REVIEW 9 cited by
Three-pion contribution to hadronic vacuum polarization
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Three-pion contribution to hadronic vacuum polarization
read the original abstract
We address the contribution of the $3\pi$ channel to hadronic vacuum polarization (HVP) using a dispersive representation of the $e^+e^-\to 3\pi$ amplitude. This channel gives the second-largest individual contribution to the total HVP integral in the anomalous magnetic moment of the muon $(g-2)_\mu$, both to its absolute value and uncertainty. It is largely dominated by the narrow resonances $\omega$ and $\phi$, but not to the extent that the off-peak regions were negligible, so that at the level of accuracy relevant for $(g-2)_\mu$ an analysis of the available data as model independent as possible becomes critical. Here, we provide such an analysis based on a global fit function using analyticity and unitarity of the underlying $\gamma^*\to3\pi$ amplitude and its normalization from a chiral low-energy theorem, which, in particular, allows us to check the internal consistency of the various $e^+e^-\to 3\pi$ data sets. Overall, we obtain $a_\mu^{3\pi}|_{\leq 1.8\,\text{GeV}}=46.2(6)(6)\times 10^{-10}$ as our best estimate for the total $3\pi$ contribution consistent with all (low-energy) constraints from QCD. In combination with a recent dispersive analysis imposing the same constraints on the $2\pi$ channel below $1\,\text{GeV}$, this covers nearly $80\%$ of the total HVP contribution, leading to $a_\mu^\text{HVP}=692.3(3.3)\times 10^{-10}$ when the remainder is taken from the literature, and thus reaffirming the $(g-2)_\mu$ anomaly at the level of at least $3.4\sigma$. As side products, we find for the vacuum-polarization-subtracted masses $M_\omega=782.63(3)(1)\,\text{MeV}$ and $M_\phi=1019.20(2)(1)\,\text{MeV}$, confirming the tension to the $\omega$ mass as extracted from the $2\pi$ channel.
Forward citations
Cited by 9 Pith papers
-
Muon $g$$-$2: correlation-induced uncertainties in precision data combinations
A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.
-
BMW/DMZ calculation of the hadronic vacuum polarisation for the muon magnetic moment
A hybrid lattice-QCD plus e+e- data determination of the hadronic vacuum polarisation gives a Standard Model muon g-2 prediction 0.5σ from experiment, at 0.45% precision.
-
The Muonic Portal to Vector Dark Matter:connecting precision muon physics, cosmology, and colliders
A new model with SU(2)_D symmetry and vector-like muons mediates vector dark matter, simultaneously addressing relic abundance and muon g-2 while identifying an off-resonance suppression mechanism for light DM and der...
-
Dispersive analysis of the $\boldsymbol{J/\psi \to \gamma \pi^0 \pi^0}$ process
The analysis selects the negative E1 phase solution for 0++-2++ amplitudes in J/ψ → γπ⁰π⁰ as consistent with Omnès phases from f0 resonances without large extra phases, and normalizes amplitudes via the branching frac...
-
Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$
Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.
-
The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
-
Global analysis of a minimally extended scotogenic model
Numerical scan of minimally extended scotogenic model constrains fermionic DM to 120-350 GeV and CP-odd scalar to 350-600 GeV while noting DESI BAO data may rule out inverted neutrino hierarchy.
-
Global analysis of a minimally extended scotogenic model
Global analysis constrains fermionic DM to 120-350 GeV and CP-odd scalar to 350-600 GeV in a scotogenic extension, with DESI potentially ruling out inverted neutrino hierarchy and Z invisible width compatible with dat...
-
The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.