Z boson pole mass at two-loop order in the pure MS-bar scheme

Abstract

I obtain the complex pole squared mass of the Z boson at full two-loop order in the Standard Model in the pure MS-bar renormalization scheme. The input parameters are the running gauge couplings, the top-quark Yukawa coupling, the Higgs self-coupling, and the vacuum expectation value that minimizes the Landau gauge effective potential. The effects of non-zero Goldstone boson mass are resummed. Within a reasonable range of renormalization scale choices, the scale dependence of the computed pole mass is found to be comparable to the current experimental uncertainty, but the true theoretical error is likely somewhat larger.

15 pages. arXiv admin note: text overlap with arXiv:1503.03782

References in corpus (10)

• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Two-loop electroweak threshold corrections in the Standard Model
• Higgs boson mass in the Standard Model at two-loop order and beyond
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme

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