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Isospin breaking corrections in $2\pi$ production in tau decays and $e^+e^-$ annihilation: consequences for the muon $g-2$ and CVC tests
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abstract
We revisit the isospin-breaking corrections relating the $e^+e^-$ hadronic cross-section and the tau decay spectral function, focusing on the di-pion channel, that gives the dominant contribution to the hadronic vacuum polarization piece of the muon $g-2$. We test different types of electromagnetic and weak form factors and show that both, the Gounaris-Sakurai and a dispersive-based approach, describe accurately $\tau$ lepton and $e^+e^-$ data (less when KLOE measurements are included in the fits) and comply reasonably well with analyticity constraints. From these results we obtain the isospin-breaking contribution to the conserved vector current (CVC) prediction of the ${\rm BR}(\tau \to \pi\pi\nu_{\tau})$ and to the $2\pi$ hadronic vacuum polarization (HVP) contribution to the muon $g-2$, in agreement with previous determinations and with similar precision. Our results abound in the convenience of using tau data-based results in the updated data-driven prediction of the muon $g-2$ in the Standard Model.
Forward citations
Cited by 8 Pith papers
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Electroweak precision physics via angular distributions in hadronic $\tau$ decays
Angular moments in two-pseudoscalar tau decays give form-factor-independent SM relations that tensor new physics and scalar mass effects can break.
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Pion $\beta$ decay and $\tau\to\pi\pi\nu_\tau$ beyond leading logarithms
Pion β decay and τ→ππν short-distance radiative corrections are matched at NLL accuracy with evanescent-scheme dependence cancelled, giving Δ_RC^{πℓ}=0.03403(11) and a τ-HVP isospin-breaking shift of −0.07(4)×10^-10.
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Radiative return at NLOPS accuracy
First implementation of NLO corrections matched to a parton shower for the radiative processes e+e−→π+π−γ and e+e−→μ+μ−γ, including ISR, FSR and their interference.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.
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Revisit of the electromagnetic correction to $\tau\to\pi\pi\nu_\tau$ and its implication for muon $g-2$ based on $\tau$ data
Including scalar contributions to the omega->pi0 pi0 gamma fit revises G_EM(t); with the new correction, tau data give a_mu^HVP,LO(pi pi) = 516.0e-10 and a 2.7 sigma muon g-2 discrepancy.
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Compatibility between $e^+e^-$ and $\tau$ decay data in the di-pion channel and implications for $a_\mu^\mathrm{SM}$ and CVC tests
Updated isospin-breaking corrections bring tau decay data into agreement with the new CMD-3 e+e- result, supporting a tau-based hadronic vacuum polarization estimate that reduces the muon g-2 tension to 2.7 sigma.
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Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data
Tau data give an independent, lattice-compatible value for the intermediate-window hadronic vacuum polarization, disagreeing with the e+e- data-driven value that drives the muon g-2 tension.
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Radiative corrections to one- and two-meson tau decays for precise new physics tests
Improved radiative corrections bring the pion tau-decay ratio into one-sigma agreement with lepton universality and sharpen CKM-unitarity and non-standard-interaction constraints.
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