Hybrid Partial Dressing: Correct Effective Potentials at All Temperatures

@misc{berthiaume2026hybrid,
  title = {{Hybrid Partial Dressing: Correct Effective Potentials at All Temperatures}},
  author = {Raphaël Berthiaume and David Curtin and Michael Luke and Andrija Rasovic and Jyotirmoy Roy},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.30366},
  eprint = {2609.30366},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30366},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Hybrid Partial Dressing: Correct Effective Potentials at All Temperatures
AU  - Raphaël Berthiaume
AU  - David Curtin
AU  - Michael Luke
AU  - Andrija Rasovic
AU  - Jyotirmoy Roy
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.30366
UR  - https://arxiv.org/abs/2609.30366
AB  - We develop Hybrid Partial Dressing (HPD), a simple diagrammatic resummation scheme for finite-temperature effective potentials in scalar field theory which is valid at all temperatures. HPD improves on earlier resummation schemes such as Daisy Resummation and Partial Dressing by being two-loop exact at all temperatures and free of the overlapping momentum problem. Renormalization group improvement is straightforward to implement. We illustrate the scheme in multi-scalar theories with a spontaneously broken ℤ_2 symmetry, and compare it against existing approaches, showing in particular that it reproduces the two-loop Dimensional Reduction (DR) potential exactly in the high-temperature regime where DR applies, while remaining valid at all temperatures. This makes HPD suitable for the general study of strong first order phase transitions beyond the Standard Model, as we demonstrate through gravitational wave predictions from HPD and its RG-improved version, RGHPD.
ER  -