Test whether restricting the fit to a locally flat-mass region reconciles the results with soliton fits

Determine whether restricting the force-balance regression for each dwarf spheroidal galaxy to the flattest sub-region of its local equilibrium-mass profile narrows the discrepancy with soliton-fit-based fuzzy-dark-matter constraints.

Background

The local equilibrium-mass estimator varies strongly with radius rather than forming a flat plateau, while the global regression averages over a selected radial window. The authors interpret the resulting mass as an effective window-averaged equilibrium mass rather than as a directly confirmed fundamental boson mass.

The paper notes a substantial discrepancy between its inferred masses and soliton-fit results, and proposes testing whether selecting a galaxy-specific region where the local estimator is flattest can reduce that discrepancy.

References

A direct test, which we defer to future work together with the residual-weighted statistic proposed in Sec.~\ref{sec:robustness}, is to restrict the regression to the flattest sub-region of $m_{\rm local}(r)$ identified on a per-galaxy basis and check whether this narrows the gap with the soliton-fit-based results of Chen et al..

— Hydrostatic Equilibrium Constraints on the Fuzzy Dark Matter Mass from Dwarf Spheroidals: Method, Systematics, and Robustness  (2610.21722 - Mitra et al., 15 Oct 2026) in Section 7, first paragraph