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Chiral perturbation theory and the delta I = 1/2 rule

Bernard, Claude W. and Draper, Terrence and Soni, A. and Politzer, H. David and Wise, Mark B. (1984) Chiral perturbation theory and the delta I = 1/2 rule. . (Unpublished)

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Chiral perturbation theory is applied to the decay K π 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 rest of the practicability of these ideas to 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:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
Politzer, H. David0000-0002-4983-6621
Wise, Mark B.0000-0002-9125-801X
Additional Information: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 Foundation. The work of A.S. was supported by the Department of Energy Outstanding Junior Investigator program. H.P. and H.W. were supported in part by the Department of Energy; M.W, also received support from the Department of Energy Outstanding Junior Investigator program and from an Alfred P. Sloan Foundation Fellowship. 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 Committee on Research for partial support.
Group:Caltech Theory
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Department of Energy (DOE)UNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
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Record Number:CaltechAUTHORS:20200928-170836480
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105623
Deposited By: Joy Painter
Deposited On:29 Sep 2020 15:50
Last Modified:29 Sep 2020 15:50

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