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In ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives weobtain the four-loop beta function using a method based on calculating vacuumsupergraphs. For this purpose we use a special C++ program which obtaincontributions to the $\beta$-function from supergraphs without external legs inthe form of integrals of double total derivatives. After that the result wascompared with the three-loop anomalous dimension calculated earlier. Weexplicitly check the NSVZ relation in this order.

The four-loop $\beta$-function from vacuum supergraphs and the NSVZ relation for ${\cal N}=1$ SQED regularized by higher derivatives