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The cold dark matter (CDM) scenario predicts that galactic halos should hosta huge amount of subhalos possibly lighter than planets, depending on thenature of dark matter. Predicting their abundance and distribution hasimportant implications for dark matter searches and searches for subhalosthemselves, as they could provide a decisive test of the CDM paradigm. A majordifficulty in subhalo population model building is to account for thegravitational stripping induced by baryons, which strongly impact on theoverall dynamics inside galaxies. In this paper, we focus on these "baryonic"tides from analytical perspectives, summarizing previous work on galactic diskshocking, and thoroughly revisiting the impact of individual encounters withstars. For the latter, we go beyond the reference calculation of Gerhard andFall (1983) to deal with penetrative encounters, and provide new analyticalresults. Based upon a full statistical analysis of subhalo energy change duringmultiple stellar encounters possibly occurring during disk crossing, we showthat subhalos lighter than $\sim 1$~M$_\odot$ are very efficiently pruned bystellar encounters. This modifies their mass function in a stellar environment.In contrast, disk shocking is more efficient at pruning massive subhalos. Inshort, if reasonably resilient, subhalos surviving disk crossing have lost alltheir mass but an inner cuspy part, with a tidal mass function stronglydeparting from the cosmological one. If fragile, stellar encounters make theirnumber density drop by an additional order of magnitude with respect todisk-shocking effects only (e.g., at the solar position in the Milky Way). Ourresults can be incorporated to any analytical or numerical subhalo populationmodel, as we show for illustration. This study complements those based oncosmological simulations, which cannot resolve dark matter subhalos on suchsmall scales.

Tidal stripping of dark matter subhalos by baryons from analytical perspectives: disk shocking and encounters with stars