Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-10-05
PoS LAT2005 (2005) 344
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages, 2 figures, talks presented at Lattice 2005 (Weak matrix elements)
Scientific paper
We present our preliminary results for three-point correlation functions involving the operators entering the $\Delta{S}=1$ effective Hamiltonian with an active charm quark, obtained using overlap fermions in the quenched approximation. This is the first computation carried out for valence quark masses small enough so as to permit a matching to Quenched Chiral Perturbation Theory in the $\epsilon$-regime. The commonly observed large statistical fluctuations are tamed by means of low-mode averaging techniques, combined with restrictions to individual topological sectors. We also discuss the matching of the resulting hadronic matrix elements to the effective low-energy constants for $\Delta{S}=1$ transitions. This involves (a) finite-volume corrections which can be evaluated at NLO in Quenched Chiral Perturbation Theory, and (b) the short-distance renormalization of the relevant four-quark operators in discretizations based on the overlap operator. We discuss perturbative estimates for the renormalization factors and possible strategies for their non-perturbative evaluation. Our results can be used to isolate the long-distance contributions to the $\Delta I=1/2$ rule, coming from physics effects around the intrinsic QCD scale.
Giusti Leonardo
Hernandez Pedro
Laine Mikko
Pena Carlos
Wennekers Jan
No associations
LandOfFree
On the determination of low-energy constants for $ΔS=1$ transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the determination of low-energy constants for $ΔS=1$ transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the determination of low-energy constants for $ΔS=1$ transitions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-249959