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Precision Measurements and CKM Unitarity

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arxiv hep-ph/0406324 v2 pith:7WTLSPZ4 submitted 2004-06-29 hep-ph

Precision Measurements and CKM Unitarity

classification hep-ph
keywords unitaritydecayexperimentalneutronprecisionacceptedadvancesalong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Determinations of $\vud$ and $\vus$ along with their implications for the unitarity test $\vud^2+\vus^2+\vub^2=1$ are discussed. The leading two loop radiative corrections to neutron $\beta$-decay are evaluated and used to derive a refined relationship $\vud^2 \tau_n (1+3g_A^2)=4908(4)$sec. Employing $\vud =0.9740(5)$ from superallowed nuclear decays and the measured neutron lifetime $\tau_n = 885.7(7)$sec, leads to the precise prediction $g_A=1.2703(8)$ which is compared with current direct experimental values. Various extractions of $\vus$ are described and updated. The long accepted Particle Data Group value of $\vus$ from fitted $K_{e3}$ decay rates suggests a deviation from CKM unitarity but it is contradicted by more recent experimental results which confirm unitarity with good precision. An outlook for possible future advances is given.

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