RC C R * collaborationWe present preliminary results for the determination of the leading strange and charm quarkconnected contributions to the hadronic vacuum polarization contribution to the muon's 𝑔 − 2. Measurements are performed on the RC ★ collaboration's QCD ensembles, with 3 + 1 flavors of 𝑂 (𝑎) improved Wilson fermions and C ★ boundary conditions. The HVP is computed on a single value of the lattice spacing and two lattice volumes at unphysical pion mass. In addition, we compare the signal-to-noise ratio for different lattice discretizations of the vector current.

We give an update on the ongoing effort of the RC ★ collaboration to generate fully dynamical QCD+QED ensembles with C ★ boundary conditions using the openQ ★ D code. The simulations were tuned to the U-symmetric point (𝑚 𝑑 = 𝑚 𝑠 ) with pions at 𝑚 𝜋 ± ≈ 400 MeV. The splitting of the light mesons is used as one of three tuning observables and fixed to 𝑚 𝐾 0 − 𝑚 𝐾 ± ≈ 5 MeV and 𝑚 𝐾 0 − 𝑚 𝐾 ± ≈ 25 MeV on ensembles with renormalized electromagnetic coupling 𝛼 R ≈ 𝛼 phys and 𝛼 𝑅 ≈ 5.5𝛼 𝑝ℎ𝑦𝑠 respectively. The tuning of the three independent quark masses to the desired lines of constant physics is particularly challenging. We will define the chosen hadronic renormalization scheme, and we will present a tuning strategy based on a combination of mass reweighting and linear interpolation to explore the parameter space. We will comment on finite-volume effects comparing meson masses on two different volumes with 𝑚 𝜋 ± 𝐿 ≈ 3.2 and 𝑚 𝜋 ± 𝐿 ≈ 5.1. We will also provide some technical details on our updated strategy to calculate the sign of the fermionic Pfaffian, which arises in presence of C ★ boundary conditions in place of the standard fermionic determinant. More technical details on the generation of the configurations can be found in J. Lücke's proceedingsThe 39th International Symposium on Lattice Field Theory (Lattice2022),

RC C R * collaborationWe give an update on the ongoing effort of the RC ★ collaboration to generate fully dynamical QCD+QED configurations with C ★ boundary conditions using the openQ ★ D code. The simulations are tuned to the U-symmetric point (𝑚 𝑑 = 𝑚 𝑠 ) with pions at 𝑚 𝜋 ± ≈ 400 MeV. The splitting of the light mesons is used as one of three tuning observables and fixed to 𝑚 𝐾 0 − 𝑚 𝐾 ± ≈ 5 MeV and 𝑚 𝐾 0 − 𝑚 𝐾 ± ≈ 25 MeV on ensembles with renormalized electromagnetic coupling 𝛼 R ≈ 𝛼 phys. and 𝛼 R ≈ 5.5𝛼 phys. respectively. We will discuss some details concerning our tuning strategy and present the calculation of the meson and baryon masses. Finally, we will also present a cost analysis for our simulations. More technical details on finite-volume effects and the tuning can be found in A. Cotellucci's proceedings [1].

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We present a progress report on the calculation of the connected hadronic contribution to the muon 𝑔 − 2 with C ★ boundary conditions. For that purpose we use a QCD gauge ensemble with 3+1 flavors and two QCD+QED gauge ensembles with 1+2+1 flavors of dynamical quarks generated by the RC ★ collaboration. We detail the calculation of the vector mass and elaborate on both statistical and systematic errors.