First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
Multigrid approach in shifted linear systems for the non-degenerated twisted mass operator
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abstract
Application of multigrid solvers in shifted linear systems is studied. We focus on accelerating the rational approximation needed for simulating single flavor operators. This is particularly useful, in the case of twisted mass fermions for mass non-degenerate quarks and can be employed to accelerate the $N_f=1+1$ sector of $N_f=2+1+1$ twisted mass fermion simulations. The multigrid solver is accelerated by employing suitable initial guesses. We propose a novel strategy for proposing initial guesses for shifted linear systems based on the Lagrangian interpolation of the previous solutions.
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hep-lat 5years
2026 5representative citing papers
First fully dynamical lattice QCD yields Γ(h_c → η_c e⁺e⁻) = 5.45(19) keV (3σ above BESIII) and Γ(χ_c1 → J/ψ e⁺e⁻) = 2.869(90) keV, with continuum-extrapolated results and q² distributions.
Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.
Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.
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First fully dynamical lattice QCD yields Γ(h_c → η_c e⁺e⁻) = 5.45(19) keV (3σ above BESIII) and Γ(χ_c1 → J/ψ e⁺e⁻) = 2.869(90) keV, with continuum-extrapolated results and q² distributions.
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