  Reconnection is an important process that rules dissipation and diffusion of
magnetic energy in plasmas. It is already clear that its rate is enhanced by
turbulence, and that reconnection itself may increase its stochasticity, but
the main mechanism that connects these two effects is still not completely
understood. The aim of this work is to identify, from the terms of the
electromotive force, the dominant physical process responsible for enhancing
the reconnection rate in turbulent plasmas. We employ full three-dimensional
numerical simulations of turbulence driven by stochastic reconnection and
estimate the production and dissipation of turbulent energy and cross-helicity,
the amount of produced residual helicity, and determine the relation between
these quantities and the reconnection rate. We observe the development of the
electromotive force in the studied models with plasma-$\beta = 0.1 - 2$ and the
Lundquist number $S=10^{-5}-10^{-4}$. The turbulent energy and residual
helicity develop in the large-scale current sheet, with the latter decreasing
the effects of turbulent magnetic diffusion. We demonstrate that the stochastic
reconnection, apart from the turbulence, can produce a significant amount of
cross-helicity as well. The cross-helicity to turbulent energy ratio, however,
has no correlation with the reconnection rate. We show that its sufficiently
large value is not a necessary condition for fast reconnection to occur. The
results suggest that cross-helicity is inherent to turbulent fields, but the
reconnection rate enhancement is possibly caused by the effects of magnetic
turbulent diffusion and controlled by the residual helicity.
