Pole mass of the W boson at two-loop order in the pure MS-bar scheme

Abstract

I provide a calculation at full two-loop order of the complex pole squared mass of the W boson in the Standard Model in the pure MS-bar renormalization scheme, with Goldstone boson mass effects resummed. This approach is an alternative to earlier ones that use on-shell or hybrid renormalization schemes. The renormalization scale dependence of the real and imaginary parts of the resulting pole mass are studied. Both deviate by about $\pm 4$ MeV from their median values as the renormalization scale is varied from 50 GeV to 200 GeV, but the theory error is likely larger. A surprising feature of this scheme is that the 2-loop QCD correction has a larger scale-dependence, but a smaller magnitude, than the 2-loop non-QCD correction, unless the renormalization scale is chosen very far from the top-quark mass.

17 pages. v2: benchmark input parameters changed, reference added

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Cited by in corpus (10)

• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Effective potential at three loops
• The Standard Model at 200 GeV
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Solving the Wrong Hierarchy Problem
• Three-loop QCD corrections to the electroweak boson masses
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case
• Evaluation of three-loop self-energy master integrals with four or five propagators
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme