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 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 disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: a s µ (α 2 em ) = (53.1 ± 2.5) · 10 −10 , a s µ (α 3 em ) = (−0.018 ± 0.011) · 10 −10 and a c µ (α 2 em ) = (14.75 ± 0.56) · 10 −10 , a c µ (α 3 em ) = (−0.030 ± 0.013) · 10 −10 for the strange and charm contributions, respectively.

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

“…Accurate lattice QCD results for the separate s-, c-and (negligible) b-quark connected contributions to a HVP,LO µ were first obtained in Refs [16][17][18]. Subsequent lattice QCD calculations [14,[19][20][21] using different methods and quark formulations are in excellent agreement with these results.…”

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment

“…We believe that this additional data may facilitate cross-checks between different lattice collaborations in particular also with regard to the up and down quark connected contribution in the isospin limit. [42], Mainz 2017 [43], BMW 2017 [39], ETMC 2017 [45], RBC/UKQCD 2015 [29], and FNAL/HPQCD/MILC 2017 [46]. The innermost error-bar corresponds to the statistical uncertainty.…”

Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions

“…First efforts in this direction date back over two decades [2], and interest in this field has picked up considerably over the last few years. First results are now available, in particular, for spectral quantities [3][4][5][6][7][8][9][10][11][12][13][14][15][16], and progress is being made in matrix elements and scattering and decay amplitudes [17][18][19][20][21][22][23][24].…”