  Following the strategy proposed by Makarov and Smirnov in arXiv:0909.5377, we
provide technical details for the proof of convergence of massive loop-erased
random walks to the chordal mSLE(2) process. As no follow-up of arXiv:0909.5377
appeared since then, we believe that such a treatment might be of interest for
the community. We do not require any regularity of the limiting planar domain
$\Omega$ near its degenerate prime ends $a$ and $b$ except that
$(\Omega^\delta,a^\delta,b^\delta)$ are assumed to be `close discrete
approximations' to $(\Omega,a,b)$ near $a$ and $b$ in the sense of a recent
work arXiv:1810.05608.
