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A microlensing event is mainly used to search for free-floating planets(FFPs). To estimate the FFP mass and distance via the microlensing effect, amicrolensing parallax is one of the key parameters. A short duration of FFPmicrolensing is difficult to yield a parallax by the observer's motion at arecognisable level, so the FFP microlensing parallax is expected on thesimultaneous observation by multiple telescopes. Here, we approach the FFPdetection by considering a variation of FFP mass functions and the event rateof accurately measured microlensing parallax. We used our FFP microlensingsimulator assuming a parallax observation between upcoming space-based missions(Euclid and Roman) with full kinematics. As a result, we confirmed that theevent rate of accurately measured microlensing parallax (i.e. within a factorof 2 uncertainty) does not simply follow the number of FFPs at a given mass butthe ratio of the FFP population per star. This is because the population ratiodetermines the optical depth for a given mass and potential sources. Inaddition, we found that the probability of the event that can estimate the FFPmass and distance within a factor of 2 is not so high: approx. 40% ofEarth-mass, 16% of Neptune-mass, and 4% of Jupiter-mass FFP events under ourcriteria. The probability can be improved by some technical approach such asusing high cadence and observation in parallax more than two observers.

the astronomical journal

The impact of the free-floating planet (FFP) mass function on the event  rate for the accurate microlensing parallax determination: application to  Euclid and Roman parallax observation