New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment

Abstract

We revisit the isospin-breaking and electromagnetic corrections to the decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$, which allow its use as input in the two-pion contribution to the (leading order) hadronic vacuum polarization part of the muon anomalous magnetic moment. We extend a previous resonance chiral Lagrangian analysis, which included those operators saturating the next-to-leading order chiral low energy constants, by including the contributions of the next subleading terms. As a result, we improve agreement between the two-pion tau decay and $e^{+}{e}^{-}$ data and reduce the discrepancy between experiment and the SM prediction of $a_{\mu }$ (using $\tau$ input).

arXiv comment62 pages, 20 figures, 12 tables. Accepted for publication in PRD. Minor changes and a few references added

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Cited by in corpus (40)

• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• Semileptonic tau decays beyond the Standard Model
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• One-loop determination of $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$ branching ratios and new physics tests
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• On the ${\eta }_1(1855)$, ${\pi }_1(1400)$ and ${\pi }_1(1600)$ as dynamically generated states and their SU(3) partners
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Test of analyticity and unitarity for the pion form-factor data around the $\rho$ resonance
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• Triple-product asymmetry in the radiative two-pion tau decay
• Lepton-pair production in di-pion $\tau$ lepton decays
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Precise Estimate of Charged Higgsino/Wino Decay Rate
• Role of the $\rho (1450)$ in low-energy observables from an analysis in the meson dominance approach
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• Baryonic content of the pion
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• 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
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• CP violation in two-meson Tau decays induced by heavy new physics
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
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• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
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• Electromagnetic corrections in hadronic tau decays
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