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$K\to\pi\nu\bar\nu$ and High Precision Determinations of the CKM Matrix
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abstract
We investigate the future determination of the CKM matrix using theoretically clean quantities, like $B(K^+\to\pi^+\nu\bar\nu)$, $B(K_L\to\pi^0\nu\bar\nu)$ or $\sin 2\beta$, $\sin 2\alpha$ as extracted from CP violation studies in $B$ physics. The theoretical status of $K\to\pi\nu\bar\nu$ is briefly reviewed and their phenomenological potential is compared with that of CP asymmetries in $B$ decays. We stress the unique opportunities provided by measuring the CP violating rare decay $K_L\to\pi^0\nu\bar\nu$. It is pointed out that this mode is likely to offer the most precise determination of ${\rm Im}V^*_{ts}V_{td}$ and the Jarlskog parameter $J_{CP}$, the invariant measure of CP violation in the Standard Model.
Forward citations
Cited by 4 Pith papers
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Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test
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Constraints on scalar leptoquarks from lepton and kaon physics
Scalar leptoquark couplings are constrained by a comprehensive set of upper bounds from tau, muon, electron, and kaon decay data, including standard model interference in rare K to pi l+ l- modes.
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Prospects for $K_{L}\to\pi^{0}\nu\bar{\nu}$, $K_S\to\mu^+\mu^-$, $K_L\to\pi^0 \ell^+\ell^-$ and $\varepsilon^{\prime}/\varepsilon$ after the new $K^{+}\to\pi^{+}\nu\bar{\nu}$ result from NA62
A Z' model with both left- and right-handed sbar-d couplings can enhance K_L→π0ννbar by an order of magnitude while keeping K+→π+ννbar and ε_K SM-like.
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Natural complex plane for kaon CKM data: framework, status and future
The natural complex plane for kaon CKM constraints is spanned by A^2(1-ρ̂) and A^2η̂; current data allow four islands, and future measurements will reduce them to one or expose new physics.
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