Finite-volume two-pion amplitudes in the I = 0 channel

C.-J.D. Lin, G. Martinelli, E. Pallante, C.T. Sachrajda, G. Villadoro

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Abstract

We perform a calculation in one-loop chiral perturbation theory of the two-pion matrix elements and correlation functions of an I = 0 scalar operator, in finite and infinite volumes for both full and quenched QCD. We show that major difficulties arise in the quenched theory due to the lack of unitarity. Similar problems are expected for quenched lattice calculations of K →ππ amplitudes with ΔI = 1/2. Our results raise the important question of whether it is consistent to study K →ππ amplitudes beyond leading order in chiral perturbation theory in quenched or partially quenched QCD.
Original languageEnglish
Pages (from-to)229-241
Number of pages13
JournalPhysics Letters B
Volume553
Issue number3
DOIs
Publication statusPublished - 2003
Externally publishedYes

Keywords

  • CHIRAL PERTURBATION-THEORY
  • QUENCHED APPROXIMATION
  • SCATTERING
  • DECAYS

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