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K e3 decays and CKM unitarity

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Abstract.

We present a detailed numerical study of the K e3 decays to \({\cal O}(p^6, (m_d-m_u)p^2, e^2 p^2)\) in chiral perturbation theory with virtual photons and leptons. We describe the extraction of the CKM matrix element |V us | from the experimental K e3 decay parameters. We propose a consistency check of the K + e3 and K 0 e3 data that is largely insensitive to the dominating theoretical uncertainties, in particular the contributions of \({\cal O}(p^6)\). Our analysis is highly relevant in view of the recent high statistics measurement of the K + e3 branching ratio by E865 at Brookhaven which does not indicate any significant deviation from CKM unitarity but rather a discrepancy with the present K 0 e3 data.

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Received: 22 January 2004, Published online: 30 April 2004

Work supported in part by IHP-RTN, Contract No. HPRN-CT2002-00311 (EURIDICE) and by Acciones Integradas, Project No. 19/2003 (Austria), HU2002-0044 (MCYT, Spain)

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Cirigliano, V., Neufeld, H. & Pichl, H. K e3 decays and CKM unitarity. Eur. Phys. J. C 35, 53–65 (2004). https://doi.org/10.1140/epjc/s2004-01745-1

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  • DOI: https://doi.org/10.1140/epjc/s2004-01745-1

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