Bijnens, Johan and Sonoda, Hidenori and Wise, Mark B. (1984) Validity of Chiral Perturbation Theory for K0-K―0 Mixing. Physical Review Letters, 53 (25). pp. 2367-2370. ISSN 0031-9007 http://resolver.caltech.edu/CaltechAUTHORS:BIJprl84
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Chiral perturbation theory relates the |ΔS|=2 matrix element 〈K―0|(s―d)V-A×(s―d)V-A|K0〉 to the |ΔS|=1 matrix element 〈π+π0|(s―d)V-A(u―u)V-A+(s―u)V-A×(u―d)V-A-(s―d)V-A(d―d)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-K―0 mixing. In this paper the corrections of order mK4 lnmK2 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.
|Additional Information:||©1984 The American Physical Society. Received 18 October 1984. We thank M. Peskin for useful discussions. This work was supported in part by the U.S. Department of Energy under Contract No. DE-AC03-81-ER40050, and through the U.S. Department of Energy Outstanding Junior Investigator Program under Contract No. DE-FG03-84ER40172. One of us (M.B.W.) acknowledges receipt of an Alfred P. Sloan Fellowship, and one of us (J.B.) acknowledges receipt of the National Fonds voor Wetenschappelyjl Onderzoek, Belgium.|
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