K+ → π+π0 decays on finite volumes and at next-to-leading order in the chiral expansion

Chi-Jen Lin, G. Martinelli, E. Pallante, C. T. Sachrajda*, G. Villadoro

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

28 Scopus citations

Abstract

We present the ingredients necessary for the determination of physical K → ππ decay amplitudes for ΔI = 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 I=2(ππ OW K>, where ∂W is one of the operators appearing in the ΔS = 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.

Original languageEnglish
Pages (from-to)301-355
Number of pages55
JournalNuclear Physics B
Volume650
Issue number1-2
DOIs
StatePublished - 3 Feb 2003

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