Thomas G. Steele

Closed form summation of RG accessible logarithmic contributions to semileptonic B decays and other perturbative processes

For any perturbative series that is known to

A gaussian sum-rule analysis of scalar glueballs

k

Instanton and higher-loop perturbative contributions to the QCD sum-rule analysis of pseudoscalar gluonium

-subleading orders of perturbation theory, we utilise the process-appropriate renormalization-group (RG) equation in order to obtain all-orders summation of series terms proportional to

Gaussian sum rules and prediction of resonance properties

alpha^n log^{n-k}(mu^2)

Instanton effects on the role of the low-energy theorem for the scalar gluonic correlation function

with

Mass of pseudoscalar gluonium. A higher-loop QCD sum-rule estimate

k = {0,1,2,3}

Holder inequalities and bounds on the masses of light quarks

, corresponding to the summation to all orders of the leading and subsequent-three-subleading logarithmic contributions to the full perturbative series. These methods are applied to the perturbative series for semileptonic

Lower bound to the pion polarizability from QCD sum rules

b

Three Loop Estimate of the Inclusive Semileptonic b → c Decay Rate

-decays in both MS-bar and pole-mass schemes, and they result in RG-summed series for the decay rates which exhibit greatly reduced sensitivity to the renormalization scale

Constraints on higher-order perturbative corrections in b → u semileptonic decays from residual renormalization-scale dependence

mu