Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions

Abstract

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with $N_f=2+1+1$ dynamical quarks at three values of the lattice spacing ($a\simeq 0.062,0.082,0.089$ fm) with pion masses in the range $M_{\pi }\simeq 210-450$ MeV. The strange and charm quark masses are tuned at their physical values. Neglecting disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: $a_{\mu }^s({\alpha }_{em}^2)=(53.1\pm 2.5)\cdot 10^{-10}$, $a_{\mu }^s({\alpha }_{em}^3)=(-0.018\pm 0.011)\cdot 10^{-10}$ and $a_{\mu }^c({\alpha }_{em}^2)=(14.75\pm 0.56)\cdot 10^{-10}$, $a_{\mu }^c({\alpha }_{em}^3)=(-0.030\pm 0.013)\cdot 10^{-10}$ for the strange and charm contributions, respectively.

34 pages, 10 figures, 5 tables; version to appear in JHEP

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• Strange and charm quark contributions to the anomalous magnetic moment of the muon
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• Pion light-by-light contributions to the muon $g-2$
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Cited by in corpus (16)

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• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Unitarity Bounds for Semileptonic Decays in Lattice QCD
• Constraints for the semileptonic $B\to D^{(\ast )}$ form factors from lattice QCD simulations of two-point correlation functions
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Data-based determination of the isospin-limit light-quark-connected contribution to the anomalous magnetic moment of the muon
• Anomalous magnetic moment of the muon, a hybrid approach
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• Isospin breaking corrections to the HVP at the physical point
• Recent Developments of Muon g-2 from Lattice QCD
• Rotated twisted-mass: a convenient regularization scheme for isospin breaking QCD and QED lattice calculations
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data