Remark on the one-loop Z form factors for LFV Z-penguin diagrams in SUSY

Abstract

In this note we shortly comment on our analytical results in PRD73(2006)055003 for the $Z$ boson one-loop form factors contributing to the Lepton Flavour Violating $Z$ penguin diagrams in SUSY. In a recent communication [arXiv:1312.5318v1] it has been pointed out a mistake in our formulas for the chargino contribution to the $Z$-form factor, $F_L^{(c)}$, and these authors have included corrections to our results in a way that we do not agree with. We wish to clarify here what are the correct results for these form factors.