K_{e3} decays and CKM unitarity

Details K_{e3} decays and CKM unitarity K_{e3} decays and CKM unitarity

2004-01-23

arxiv.org/abs/hep-ph/0401173v1

Eur.Phys.J.C35:53-65,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures, uses EPJC macros

Scientific paper

10.1140/epjc/s2004-01780-x

We present a detailed numerical study of the K_{e3} decays to O(p^6,(m_d-m_u)p^2,e^2p^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 order 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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