RG Invariance of the Pole Mass in the Minimal Subtraction Scheme

Abstract

We prove the renormalization group(RG) invariance of the pole mass with respect to the RG functions of the minimal subtraction(MS) scheme and illustrate this in case of the the neutral scalar field theory both in the symmetric and in the broken symmetry phase.

References in corpus (6)

• The effective potential and the renormalisation group
• Two-loop QCD corrections of the massive fermion propagator
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• The Perturbative Pole Mass in QCD
• Precise bounds on the Higgs boson mass
• Renormalization Group Evolution of the Effective Potential in the Broken Symmetry Phase

Cited by in corpus (3)

• Properties of the vacuum expectation values in $R_{\xi }$ and general gauge
• On the properties of the vacuum expectation value in $R_{\xi }$ gauge and $\overline{R_{\xi }}$ gauge
• Renormalization Group Invariance of the Pole Mass in the Multi-Higgs system