Recent lattice calculation of weak matrix elements

Lattice Calculation of Glueball Matrix Elements

Matrix elements of the form < 0|Tr g2GG|G > are calculated using the lattice QCD Monte Carlo method. Here, |G > is a glueball state with quantum numbers 0++, 2++, 0−+ and G is the gluon field strength operator. The matrix elements are obtained from the hybrid correlation functions of the fuzzy and plaquette operators performed on the 124 and 144 lattices at β = 5.9 and 5.96 respectively. These ...

Lattice Calculation of Quarkonium Decay Matrix Elements

We calculate the NRQCD matrix elements for the decays of the lowest-lying Sand P-wave states of charmonium and bottomonium in quenched lattice QCD. We also compute the one-loop relations between the lattice and continuum matrix elements. Heavy-quarkonium systems are nonrelativistic. In the CM frame, the average quark velocity v satisfies v 2 ≪ 1, where v 2 ≈ 0.3 for charmonium, and v 2 ≈ 0.1 fo...

Weak Matrix Elements on the Lattice: Recent Developments in K-physics

Glueball matrix elements: a lattice calculation and applications

We compute the matrix elements of the energy-momentum tensor between glueball states and the vacuum in SU(3) lattice gauge theory and extrapolate them to the continuum. These matrix elements may play an important phenomenological role in identifying glue-rich mesons. Based on a relation derived long ago by the ITEP group for J/ψ radiative decays, the scalar matrix element leads to a branching r...

Weak Matrix Elements on the Lattice | circa 1995

Status of weak matrix elements is reviewed. In particular, 0 ==, B ! K , BK, BB and BB s are discussed and the overall situation with respect to the lattice eeort and some of its phenomenological implications are summarized. For 0 == the need for the relevant matrix elements is stressed in view of the forthcoming improved experiments. For some of the operators, (e.g. O6), even bounds on their m...