  Born's rule, one of the cornerstones of quantum mechanics, relates detection
probabilities to the modulus square of the wave function. Single-particle
interference is accordingly limited to pairs of quantum paths and higher-order
interferences are prohibited. Deviations from Born's law have been quantified
via the Sorkin parameter which is proportional to the third-order term. We here
extend this formalism to many-particle interferences and find that they exhibit
a much richer structure. We demonstrate, in particular, that all interference
terms of order $(2M+1)$ and greater vanish for $M$ particles. We further
introduce a family of many-particle Sorkin parameters and show that they are
exponentially more sensitive to deviations from Born's rule than their
single-particle counterpart.
