The isospin-breaking vector meson decay constants are determined from a QCD sum rule analysis of the vector current correlator 〈O|T ( V 3 μ V 8 ν ) |O〉, using a recently proposed implementation of the finite energy sum rule approach. The analysis employs the three-loop version of the OPE, and two different families of weight functions. It is shown that the requirement of consistency between res...

The potential, or more generally the spectrum of a system of heavy quarks cannot be directly discussed in terms of the OPE (operator product expansion). However, one can use dispersion relations to deduce a number of sum rules relating bound state properties to quantities obtainable via the OPE (“ITEP-type” sum rules). One can then use the estimates of nonperturbative contributions to bound sta...

We use a dispersion relation in conjunction with the operator product expansion (OPE) to derive model independent sum rules for the dynamic structure functions of systems with large scattering lengths. We present an explicit sum rule for the structure functions that control the density and spin response of the many-body ground state. Our methods are general, and apply to either fermions or boso...

We use the procedure of pinched-weight Finite Energy Sum Rules (pFESR) to determine the OPE coefficients a6, · · · , a16 of the flavor ud V-A correlator in terms of existing hadronic τ decay data. We show by appropriate weight choices that the error on the dominant d = 6 contribution, which is known to be related to the K → ππ matrix elements of the electroweak penguin operator in the chiral li...

OPE constraints are studied as a means of distinguishing between the versions of the I = 1 vector spectral function extracted from (i) inclusive I = 1 hadronic electroproduction cross-sections and (ii) inclusive I = 1 hadronic τ decay data, with the goal of clarifying expectations for the leading order hadronic contribution to aµ = (g − 2)µ/2 in the Standard Model. The constraints are shown to,...