K⁺ -> π⁺π⁰ decays at next-to-leading order in the chiral expansion on finite volumes

Lin, C.-J. D., Martinelli, G., Pallante, E., Sachrajda, C. T. and Villadoro, G. (2003) K⁺ -> π⁺π⁰ decays at next-to-leading order in the chiral expansion on finite volumes. Nuclear Physics B - Proceedings Supplements, 119, 383-385. (doi:10.1016/S0920-5632(03)01561-5).

Abstract

We present the ingredients for determining K⁺ -> π⁺π⁰ matrix elements via the combination of lattice QCD and chiral perturbation theory (χPT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for constructing the physical K⁺ -> π⁺π⁰ amplitudes at next-to-leading order (NLO) in the chiral expansion. In this work, the one-loop chiral corrections are calculated for arbitrary meson four-momenta, in both χPT and quenched χPT (gχPT), and the finite-volume effects are studied.

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