  Azimuthal asymmetries $v_n$ in the soft transverse momentum spectra of
hadronic collisions can result as a consequence of quantum interference and
color flow which translates spatial anisotropies into momentum anisotropies via
multipole radiation patterns. Here, we analyze to what extent these effects
result in signal strengths $v_n\lbrace 2s\rbrace$ that can persist in higher
order $(2s)$ cumulants. In a simple model of soft multi-particle production
with quantum interference effects in which $m$ particles are emitted from $N$
sources and in which interference contributions appear naturally ordered in
inverse powers of the adjoint color trace, $1/(N_c^2-1)$, we provide the first
resummed calculation of all powers of $m^2/(N_c^2-1)$. This allows one to
determine all higher order flow cumulants $v_n\lbrace 2s\rbrace$ with the same
parametric accuracy. For a phenomenologically relevant range of $N$ sources
emitting $m$ particles, we find that the even flow coefficients $v_n\lbrace
2s\rbrace$ decrease very mildly with increasing cumulants. This provides a
proof of principle that non-vanishing higher order cumulants $v_n\lbrace
2s\rbrace$ can persist in systems that exhibit neither final state interactions
nor phenomena related to high (saturated) initial parton densities.
