{$K^0$}-{$\overline{K}^0$} mixing and the CKM parameters $(ρ,η)$ from the Laplace sum rules

Details {$K^0$}-{$\overline{K}^0$} mixing and the CKM parameters $(ρ,η)$ from the Laplace sum rules {$K^0$}-{$\overline{K}^0$} mixing and the CKM parameters $(ρ,η)$ from the Laplace sum rules

1994-09-27

arxiv.org/abs/hep-ph/9409428v2

Phys.Lett.B351:369-374,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages in latex file + 3 figure in ps files (sent by requests), CERN-TH.7441/94 (1994) (some missprints in the previous versi

Scientific paper

10.1016/0370-2693(95)00295-V

Using the Laplace sum rule (LSR) approach, which is less affected by the contribution of the higher mass hadronic states than the Finite Energy Sum Rule (FESR), we test the reliability of the existing estimate of the $K^0$-$\overline {K}^0$ mixing parameter from the four-quark two-point correlator. We obtain, for the renormalization group invariant $B$-parameter $\Big[ f_K/(1.2f_\pi)\Big]^2 \hat {B}_K$, the upper bound: 0.83 and the $best$ estimate: $0.55 \pm 0.09$. Combining the previous estimate with the updated value of $f_B\sqrt{B_B}=(1.49\pm 0.14)f_\pi$ obtained from the same LSR method, one can deduce the $best$ fitted values $(\rho,\eta)\approx (0.41,0.09)$ of the CKM parameters.

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