Lattice calculation of weak matrix elements

C. Bernard; T. Draper; G. Hockney; A. M. Rushton; A. Soni

doi:10.1103/PhysRevLett.55.2770

Lattice calculation of weak matrix elements

C. Bernard, T. Draper, G. Hockney, A. M. Rushton, A. Soni

Physics And Astronomy

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Abstract

We present the first results from a small-lattice (63 × 10) calculation of nonleptonic weak matrix elements. The 12 rule is studied as a test case. For a lattice meson of approximately the kaon mass we find a significantly enhanced I=12 amplitude and a I=32 amplitude compatible with zero within our statistics. The dominance of the I=12 amplitude appears to be due to a class of graphs called the eye graphs. Qualitatively similar results are found whether or not the charm quark is integrated out ab initio. We also report preliminary results on other weak matrix elements.

Original language	English
Pages (from-to)	2770-2773
Number of pages	4
Journal	Physical Review Letters
Volume	55
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.55.2770
State	Published - 1985

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General Physics and Astronomy

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abstract = "We present the first results from a small-lattice (63 × 10) calculation of nonleptonic weak matrix elements. The 12 rule is studied as a test case. For a lattice meson of approximately the kaon mass we find a significantly enhanced I=12 amplitude and a I=32 amplitude compatible with zero within our statistics. The dominance of the I=12 amplitude appears to be due to a class of graphs called the eye graphs. Qualitatively similar results are found whether or not the charm quark is integrated out ab initio. We also report preliminary results on other weak matrix elements.",

author = "C. Bernard and T. Draper and G. Hockney and Rushton, {A. M.} and A. Soni",

year = "1985",

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T1 - Lattice calculation of weak matrix elements

AU - Bernard, C.

AU - Draper, T.

AU - Hockney, G.

AU - Rushton, A. M.

AU - Soni, A.

PY - 1985

Y1 - 1985

N2 - We present the first results from a small-lattice (63 × 10) calculation of nonleptonic weak matrix elements. The 12 rule is studied as a test case. For a lattice meson of approximately the kaon mass we find a significantly enhanced I=12 amplitude and a I=32 amplitude compatible with zero within our statistics. The dominance of the I=12 amplitude appears to be due to a class of graphs called the eye graphs. Qualitatively similar results are found whether or not the charm quark is integrated out ab initio. We also report preliminary results on other weak matrix elements.

AB - We present the first results from a small-lattice (63 × 10) calculation of nonleptonic weak matrix elements. The 12 rule is studied as a test case. For a lattice meson of approximately the kaon mass we find a significantly enhanced I=12 amplitude and a I=32 amplitude compatible with zero within our statistics. The dominance of the I=12 amplitude appears to be due to a class of graphs called the eye graphs. Qualitatively similar results are found whether or not the charm quark is integrated out ab initio. We also report preliminary results on other weak matrix elements.

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DO - 10.1103/PhysRevLett.55.2770

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VL - 55

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EP - 2773

JO - Physical Review Letters

JF - Physical Review Letters

IS - 25

ER -

Lattice calculation of weak matrix elements

Abstract

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