HVP contributions to the muon (g−2) including QED corrections with twisted-mass fermions

¹ Dip. di Matematica e Fisica, Università di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
² Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
³ Dip. di Fisica, Università di Roma “La Sapienza” and INFN Sezione di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy

^* Speaker, e-mail: simula@roma3.infn.it

Published online: 26 March 2018

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 ≃ 0.062,0.082,0.089 fm) with pion masses in the range M_π ≃ 210 - 450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting discon-nected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: $a_{\mu }^s\left({\alpha }_{em}^2\right)=\left(53.1\pm 2.5\right)\cdot {10}^{-10},a_{\mu }^s\left({\alpha }_{em}^3\right)=\left(-0.018\pm 0.011\right)\cdot {10}^{-10}$ and $a_{\mu }^c\left({\alpha }_{em}^2\right)=\left(14.75\pm 0.56\right)\cdot {10}^{-10},a_{\mu }^c\left({\alpha }_{em}^3\right)=\left(-0.030\pm 0.013\right)\cdot {10}^{-10}$ for the strange and charm contributions, respectively.!