Lattice extraction ofK→ππamplitudes toO(p4)in chiral perturbation theory

2002/03/31 by Jack Laiho, Amarjit Soni · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.65.114020

published as Phys.Rev. D65 (2002) 114020 · 20 pages, 1 figure. This is the final published version, where some minor corrections have been made

openalex publication_date 2002/06/24 · arxiv created 2002/07/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the lattice calculation of \stackrel\ensuremath→K\ensuremathπ\ensuremathπ and \ensuremathε^\ensuremath'/\ensuremathε amplitudes for (8,1) and (27,1) operators to O(p⁴) in chiral perturbation theory is feasible when one uses \stackrel\ensuremath→K\ensuremathπ\ensuremathπ computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two- and three-point functions, namely \stackrel\ensuremath→K0, \stackrel\ensuremath→K\ensuremathπ (with momentum), and K\ensuremath-K. Explicit expressions for the finite logarithms emerging from our O(p⁴) analysis to the above amplitudes are also given.

Citations

• Matrix elements relevant forΔI=1/2rule andɛ′/ɛ from lattice QCD with staggered fermions
• An upgraded analysis of ɛ′/ɛ at the next-to-leading order
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark

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