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

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 o...

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Autor principal: Narison, Stéphan
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)00295-V
http://cds.cern.ch/record/269460
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author Narison, Stéphan
author_facet Narison, Stéphan
author_sort Narison, Stéphan
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-2694602019-09-30T06:29:59Zdoi:10.1016/0370-2693(95)00295-Vhttp://cds.cern.ch/record/269460engNarison, StéphanK$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rulesParticle Physics - PhenomenologyUsing 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.hep-ph/9409428arXiv:hep-ph/9409428CERN-TH-7441-94oai:cds.cern.ch:2694601994-09-27
spellingShingle Particle Physics - Phenomenology
Narison, Stéphan
K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title_full K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title_fullStr K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title_full_unstemmed K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title_short K$^{0}$-$\overline{K}^{0}$ mixing and the CKM parameters ($\varrho$,$\eta$) from the Laplace sum rules
title_sort k$^{0}$-$\overline{k}^{0}$ mixing and the ckm parameters ($\varrho$,$\eta$) from the laplace sum rules
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/0370-2693(95)00295-V
http://cds.cern.ch/record/269460
work_keys_str_mv AT narisonstephan k0overlinek0mixingandtheckmparametersvarrhoetafromthelaplacesumrules