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

TL;DR

This paper clarifies the correct analytical results for one-loop Z boson form factors in SUSY related to lepton flavor violation, addressing and correcting previous inaccuracies in the chargino contribution formulas.

Contribution

It provides the corrected formulas for the Z boson form factors in SUSY, specifically addressing errors in prior work and clarifying the analytical results.

Findings

Corrected the formulas for chargino contributions to Z form factors.

Clarified the analytical expressions for LFV Z-penguin diagrams in SUSY.

Resolved discrepancies pointed out in recent communications.

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.