Abstract
We fill up the missing piece in our own re-analysis of the long-distance electromagnetic radiative corrections to semileptonic kaon decays by performing a rigorous study in the K → πμ+νμ(γ) channels. With appropriate experimental and lattice inputs, we achieve a precision level of 10−4 in these channels. This is comparable to our previous analysis in the K → πe+νe(γ) channels. With this new result, we present an updated global analysis to extract the Standard Model parameter |Vus| from semileptonic kaon decays. We obtain |Vus| = 0.22308(55) and 0.22356(73), using the lattice average of the K0 → π− transition form factor at Nf = 2 + 1 + 1 and Nf = 2 + 1, respectively.
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Seng, CY., Galviz, D., Gorchtein, M. et al. Complete theory of radiative corrections to Kℓ3 decays and the Vus update. J. High Energ. Phys. 2022, 71 (2022). https://doi.org/10.1007/JHEP07(2022)071
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DOI: https://doi.org/10.1007/JHEP07(2022)071