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Application of chiral perturbation theory to K→2π decays

Bernard, Claude and Draper, Terrence and Soni, A. and Politzer, H. David and Wise, Mark B. (1985) Application of chiral perturbation theory to K→2π decays. Physical Review D, 32 (9). pp. 2343-2347. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:BERprd85

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Abstract

Chiral perturbation theory is applied to the decay K→2π. It is shown that, to quadratic order in meson masses, the amplitude for K→2π can be written in terms of the unphysical amplitudes K→π and K→0, where 0 is the vacuum. One may then hope to calculate these two simpler amplitudes with lattice Monte Carlo techniques, and thereby gain understanding of the ΔI=1/2 rule in K decay. The reason for the presence of the K→0 amplitude is explained: it serves to cancel off unwanted renormalization contributions to K→π. We make a rough test of the practicability of these ideas in Monte Carlo studies. We also describe a method for evaluating meson decay constants which does not require a determination of the quark masses.


Item Type:Article
Additional Information:©1985 The American Physical Society Received 3 December 1984 We are grateful to Steve Otto for discussions, especially for extracting for us the value of a at β = 5.7 from his potential measurement. The work of C.B. and T.D. was partially supported by the National Science Foundaiton. The work of A.S., H.P., and M.W. was supported by the Department of Energy. M.W. also received support from the Alfred P. Sloan Foundation. The computing was done on the MFE computing network and was supported by the Department of Energy. Two of us (C.B. and T.D.) also thank the UCLA Academic Senate Coomittee on Research for partial support.
Record Number:CaltechAUTHORS:BERprd85
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BERprd85
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.32.2343
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5605
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Oct 2006
Last Modified:05 Mar 2013 03:05

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