The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD

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

“…For the quark-disconnected contribution we adopt the additional long-distance error discussed in Ref. [29] (L) and for the charm contribution we propagate uncertainties from the global fit procedure [22] (M). Systematic errors of the R-ratio computation are taken from Ref.…”

“…We compute Π(q 2 ) using the kernel function of Refs. [11,12] Π(q 2 ) − Π(q 2 = 0) = t cos(qt) − 1 q 2 + 1 2 t 2 C(t) (3) arXiv:1801.07224v1 [hep-lat] 22 Jan 2018 with C(t) = 1 3 x j=0,1,2 J j ( x, t)J j (0) . With appropriate definition of w t , we can therefore write a µ = t w t C(t) .…”

“…We insert the photon-quark vertices perturbatively with photons coupled to local lattice vector currents multiplied by the renormalization factor Z V [17]. We use Z A ≈ Z V for the charm [22] and QED corrections. The SIB correction is computed by inserting scalar operators in the respective quark lines.…”

Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

“…This gauge ensemble has been generated by the RBC/UKQCD collaboration using the Iwasaki gauge action [41,42]. The inverse lattice spacing of this ensemble has been determined without QED as a −1 = 1.78 GeV [43]. The bare sea quark masses are am l = 0.005 and am s = 0.04 for light and strange quarks, respectively.…”

Charm decays

“…The averaged results from experiments and LQCD calculations are compatible at 2σ with competing but smaller uncertainties from the LQCD calculations. In addition, recent results from N f = 2 + 1 and N f = 2 + 1 + 1 calculations with individual uncertainties similar to the 2016 averaged ones are provided by RBC/UKQCD [7] and Fermilab Lattice/MILC [8], respectively. While lattice calculations need to include QED effects non-perturbatively in the future, also more precise experimental measurements are needed for further comparisons.…”