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.
Chirally improving Wilson fermions - I. O(a) improvement
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abstract
We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized with Wilson terms of opposite sign. Improved hadronic masses and matrix elements can be obtained by similarly averaging the corresponding physical quantities separately computed within the two regularizations. To deal with the problems related to the spectrum of the Wilson--Dirac operator, which are particularly worrisome when Wilson and mass terms are such as to give contributions of opposite sign to the real part of the eigenvalues, we propose to use twisted-mass lattice QCD for the actual computation of the quantities taking part to the averages. The choice $\pm \pi/2$ for the twisting angle is particularly interesting, as O($a$) improved estimates of physical quantities can be obtained even without averaging data from lattice formulations with opposite Wilson terms. In all cases little or no extra computing power is necessary, compared to simulations with standard Wilson fermions or twisted-mass lattice QCD.
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UNVERDICTED 4representative 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 yields the scalar and tensor form factors for Λ→pℓν̄ℓ as functions of q², providing a model-independent input to constrain non-standard charged-current interactions via the predicted R^{μe} ratio compared to experiment.
Twisted mass fermions in the Hamiltonian two-flavor Schwinger model yield O(a) improvement and milder finite-volume effects once mass renormalization tunes the system to maximal twist.
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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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