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arxiv: hep-lat/0508013 · v1 · submitted 2005-08-16 · ✦ hep-lat · hep-ph

The Ademollo-Gatto theorem for lattice semileptonic decays

classification ✦ hep-lat hep-ph
keywords latticemassesobtainedresultssemileptonicvalenceademollo-gattocalculation
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We present the results of the calculation of the Kl3 semileptonic form factor at zero momentum transfer, f(0), obtained at one-loop in partially quenched Chiral Perturbation Theory (with either Nf=2, or Nf=3, and with generic valence and sea quark masses). We show that for Nf=2, when the masses of the valence and sea light quarks are equal, the correction is of the order (MK^2-Mpi^2)^3. The formulae presented here can be useful for the mass extrapolation of the results obtained in lattice simulations to the physical point.

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