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Validity of Chiral Perturbation Theory for K0-K―0 Mixing

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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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.53.2367DOIUNSPECIFIED
http://link.aps.org/abstract/PRL/v53/p2367PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Department of EnergyDE-AC03-81-ER40050
Department of Energy, Outstanding Junior Investigator ProgramDE-FG03-84ER40172
Alfred P. Sloan FoundationUNSPECIFIED
National Fonds voor Wetenschappelyjl Onderzoek (Belgium)UNSPECIFIED
Record Number:CaltechAUTHORS:BIJprl84
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Deposited On:29 Jul 2008 04:09
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