On Lattice Computations of K+ --> pi+ pi0 Decay at m_K =2m_pi

Abstract

We use one-loop chiral perturbation theory to compare potential lattice computations of the K+ --> pi+ pi0 decay amplitude at m_K=2m_pi with the experimental value. We find that the combined one-loop effect due to this unphysical pion to kaon mass ratio and typical finite volume effects is still of order minus 20-30%, and appears to dominate the effects from quenching.

4 pages, revtex

References in corpus (4)

• Applications of Partially Quenched Chiral Perturbation Theory
• New lattice approaches to the $\Delta I=1/2$ rule
• Chiral perturbation theory for K+ to pi+ pi0 decay in the continuum and on the lattice
• $K^{+}\to {\pi }^{+}{\pi }^0$ Decay Amplitude with the Wilson Quark Action in Quenched Lattice QCD

Cited by in corpus (11)

• Nucleon Masses and Magnetic Moments in a Finite Volume
• Baryon Axial Charge in a Finite Volume
• Heavy meson chiral perturbation theory in finite volume
• Twist-two matrix elements at finite and infinite volume
• Incorporating Chiral Symmetry and Heavy Quark Theory in Extrapolations of Octet Baryon Charge Radii
• K^+ -> pi^+ pi^0 Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• Matrix Elements of Light Quarks
• Chiral Perturbation Theory on the Lattice and its Applications
• $K^{+}\to {\pi }^{+}{\pi }^0$ decays at next-to-leading order in the chiral expansion on finite volumes
• Chiral Logarithms in $\Delta S=1$ Kaon Decay Amplitudes in General Effective Flavor Theories