the lowest order Hadronic Vacuum Polarization (HVP) contribution $a_μ\vert_{hvp}^{lo}$ to the muon anomalous magnetic moment (muon anomaly) from $e^+e^-\to$ Hadrons obtained recently in Ref.[1]. New CMD-3 data on $e^+e^-\to 2π$ [2] and precise BABAR [3] and recent BELLE2 [4] $e^+e^-\to 3π$ data are usedto update the estimate of the $I=0$ isoscalar channel below the $ϕ$-meson mass. Adding the data compiled by PDG22 [5] above 1 GeV and the QCD improved continuum used in Ref. [1], one deduces: $a_μ\vert^{hvp}_{lo}=(7043\pm 37)\times 10^{-11} $.A comparison with previous data driven ($e^+e^-$ and $τ$-decays) estimates is done.Including the Higher Order $a_μ\vert_{hvp}^{ho}$ corrections, the phenomenological estimate of the Hadronic Light by Light scattering up to NLO and the QED and Electroweak (EW) contributions, one obtains: $Δa_μ^{pheno}\equiv a_μ^{exp}-a_μ^{pheno}= (81\pm 41)\times 10^{-11}$ where the recent experimental value $a_μ^{exp}$ [6] has been used. This result consolidates the previous one in Ref.[1], after adding the $π^0γ,ηγ$ contributions, and can be compared with the one from the most precise Lattice result $Δa_μ^{lattice}= (90\pm 56)\times 10^{-11}$. Then, we deduce the (tentative) SM prediction average : $Δa_μ^{SM} = (87\pm 33)\times 10^{-11}$. We complete the paper by revising our predictions on the LO HVP contributions in adding the $π^0γ,ηγ$ contributions to the ones in Ref.[1]. Then, we obtain: $a_τ\vert^{hvp}_{lo}=(3516\pm 25)\times 10^{-11} $ and $Δα^{(5)}_{had}(M_Z^2)=(2770.7\pm 4.5)\times 10^{-5}$ for 5 flavours. |
| title | Revisiting the Muon Anomaly from $e^+ e^-\to$ Hadrons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2507.18239 |