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 (e.m.) 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.

8 pages, 3 figures, talk delivered at the XXXV Int'l Symposium on Lattice Field Theory (LAT17), Granada (Spain), June 18-24, 2017

References in corpus (9)

• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Finite-Volume QED Corrections to Decay Amplitudes in Lattice QCD
• Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Electromagnetic corrections to leptonic decay rates of charged pseudoscalar mesons: finite-volume effects
• Electromagnetic corrections to the leptonic decay rates of charged pseudoscalar mesons: lattice results

Cited by in corpus (1)

• The anomalous magnetic moment of the muon in the Standard Model