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Result on the locations of the tricritical points of $N_f=2$ lattice QCD withimaginary chemical potential is presented. Simulations are carried out withSymanzik improved gauge action and Asqtad fermion action. With imaginarychemical potential $i\mu_I=i\pi T$, previous studies show that theRoberge-Weiss (RW) transition endpoints are triple points at both large andsmall quark masses, and second order transition points at intermediate quarkmasses. The triple and second order endpoints are separated by two tricriticalones. Our simulations are carried out at 7 values of quark mass $am$ rangingfrom 0.024 to 0.070 on lattice volume $12^3\times 4, 16^3\times 4,\,20^3\times4$. The susceptibility and Binder cumulant of the imaginary part ofPolyakov loop are employed to determine the nature of RW transition endpoints.The simulations suggest that the two tricritical points are within the range$0.024-0.026$ and $0.040-0.050$, respectively.

Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks