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PreprintCC BY 4.0arXiv

On-shell Mass Renormalisation and RG-improved Effective Potential in Vector-like Lepton Models

  • Gregor Daberstiel
  • Kilian Möhling
  • Dominik Stöckinger
  • Hyejung Stöckinger-Kim
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Abstract

We discuss the on-shell mass renormalisation in a class of six vector-like lepton (VLL) extensions of the Standard Model with seesaw-like contributions to the SM lepton masses. The schemes absorb large radiative corrections to the SM lepton masses arising from mixing between the SM and VLLs with up to 5×5 mixing matrices and allows for efficient computation of observables and the low-scale MS̅ values of model parameters. We determine and solve the redundancy-free 2-loop renormalisation-group (RG) equations, compute the RG-improved effective potential and study the vacuum instability scales of each of the VLL models. We find rich phase behaviour and parameter regions that show instability scales as low as 105 GeV as well as regions where the one-loop corrections to the input parameters can lead to a stable vacuum.

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Cite

BibTeXRIS
BibTeX
@misc{daberstiel2026onshell,
  title = {{On-shell Mass Renormalisation and RG-improved Effective Potential in Vector-like Lepton Models}},
  author = {Gregor Daberstiel and Kilian Möhling and Dominik Stöckinger and Hyejung Stöckinger-Kim},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37541},
  eprint = {2610.37541},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37541},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On-shell Mass Renormalisation and RG-improved Effective Potential in Vector-like Lepton Models
AU  - Gregor Daberstiel
AU  - Kilian Möhling
AU  - Dominik Stöckinger
AU  - Hyejung Stöckinger-Kim
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37541
UR  - https://arxiv.org/abs/2610.37541
AB  - We discuss the on-shell mass renormalisation in a class of six vector-like lepton (VLL) extensions of the Standard Model with seesaw-like contributions to the SM lepton masses. The schemes absorb large radiative corrections to the SM lepton masses arising from mixing between the SM and VLLs with up to 5×5 mixing matrices and allows for efficient computation of observables and the low-scale MS̅ values of model parameters. We determine and solve the redundancy-free 2-loop renormalisation-group (RG) equations, compute the RG-improved effective potential and study the vacuum instability scales of each of the VLL models. We find rich phase behaviour and parameter regions that show instability scales as low as 10^5 GeV as well as regions where the one-loop corrections to the input parameters can lead to a stable vacuum.
ER  -