Interpolating bremsstrahlung function in ABJM model

In ABJM theory, enriched RG flows between circular 1 = 6 BPS bosonic and 1 = 2 BPS fermionic Wilson loops have been introduced in L. Castiglioni et al. [L. Castiglioni, S. Penati, M. Tenser, and D. Trancanelli, Interpolating Wilson loops and enriched RG flows, J. High Energy Phys. 08 (2023) 106.]. These flows are triggered by deformations corresponding to parametric 1 = 6 BPS fermionic loops. In this paper, we revisit the study of these operators, but instead of circular contours, we consider an interpolating cusped line and a latitude and study their RG flow in perturbation theory. This allows for the definition of a bremsstrahlung function away from fixed points. We generalize to this case the known cusp/latitude correspondence that relates the bremsstrahlung function to a latitude Wilson loop. We find that away from the conformal fixed points the ordinary identity is broken by the conformal anomaly in a controlled way. From a defect perspective, the breaking of the correspondence can be traced back to the appearance of an anomalous dimension for fermionic operators localized on the defect. As a by-product, we provide a brand new result for the two -loop cusp anomalous dimension of the 1 = 6 BPS fermionic and the 1 = 6 BPS bosonic Wilson lines.