Determine the halo-to-inner-dark-matter conversion factor

Determine the halo-to-inner-dark-matter conversion factor F_h for TTT J1237327+143535 in order to convert the dark matter mass enclosed within the half-light radius into a total halo mass and to interpret globular-cluster counts as an independent halo-mass constraint.

Background

The paper connects the expected globular-cluster population to the total halo mass through an empirical relation between globular-cluster-system mass and halo mass. Kinematic measurements, however, constrain the dark matter mass only within the half-light radius.

The factor F_h is introduced as the ratio of enclosed dark matter mass to total halo mass and depends on the halo density profile and characteristic scale. Without determining F_h, the predicted globular-cluster population remains an illustrative normalization, and the globular-cluster and stellar-kinematic estimates cannot be compared quantitatively without substantial model dependence.

References

The numerical value in this expression should be viewed only as an illustrative normalization, since F_h has not been determined for TTT J1237327+143535.

— Dark Matter-Baryon Separability Predicts the Dynamics of an Almost-Dark Galaxy  (2609.10661 - Trivedi et al., 9 Sep 2026) in Paragraph beginning “Finally, another interesting connection can be made when one considers globular clusters”