6533b861fe1ef96bd12c582e
RESEARCH PRODUCT
Correlators of left charges and weak operators in finite volume chiral perturbation theory
Pilar HernándezMikko Lainesubject
PhysicsNuclear and High Energy PhysicsChiral perturbation theoryFinite volume methodHigh Energy Physics::LatticeFlavourHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesFísicaParticle Physics - LatticeStrangenessweak decaysOperator (computer programming)AmplitudeHigh Energy Physics - Latticechiral Lagrangianslattice QCDLattice (order)kaon physicsPion decay constantMathematical physicsdescription
We compute the two-point correlator between left-handed flavour charges, and the three-point correlator between two left-handed charges and one strangeness violating \Delta I=3/2 weak operator, at next-to-leading order in finite volume SU(3)_L x SU(3)_R chiral perturbation theory, in the so-called epsilon-regime. Matching these results with the corresponding lattice measurements would in principle allow to extract the pion decay constant F, and the effective chiral theory parameter g_27, which determines the \Delta I = 3/2 amplitude of the weak decays K to \pi\pi as well as the kaon mixing parameter B_K in the chiral limit. We repeat the calculations in the replica formulation of quenched chiral perturbation theory, finding only mild modifications. In particular, a properly chosen ratio of the three-point and two-point functions is shown to be identical in the full and quenched theories at this order.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-12-10 |