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QCD with imaginary chemical potential is free of the sign problem andexhibits a rich phase structure constraining the phase diagram at real chemicalpotential. We simulate the critical endpoint of the Roberge-Weiss (RW)transition at imaginary chemical potential for $N_\text{f}=2$ QCD on $N_\tau=6$lattices with standard Wilson fermions. As found on coarser lattices, the RWendpoint is a triple point connecting the deconfinement/chiral transitions inthe heavy/light quark mass regions and changes to a second-order endpoint forintermediate masses. These regimes are separated by two tricritical values ofthe quark mass, which we determine by extracting the critical exponent $\nu$from a systematic finite size scaling analysis of the Binder cumulant of theimaginary part of the Polyakov loop. We are able to explain a previouslyobserved finite size effect afflicting the scaling of the Binder cumulant inthe regime of three-phase coexistence. Compared to $N_\tau=4$ lattices, thetricritical masses are shifted towards smaller values. Exploratory results on$N_\tau=8$ as well as comparison with staggered simulations suggest thatsignificantly finer lattices are needed before a continuum extrapolationbecomes feasible.

Roberge-Weiss transition in $N_\text{f}=2$ QCD with Wilson fermions and $N_\tau=6$