  I obtain the inverse of the correlation length exponent at the
superfluid-Bose glass quantum critical point as a series in small parameter
$\sqrt{d-1}$, with d being the dimensionality of the system, and compute the
first two terms using a novel field-theoretic technique. For d=2 I find $\nu_s
= 0.81$ and $\nu_c = 1.03$, for short-range and Coulomb interactions between
bosons, respectively. When combined with the exact values of the dynamical
critical exponents $z_s = d$ and $z_c = 1$, these results are in quantitative
agreement with the experiments on onset of superfluidity in $^4 He$ in porous
glasses, and on superconductor-insulator transition in homogeneous metallic
films, in support of the dirty-boson theory fot the latter. Higher-order
calculation of the exponents and of the universal conductivity is discussed.
