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We revise the mass estimate of the Local Group (LG) when Dark Energy (in theform of the Cosmological Constant) is incorporated into the Timing Argument(TA) mass estimator for the Local Group (LG). Assuming the age of the Universeand the Cosmological Constant according to the recent values from the PlanckCMB experiment, we find the mass of the LG to be M_TAL = (4.73 +- 1.03) x10^{12} M_sun, which is 13% higher than the classical TA mass estimate. Thispartly explains the discrepancy between earlier results from LCDM simulationsand the classical TA. When a similar analysis is performed on 16 LG-like galaxypairs from the CLUES simulations, we find that the scatter in the ratio of thevirial to the TA estimated mass is given by M_vir/M_TAL = 1.04 +-0.16. Applyingit to the LG mass estimation we find a calibrated M_vir = (4.92 +- 1.08 (obs)+- 0.79 (sys)) x 10^{12} M_sun.

Weighing the Local Group in the Presence of Dark Energy