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We present results for the leptonic decay constants of the D and Ds mesons from Nf = 2 + 1 lattice QCD. We employ a set of 49 high statistics gauge ensembles generated by the Coordinated Lattice Simulations (CLS) effort utilising non-perturbatively improved Wilson fermions and the tree-level Symanzik improved gauge action at six values of the lattice spacing in the range a = 0.098 fm down to a = 0.039 fm, with pion masses varying from around 420 MeV down to below the physical point. The ensembles lie on three trajectories in the quark mass plane, two trajectories intersecting close to the physical quark mass point and the third one approaching the SU(3) chiral limit, enabling tight control of the light and strange quark mass dependence. We obtain $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s = 246.8(1.3) MeV, fD = 208.4(1.5) MeV and $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s /fD = 1.1842(36), where the precision of our results is mostly limited by the determination of the scale.
We present results for the leptonic decay constants of the D and Ds mesons from Nf = 2 + 1 lattice QCD. We employ a set of 49 high statistics gauge ensembles generated by the Coordinated Lattice Simulations (CLS) effort utilising non-perturbatively improved Wilson fermions and the tree-level Symanzik improved gauge action at six values of the lattice spacing in the range a = 0.098 fm down to a = 0.039 fm, with pion masses varying from around 420 MeV down to below the physical point. The ensembles lie on three trajectories in the quark mass plane, two trajectories intersecting close to the physical quark mass point and the third one approaching the SU(3) chiral limit, enabling tight control of the light and strange quark mass dependence. We obtain $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s = 246.8(1.3) MeV, fD = 208.4(1.5) MeV and $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s /fD = 1.1842(36), where the precision of our results is mostly limited by the determination of the scale.
We present an update of our determination of the isovector charges gAu−d, gSu−d and gTu−d, and the isovector twist-2 forward matrix elements ⟨x⟩u−d, ⟨x⟩Δu−Δd and ⟨x⟩δu−δd on the Nf=2+1 gauge ensembles generated by the Coordinated Lattice Simulations (CLS) effort. We have significantly extended our coverage of the parameter space by adding ensembles at the physical pion mass and fine lattice spacing, at nearly physical pion masses and very fine lattice spacings, and at very large physical lattice volumes, enabling a well-controlled extrapolation to the physical point. Another major improvement is achieved owing to the extended range of source-sink separations, which allows us to perform two-state fits to summed correlator ratios, leading to a much higher level of control over excited-state effects. Systematic uncertainties from the chiral, continuum and infinite-volume extrapolations are incorporated via model averages based on the Akaike information criterion. Our final results at the physical point are gAu−d=1.254(19)stat(15)sys[24]total, gSu−d=1.203(77)stat(81)sys[112]total, gTu−d=0.993(15)stat(05)sys[16]total, ⟨x⟩u−d=0.153(15)stat(10)sys[17]total, ⟨x⟩Δu−Δd=0.207(15)stat(06)sys[16]total, and ⟨x⟩δu−δd=0.195(17)stat(15)sys[23]total. While our results for the isovector charges are in excellent agreement with the FLAG 21 averages, we note that our error for the tensor charge gTu−d is considerably smaller. Published by the American Physical Society 2024
There is a long-standing discrepancy between different measurements of the electric and magnetic radii of the proton. Lattice QCD calculations are a well-suited tool for theoretical investigations of the structure of the nucleon from first principles. However, all previous lattice studies of the proton’s electromagnetic radii have either neglected quark-disconnected contributions or were not extrapolated to the continuum and infinite-volume limit. Here, we present results for the electromagnetic form factors of the proton and neutron computed on the (2+1)-flavor coordinated lattice simulations (CLS) ensembles including both quark-connected and -disconnected contributions. From simultaneous fits to the Q2-, pion-mass, lattice-spacing, and finite-volume dependence of the form factors, we determine the electric and magnetic radii and the magnetic moments of the proton and neutron. For the proton, we obtain as our final values ⟨rE2⟩p=(0.672±0.014(stat)±0.018(syst)) fm2, ⟨rM2⟩p=(0.658±0.012(stat)±0.008(syst)) fm2, and μMp=(2.739±0.063(stat)±0.018(syst). The magnetic moment is in good agreement with the experimental value, as is the one of the neutron. On the one hand, our result for the electric (charge) radius of the proton clearly points towards a small value, as favored by muonic hydrogen spectroscopy and the recent ep-scattering experiment by PRad. Our estimate for the magnetic radius, on the other hand, is well compatible with that inferred from the A1 ep-scattering experiment. Published by the American Physical Society 2024
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