The ETMC collaboration presents preliminary electro-quenched valence quark-connected isospin-breaking corrections to the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment on two lattice volumes at a single lattice spacing.
Sea quark QED effects and twisted mass fermions
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abstract
We show that maximally twisted mass fermions can be employed to regularize on the lattice the fully unquenched QCD+QED theory with vanishing $\theta$-term. We discuss how the critical mass of the up and down quarks can be conveniently determined beyond the electroquenched approximation by imposing that certain symmetries of continuum QCD+QED, which are broken by Wilson terms, get restored in the continuum limit. A mixed action setup is outlined that allows to extend beyond the electroquenched approximation the computation (with only O($a^2$) artifacts) of the leading isospin breaking corrections to physical observables using the RM123 method and (pure QCD) ETMC gauge ensembles with $N_f=2+1+1$ dynamical quark flavours.
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Valence leading isospin breaking contributions to $a_{\mu}^{\mathrm{HVP-LO}}$
The ETMC collaboration presents preliminary electro-quenched valence quark-connected isospin-breaking corrections to the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment on two lattice volumes at a single lattice spacing.