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In this note, we clarify a point concerning the power divergence in latticecalculations of $\Delta I = 1/2$ $K\to\pi\pi$ decay amplitudes. There have beenworries that this divergence might show up in the Minkowski amplitudes at$M_{K}=M_{\pi}$ with all the mesons at rest. Here we demonstrate, via anexplicit calculation in leading-order Chiral Perturbation Theory, that thepower divergence is absent at the above kinematic point, as predicted by CPSsymmetry.Comment: 5 pages, 2 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Note on the power divergence in lattice calculations of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /><mml:mi /><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>amplitudes at<mml:math xmlns:mml="http://www.w3.org/…

Note on the power divergence in lattice calculations ofΔI=1/2K→ππamplitudes at