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Phys. Rev. Lett. 53, 2367–2370 (1984)

Validity of Chiral Perturbation Theory for K0-K0 Mixing

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Johan Bijnens, Hidenori Sonoda, and Mark B. Wise
California Institute of Technology, Pasadena, California 91125

Received 18 October 1984; published in the issue dated 17 December 1984

Chiral perturbation theory relates the |ΔS|=2 matrix element K0|(sd)V-A×(sd)V-A|K0 to the |ΔS|=1 matrix element π+π0|(sd)V-A(uu)V-A+(su)V-A×(ud)V-A-(sd)V-A(dd)V-A|K+. The latter matrix element is measured in K+π+π0 decay and the former matrix element is relevant for the predictions that the standard model makes for CP nonconservation in K0-K0 mixing. In this paper the corrections of order mK4lnmK2 to lowest-order chiral perturbation theory (i.e., order mK2) for these matrix elements are computed. The correction is large for the |ΔS|=2 matrix element indicating a breakdown of chiral perturbation theory.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.53.2367
DOI:
10.1103/PhysRevLett.53.2367
PACS:
11.30.Rd, 11.30.Er, 13.25.+m, 14.40.Ag