A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$

Abstract

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the $Z$-boson mass. We include newest $e^{+}{e}^{-}\to$ hadrons cross-section data together with a phenomenological fit of the threshold region in the evaluation of the dispersion integrals. The precision in the individual datasets cannot be fully exploited due to discrepancies that lead to additional systematic uncertainty in particular between BABAR and KLOE data in the dominant ${\pi }^{+}{\pi }^{-}$ channel. For the muon $(g-2)/2$, we find for the lowest-order hadronic contribution $(694.0\pm 4.0)\cdot 10^{-10}$. The full Standard Model prediction differs by $3.3\sigma$ from the experimental value. The five-quark hadronic contribution to $\alpha (m_Z^2)$ is evaluated to be $(276.0\pm 1.0)\cdot 10^{-4}$.

arXiv comment13 pages, 9 figures and 2 tables, published version in EPJ-C. arXiv admin note: substantial text overlap with arXiv:1706.09436

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• Gauged $L_e-L_{\mu }-L_{\tau }$ symmetry, fourth generation, neutrino mass and dark matter
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
• Enhanced $B_q\to \ell {\ell }^{\prime }$ and $B\to (K,\pi )\ell {\ell }^{\prime }$ in light of $(g-2{)}_{\mu }$
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• The decomposed photon anomalous dimension in QCD and the $\{\beta \}$-expanded representations for the Adler function
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Flavour anomalies meet flavour symmetry
• $R(K^{(\ast )})$ with vector unparticles
• Muon $g-2$ in a 2HDM assisted by inert scalars: probing at the ILC
• Muon $g-2$ Anomaly from a Massive Spin-2 Particle
• The Radiative Flavor Template at the LHC: Lepton non-universality and g-2
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• Curing tachyonic tree-level syndrome in NMSSM light-singlet scenarios
• Modeling the $R$-ratio and hadronic contributions to $g-2$ with a Treed Gaussian Process
• Sub-GeV $U(1{)}_R$ gauge boson to address the proton radius discrepancy
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• Probing Light Scalars and Vector-like Quarks at the High-Luminosity LHC
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Running of the Electroweak Gauge Couplings from First Principles
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms
• Electroweak input parameters
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach
• Excess of Tau events at SND@LHC, FASER$\nu$ and FASER$\nu$2
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Theory of Muon g-2
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Leptoquarks with Exactly Stable Protons