K^+ -> pi^+ pi^0 Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion

Abstract

We present the ingredients necessary for the determination of physical K->pi pi decay amplitudes for Delta I=3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading order. In particular we derive the expressions for the matrix elements <pi pi(I=2)|O_W|K>, where O_W is one of the operators appearing in the Delta S=1 weak Hamiltonian, in terms of low-energy constants at next-to-leading order in the chiral expansion. The one-loop chiral corrections are evaluated for arbitrary masses and momenta, both in full QCD and in the quenched approximation. We also investigate the finite-volume effects in this procedure.

57 pages, 1 figure, minor modifications and additions, version accepted in Nucl. Phys. B

Cited by in corpus (24)

• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Twisted Boundary Conditions in Lattice Simulations
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• 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
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Correlations between epsilon'/epsilon and Rare K Decays in the Littlest Higgs Model with T-Parity
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Lattice extraction of $K\to \pi \pi$ amplitudes to NLO in partially quenched and in full chiral perturbation theory
• Finite-Volume Partially-Quenched Two-Pion Amplitudes in the I=0 Channel
• Probing the chiral weak Hamiltonian at finite volumes
• K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum
• Progress in kaon physics on the lattice
• Topics in Effective Field Theory for Lattice QCD
• Chiral Perturbation Theory on the Lattice and its Applications
• Matrix elements of DI=3/2 K-->pi pi decays
• Next to Leading Order Chiral Perturbation theory of $K\pi \to \pi$ and $K\to \pi \pi$ amplitudes