HVP contribution of the light quarks to the muon $(g-2)$ including isospin-breaking corrections with Twisted-Mass fermions

Abstract

We present a preliminary lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the Hadronic Vacuum Polarization (HVP) contribution of the light quarks to the anomalous magnetic moment of the muon. The results are obtained in the quenched-$QED$ approximation using the $QCD$ 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 varying from $0.089$ to $0.062 ~ \mbox{fm}$, at several lattice volumes and with pion masses in the range $M_π\simeq 220 ÷490 ~ \mbox{MeV}$.

7 pages, 1 figure. Talk given at the XXXVI Annual International Symposium on Lattice Field Theory (LATTICE18), East Lansing, Michigan (USA), 22-28 July 2018