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Article
Report number	hep-lat/0209020 ; SHEP-2002-18 ; CERN-TH-2002-234
Title	$K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
Author(s)	Lin, C J D ; Martinelli, G ; Pallante, E ; Sachrajda, Christopher T C ; Villadoro, Giovanni
Affiliation	(CERN) ; (Rome) ; (SISSA) ; (Southampton)
Publication	2003
Imprint	3 Sep 2002
Number of pages	3
In:	Nucl. Phys. B, Proc. Suppl. 119 (2003) 383-385
In:	20th International Symposium on Lattice Field Theory, Cambridge, MA, USA, 24 - 29 Jun 2002, pp.383-385
DOI	10.1016/S0920-5632(03)01561-5
Subject category	Particle Physics - Lattice
Abstract	We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for constructing the physical $K^{+}\to\pi^{+}\pi^{0}$ 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 $\chi$PT and quenched $\chi$PT (q$\chi$PT), and the finite-volume effects are studied.

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