  We study momentum dependence of static magnetic susceptibility $\chi(q)$ in
paramagnetic phase of Heisenberg magnets and its relation to critical behavior
within nonlinear sigma model (NLSM) at arbitrary dimension $2<d<4$. In the
first order of $1/N$ expansion, where $N$ is the number of spin components, we
find $\chi(q)\propto[q^{2}+\xi^{-2}(1+f(q\xi ))]^{-1+\eta /2}$, where $\xi $ is
the correlation length, $q$ is the momentum, measured from magnetic wave
vector, the universal scaling function $f(x)$ describes deviation from the
standard Landau-Ginzburg momentum dependence. In agreement with previous
studies at large $x$ we find $f(x\gg 1)\simeq (2B_{4}/N)x^{4-d}$; the absolute
value of the coefficient $B_4$ increases with $d$ at $d>5/2$. Using NLSM, we
obtain the contribution of the"anomalous" term $\xi^{-2}f(q\xi )$ to the
critical exponent $\nu $, comparing it to the contribution of the
non-analytical dependence, originating from the critical exponent $\eta $ (the
obtained critical exponents $\nu $ and $\eta $ agree with previous studies). In
the range $3\leq d<4$ we find that the former contribution dominates, and fully
determines $1/N$ correction to the critical exponent $\nu $ in the limit
$d\rightarrow 4.$
