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The Ademollo–Gatto theorem for lattice semileptonic decays

2005/08/16 by Damir Becirevic, Damir Bečirević, G. Martinelli +2 · 14 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Chiral perturbation theory #Extrapolation #Lattice (music) #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Valence (chemistry) #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.physletb.2005.11.020

published in Physics Letters B 633(1), 84-88 (Elsevier BV) · 7 pages

arxiv created 2005/08/16 · openalex publication_date 2005/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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, and at the one-loop level, when the masses of the valence and sea light quarks are equal, the correction is of O[(MK2−Mπ2)3]. The formulae presented here can be useful for the mass extrapolation of the results obtained in lattice simulations to the physical point.

Citations