CALCULATION OF DELTA I = 3/2 KAON WEAK MATRIX ELEMENTS INCLUDING TWO-PION INTERACTION EFFECTS IN FINITE VOLUME.

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We calculate {Delta}I = 3/2 kaon decay matrix elements using domain wall fermions and the DBW2 gauge action at one coarse lattice spacing corresponding to a{sup -1} = 1.3 GeV. We employ the Lellouch and Luescher formula and its extension for non-zero total momentum to extract the infinite volume, center-of-mass frame decay amplitudes. The decay amplitudes obtained from the methods correspond to those from the indirect method with full order chiral perturbation theory. We confirm that the result is consistent with the previous result calculated with H-parity (anti-periodic) boundary condition by investigating the relative momentum dependence. We evaluate the decay ... continued below

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7 pages

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YAMAZAKI, T. July 23, 2006.

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We calculate {Delta}I = 3/2 kaon decay matrix elements using domain wall fermions and the DBW2 gauge action at one coarse lattice spacing corresponding to a{sup -1} = 1.3 GeV. We employ the Lellouch and Luescher formula and its extension for non-zero total momentum to extract the infinite volume, center-of-mass frame decay amplitudes. The decay amplitudes obtained from the methods correspond to those from the indirect method with full order chiral perturbation theory. We confirm that the result is consistent with the previous result calculated with H-parity (anti-periodic) boundary condition by investigating the relative momentum dependence. We evaluate the decay amplitude ReA{sub 2} at the physical point by a chiral extrapolation with a polynomial function of m{sub {pi}}{sup 2} and the relative momentum as well as the {Delta}I = 3/2 electroweak penguin contributions to {var_epsilon}{prime}/{var_epsilon}. We found that the result of ReA{sub 2} reasonably agrees with the experiment.

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7 pages

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  • XX1VTH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; TUCSON, ARIZONA; 20060723 through 20060728

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  • Report No.: BNL--77133-2006-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 894993
  • Archival Resource Key: ark:/67531/metadc891160

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  • July 23, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 17, 2016, 7:40 p.m.

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YAMAZAKI, T. CALCULATION OF DELTA I = 3/2 KAON WEAK MATRIX ELEMENTS INCLUDING TWO-PION INTERACTION EFFECTS IN FINITE VOLUME., article, July 23, 2006; [Upton, New York]. (digital.library.unt.edu/ark:/67531/metadc891160/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.