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Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
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abstract
We present a lattice QCD calculation of the axial $\gamma W$-box diagrams relevant for the kaon semileptonic decays. We utilize a recently proposed method, which connects the electroweak radiative corrections in Sirlin's representation to that in chiral perturbation theory. It allows us to use the axial $\gamma W$-box correction in the SU(3) limit to obtain the low energy constants for chiral perturbation theory. From first principles our results confirm the previously used low energy constants provided by the minimal resonance model with a significant reduction in uncertainties.
Forward citations
Cited by 2 Pith papers
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Pion $\beta$ decay and $\tau\to\pi\pi\nu_\tau$ beyond leading logarithms
Pion β decay and τ→ππν short-distance radiative corrections are matched at NLL accuracy with evanescent-scheme dependence cancelled, giving Δ_RC^{πℓ}=0.03403(11) and a τ-HVP isospin-breaking shift of −0.07(4)×10^-10.
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Semileptonic kaon decays and the precise determination of $V_{us}$
A hybrid chiral perturbation theory and lattice QCD treatment of radiative corrections to kaon semileptonic decays is claimed to reach 10^-4 precision, yielding V_us = 0.22308(39)(39)(3) and sharpening the Cabibbo ang...
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