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We discuss the methodology of quantum Monte Carlo calculations of theeffective mass based on the static self energy, $\Sigma(k,0)$. We then usevariational Monte Carlo calculations of $\Sigma(k,0)$ of the homogeneouselectron gas at various densities to obtain results very close to perturbative$G_0 W_0$ calculations for values of the density parameter $1 \le r_s \le 10$.The obtained values for the effective mass are close to diagrammatic MonteCarlo results and disagree with previous quantum Monte Carlo calculations basedon a heuristic mapping of excitation energies to those of an ideal gas.

Static self energy and effective mass of the homogeneous electron gas from Quantum Monte Carlo calculations