Differential core mass function (ΔN/ΔlogM) of the 1768starless cores (green histogram), 804 candidate prestellar cores (light blue histogram), and 490 robust prestellar cores (dark blue histogram) identified with Herschel in the whole Orion B field. The error bars correspond to statistical uncertainties, and the vertical dashed line shows the completeness limit of the prestellar sample at ~ 0.4 M_⊙. A lognormal fit to the CMF of candidate prestellar cores (solid red curve), as well as a power-law fit to thehigh-mass end of the CMF (black solid line) are superimposed. The lognormal fit peaks at 0.5 M_⊙, and has a standard deviation of ~0.52 in log₁₀ M. The power-law fit has a slope of –1.27 ± 0.24 (compared to a Salpeter slope of − 1.35 in this format). The IMF of single stars (corrected for binaries – e.g., Kroupa 2001), the IMF of multiple systems (e.g., Chabrier 2005), and the typical mass distribution of CO clumps (e.g., Kramer et al. 1998) are also shown for comparison.