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An exploratory lattice study of Delta I=3/2 K ->pi pi decays at next-to-leading order in the chiral expansion

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An exploratory lattice study of Delta I=3/2 K ->pi pi decays at next-to-leading order in the chiral expansion

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dc.contributor.author Boucaud, Ph.
dc.contributor.author Giménez Gómez, Vicente
dc.contributor.author David Lin, C.J.
dc.contributor.author Lubicz, V.
dc.contributor.author Martinelli, Guido
dc.contributor.author Papinutto, Mauro
dc.contributor.author Sachrajda, Christopher T.
dc.date.accessioned 2014-09-25T11:29:17Z
dc.date.available 2014-09-25T11:29:17Z
dc.date.issued 2005
dc.identifier.citation Boucaud, Ph. Giménez Gómez, Vicente David Lin, C.J. Lubicz, V. Martinelli, G. Papinutto, Mauro Sachrajda, C.T. 2005 An exploratory lattice study of Delta I=3/2 K ->pi pi decays at next-to-leading order in the chiral expansion Nuclear Physics B 721 1-3 175 211
dc.identifier.uri http://hdl.handle.net/10550/38970
dc.description.abstract We present the first direct evaluation of Delta I = 3/2K -> pi pi matrix elements with the aim of determining all the low-energy constants at NLO in the chiral expansion. Our numerical investigation demonstrates that it is indeed possible to determine the K -> pi pi matrix elements directly for the masses and momenta used in the simulation with good precision. In this range however, we find that the matrix elements do not satisfy the predictions of NLO chiral perturbation theory. For the chiral extrapolation we therefore use a hybrid procedure which combines the observed polynomial behavior in masses and momenta of our lattice results, with NLO chiral perturbation theory at lower masses. In this way we find stable results for the quenched matrix elements of the electroweak penguin operators ((1=2) <pi pi vertical bar O(8)vertical bar K-0> = (0.68 +/- 0.09) GeV3 and (1=2) <pi pi vertical bar O(7)vertical bar K-0> = (0.12 +/- 0.02) GeV3 in the NDR-(MS) over bar scheme at the scale 2 GeV), but not for the matrix elements Of 04 (for which there are too many low-energy constants at NLO for a reliable extrapolation). For all three operators we find that the effect of including the NLO corrections is significant (typically about 30%). We present a detailed discussion of the status of the prospects for the reduction of the systematic uncertainties.
dc.language.iso eng
dc.relation.ispartof Nuclear Physics B, 2005, vol. 721, num. 1-3, p. 175-211
dc.subject Física
dc.title An exploratory lattice study of Delta I=3/2 K ->pi pi decays at next-to-leading order in the chiral expansion
dc.type journal article es_ES
dc.date.updated 2014-09-25T11:29:17Z
dc.identifier.doi 10.1016/j.nuclphysb.2005.05.025
dc.identifier.idgrec 041524
dc.rights.accessRights open access es_ES

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