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• W1661561128 abstract "We calculate the charm-quark contribution to the decay ${K}_{L}ensuremath{rightarrow}{ensuremath{mu}}^{+}{ensuremath{mu}}^{ensuremath{-}}$ in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter ${P}_{c}$ from $ifmmodepmelsetextpmfi{}22%$ down to $ifmmodepmelsetextpmfi{}7%$, corresponding to scale uncertainties of $ifmmodepmelsetextpmfi{}3%$ and $ifmmodepmelsetextpmfi{}6%$ in the short-distance part of the branching ratio and the determination of the Wolfenstein parameter $overline{ensuremath{rho}}$ from ${K}_{L}ensuremath{rightarrow}{ensuremath{mu}}^{+}{ensuremath{mu}}^{ensuremath{-}}$. The error in ${P}_{c}=0.115ifmmodepmelsetextpmfi{}0.018$ is now in equal shares due to the combined scale uncertainties and the current uncertainty in the charm-quark mass. We find $mathcal{B}({K}_{L}ensuremath{rightarrow}{ensuremath{mu}}^{+}{ensuremath{mu}}^{ensuremath{-}}{)}_{mathrm{SD}}=(0.79ifmmodepmelsetextpmfi{}0.12)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}9}$, with the present uncertainty in the Cabibbo-Kobayashi-Maskawa element ${V}_{td}$ being the dominant individual source in the quoted error." @default.
• W1661561128 created "2016-06-24" @default.
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• W1661561128 date "2006-09-21" @default.
• W1661561128 modified "2023-10-14" @default.
• W1661561128 title "Charm-Quark Contribution to<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>K</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>at Next-to-Next-to-Leading Order" @default.
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• W1661561128 doi "https://doi.org/10.1103/physrevlett.97.122002" @default.
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