Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-09-03
Nucl.Phys.Proc.Suppl.119:383-385,2003
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice 2002 (matrixel). 3 pages, 2 figures
Scientific paper
10.1016/S0920-5632(03)01561-5
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.
Lin C.-J. D.
Martinelli Gabriele
Pallante Elisabetta
Sachrajda Chris T.
Villadoro Giovanni
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