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Using the field theoretic renormalization group technique in the two-loopapproximation, turbulent Prandtl numbers are obtained in the general $A$ modelof passive vector advected by fully developed turbulent velocity field withviolation of spatial parity introduced via continuous parameter $\rho$ rangingfrom $\rho=0$ (no violation of spatial parity) to $|\rho|=1$ (maximum violationof spatial parity). In non-helical environments, we demonstrate that $A$ isrestricted to $-1.723 \leq A \leq 2.800$ (rounded on the last presented digit)due to the constraints of two-loop calculations. When $\rho >0.749$restrictions may be removed. Furthermore, three physically important cases $A\in \{-1, 0, 1\}$ are shown to lie deep within the allowed interval of $A$ forall values of $\rho$. For the model of linearized Navier-Stokes equations ($A =-1$) up to date unknown helical values of turbulent Prandtl number have beenshown to equal $1$ regardless of parity violation. Furthermore, we have shownthat interaction parameter $A$ exerts strong influence on advection diffusionprocesses in turbulent environments with broken spatial parity. In explicit,depending on actual value of $A$ turbulent Prandtl number may increase ordecrease with $\rho$. By varying $A$ continuously we explain high stability ofkinematic MHD model ($A=1$) against helical effects as a result of itscloseness to $A = 0.912$ (rounded on the last presented digit) case wherehelical effects are completely suppressed. Contrary, for the physicallyimportant $A=0$ model we show that it lies deep within the interval of modelswhere helical effects cause the turbulent Prandtl number to decrease with$|\rho|$. We thus identify internal structure of interactions given byparameter $A$, and not the vector character of the admixture itself to be thedominant factor influencing diffusion advection processes in the helical $A$model.

Helical turbulent Prandtl number in the $A$ model of passive advection: Two loop approximation