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In the absence of a genuine solution to the sign problem, lattice studies atimaginary quark chemical potential are an important tool to constrain the QCDphase diagram. We calculate the values of the tricritical quark masses in theRoberge-Weiss plane, $\mu=\imath\pi T/3$, which separate mass regions withchiral and deconfinement phase transitions from the intermediate region, forQCD with $N_\text{f}=2$ unimproved staggered quarks on $N_\tau=6$ lattices. Aquantitative measure for the quality of finite size scaling plots is developed,which significantly reduces the subjective judgement required for fitting. Weobserve that larger aspect ratios are necessary to unambiguously determine theorder of the transition than at $\mu=0$. Comparing with previous results from$N_\tau=4$ we find a $\sim50$% reduction in the light tricritical pion mass.The heavy tricritical pion mass stays roughly the same, but is too heavy to beresolved on $N_\tau=6$ lattices and thus equally afflicted with cut-offeffects. Further comparison with other discretizations suggests that currentcut-off effects on the light critical masses are likely to be larger than$\sim100$%, implying a drastic shrinking of the chiral first-order region topossibly zero.

Finite size and cut-off effects on the Roberge-Weiss transition in $N_\text{f}=2$ QCD with Staggered fermions