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.
Mesonic low-energy constants
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). Special emphasis is put on the chiral $SU(2)$ and $SU(3)$ Lagrangians for the strong interactions of light mesons. The theoretical and experimental input for determining the corresponding LECs is discussed. In the two-flavour sector, we review the knowledge of the $O(p^4)$ LECs from both continuum fits and lattice QCD analyses. For chiral $SU(3)$, NNLO effects play a much bigger role. Our main new results are fits of the LECs $L_i$ both at NLO and NNLO, making extensive use of the available knowledge of NNLO LECs. We compare our results with available lattice determinations. Resonance saturation of LECs and the convergence of chiral $SU(3)$ to NNLO are discussed. We also review the status of predictions for the LECs of chiral Lagrangians with dynamical photons and leptons.
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UNVERDICTED 5representative citing papers
Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.
Sub-GeV dark matter that interacts hadronically is ruled out for nucleon scattering cross sections above 10^{-36} cm² across the keV to 100 MeV mass range by combined cosmological and particle-decay constraints.
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.
citing papers explorer
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Complete lattice QCD calculation of $K^{-}\to \ell^{-}\bar{\nu}_{\ell}\ell^{'+}\ell^{'-}$ form factors
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.
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Hyperon non-leptonic decays in relativistic Chiral Perturbation Theory with resonances
Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.
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Irreducible Constraints on Hadronically Interacting Sub-GeV Dark Matter
Sub-GeV dark matter that interacts hadronically is ruled out for nucleon scattering cross sections above 10^{-36} cm² across the keV to 100 MeV mass range by combined cosmological and particle-decay constraints.
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Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
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Study of $\eta^\prime \to \eta \pi\pi $ Decays in Large-$N_C$ Chiral Perturbation Theory
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.