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• W2666133637 abstract "In view of the recent start of the NA62 experiment at CERN that is expected to measure the $$ {K}^{+}to {pi}^{+}nu overline{nu} $$ branching ratio with a precision of 10%, we summarise the present status of this promising decay within the Standard Model (SM). We do likewise for the closely related $$ {K}_Lto {pi}^0nu overline{nu} $$ , which will be measured by the KOTO experiment around 2020. As the perturbative QCD and electroweak corrections in both decays are under full control, the dominant uncertainties within the SM presently originate from the CKM parameters |V cb |, |V ub | and γ. We show this dependence with the help of analytic expressions as well as accurate interpolating formulae. Unfortunately a clarification of the discrepancies between inclusive and exclusive determinations of |V cb | and |V ub | from tree-level decays will likely require results from the Belle II experiment available at the end of this decade. Thus we investigate whether higher precision on both branching ratios is achievable by determining |V cb |, |V ub | and γ by means of other observables that are already precisely measured. In this context ε K and ΔM s,d , together with the expected progress in QCD lattice calculations will play a prominent role. We find $$ mathrm{mathcal{B}}left({K}^{+}to {pi}^{+}nu overline{nu}right)=left(9.11 pm 0.72right) times 1{0}^{-11} $$ and $$ mathrm{mathcal{B}}left({K}_Lto {pi}^0nu overline{nu}right)Big) = left(3.00 pm 0.30right) times 1{0}^{-11} $$ , which is more precise than using averages of the present tree-level values of |V cb |, |V ub | and γ. Furthermore, we point out the correlation between $$ mathrm{mathcal{B}}left({K}^{+}to {pi}^{+}nu overline{nu}right), overline{mathrm{mathcal{B}}}left({B}_{mathrm{s}}to {mu}^{+}{mu}^{-}right) $$ and γ within the SM, that is only very weakly dependent on other CKM parameters. Finally, we update the correlation of $$ {K}_Lto {pi}^0nu overline{nu} $$ with the ratio ε′ /ε in the SM taking the recent progress on ε′ /ε from lattice QCD and the large N approach into account." @default.
• W2666133637 created "2017-06-30" @default.
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• W2666133637 date "2015-11-01" @default.
• W2666133637 modified "2023-10-02" @default.
• W2666133637 title "K + → π + ν ν ¯ $$ {K}^{+}to {pi}^{+}nu overline{nu} $$ and K L → π 0 ν ν ¯ $$ {K}_Lto {pi}^0nu overline{nu} $$ in the Standard Model: status and perspectives" @default.
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• W2666133637 doi "https://doi.org/10.1007/jhep11(2015)033" @default.
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