We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. We find $a_\mu^{\rm W} = 235.56(65)(50) \times 10^{-10}$, which is in $3.8\sigma$ tension with the recently published dispersive result of Colangelo et al., $a_\mu^{\rm W} = 229.4(1.4) \times 10^{-10}$, and in agreement with other recent lattice determinations. We also provide a result for the standard short-distance window. The results reported here are unchanged compared to our presentation at the Edinburgh workshop of the g-2 Theory Initiative in 2022.

We compute theKl3 and pion form factors using partially twisted boundary cond itions. The twists are chosen so that the Kl3 form factors are calculated directly at zero momentum trans fer (q2 = 0), removing the need for a q2 interpolation, while the pion form factor is determined at values ofq2 close toq2 = 0. The simulations are performed on an ensemble of the RBC/UK QCD collaboration’s gauge configurations with Domain Wall Ferm ions and the Iwaski gauge action with an inverse lattice spacing of 1.73(3)GeV. Simulating a t a single pion mass of 330 MeV, we find the pion charge radius to be 〈r〉330MeV = 0.354(31) fm2 which, using NLO SU(2) chiral perturbation theory, translates to a value of 〈r2 π 〉 = 0.418(31) fm 2 for a physical pion. For the value of theKl3 form factor, f + Kπ (q 2), determined directly at q2 = 0, we find a value of + Kπ (0) = 0.9742(41) at this particular quark mass, which agrees well with our ear lier result (0.9774(35)) obtained using the standard, indirect method.

We present results for the static interquark potential, light meson and baryon masses, and light pseudoscalar meson decay constants obtained from simulations of domain wall QCD with one dynamical flavour approximating the s quark, and two degenerate dynamical flavours with input bare masses ranging from m(s) to m(s)/4 approximating the u and d quarks. We compare these quantities obtained using the Iwasaki and DBW2 improved gauge actions, and actions with larger rectangle coefficients, on 16(3)x32 lattices. We seek parameter values at which both the chiral symmetry breaking residual mass due to the finite lattice extent in the fifth dimension and the Monte Carlo time history for topological charge are acceptable for this set of quark masses at lattice spacings above 0.1 fm. We find that the Iwasaki gauge action is best, demonstrating the feasibility of using QCDOC to generate ensembles which are good representations of the QCD path integral on lattices of up to 3 fm in spatial extent with lattice spacings in the range 0.09-0.13 fm. Despite large residual masses and a limited number of sea quark-mass values with which to perform chiral extrapolations, our results for light hadronic physics scale and agree with experimental measurements within our statistical uncertainties.