Including a multiplicative anomaly or using the Heat Kernel method makes the one-loop effective potential in the Fermi gauge independent of the gauge parameter and improves its infrared behaviour, also at finite temperature.
Sher, Electroweak Higgs Potentials and Vacuum Stability , Phys
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Gauge Choices, Infrared Pitfalls, and Thermal Effects in Effective Potentials
Including a multiplicative anomaly or using the Heat Kernel method makes the one-loop effective potential in the Fermi gauge independent of the gauge parameter and improves its infrared behaviour, also at finite temperature.