We study current fluctuations in an interacting three-terminal quantum dot with ferromagnetic leads. For appropriately polarized contacts, the transport through the dot is governed by a novel dynamical spin blockade, i.e., a spin-dependent bunching of tunneling events not present in the paramagnetic case. This leads for instance to positive zero-frequency cross-correlations of the currents in the output leads even in the absence of spin accumulation on the dot. We include the influence of spin-flip scattering and identify favorable conditions for the experimental observation of this effect with respect to polarization of the contacts and tunneling rates.PACS numbers: 72.70.+m,72.25.Rb Quantum fluctuations of current in mesoscopic devices have attracted considerable attention in the last years (for reviews, see Refs. [1,2]). It has been shown that the statistics of non-interacting fermions leads to a suppression of noise below the classical Poisson value [3,4,5] and to negative cross-correlations in multi-terminal structures [6]. This was recently confirmed experimentally in a Hanbury Brown-Twiss setup [7]. The question of the sign of cross-correlations has triggered a lot of activity [8], and different mechanisms to obtain positive crosscorrelations in electronic systems have been proposed. Employing a superconductor as a source, positive crosscorrelations have been predicted for several setups [9]. This is because a superconducting source injects highly correlated electron pairs. Screening currents due to longrange Coulomb interactions lead to positive correlations in the finite-frequency voltage noise measured at two capacitors coupled to a coherent conductor [8,10]. Lastly, positive cross-correlations can occur due to the correlated injection of electrons by a voltage probe [12], or due to correlated excitations in a Luttinger liquid [13].Below we will be interested in noise correlations in a quantum dot. This problem was addressed theoretically in the sequential-tunneling limit [14] and in the cotunneling regime [15]. Noise measurements [16] were in agreement with the Coulomb-blockade picture [14]. Crosscorrelations between particle currents in a paramagnetic multi-terminal quantum dot were studied in Ref. [17], and they were found to be negative. The noise of a twoterminal quantum dot with ferromagnetic contacts was studied in the sequential tunneling limit [18,19], and, interestingly, a super-Poissonian Fano factor was found.In this Letter, we consider an interacting threeterminal quantum dot with ferromagnetic leads. The dot is operated as a beam splitter: one contact acts as source and the other two as drains. Our main finding is that sufficiently polarized contacts can lead to a dynamical spin blockade on the dot, i.e., a spin-dependent bunching of tunneling events not present in the paramagnetic case. A striking consequence of this spin blockade is the FIG. 1: Current-voltage characteristic of a quantum dot connected to three ferromagnetic leads i ∈ {1, 2, 3}, with respective polarizations Pi, throu...