Pole- versus MS-mass definitions in the electroweak theory

Abstract

Two different two-loop relations between the pole- and the MS-mass of the top quark have been derived in the literature which were based on different treatments of the tadpole diagrams. In addition, the limit M_W^2/m_t^2 \to 0 was employed in one of the calculations. It is shown that, after appropriate transformations, the results of the two calculations are in perfect agreement. Furthermore we demonstrate that the inclusion of the non-vanishing mass of the W-boson leads to small modifications only.

6 pages, 6 figures; references added, figure 1 changed

References in corpus (7)

• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• MATAD: a program package for the computation of MAssive TADpoles
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Three Loop Top Quark Contributions to the rho Parameter
• On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
• Three-Loop Leading Top Mass Contributions to the rho Parameter
• O(αα_s) correction to the pole mass of the t-quark within the Standard Model

Cited by in corpus (21)

• Higgs boson mass and new physics
• Quark mass relations to four-loop order
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Four-Loop QCD Corrections to the Rho Parameter
• On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
• Calibration of the Top-Quark Monte-Carlo Mass
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Top-quark pole mass in the tadpole-free MS-bar scheme
• Two-Loop $\mathcal{O}(\alpha {\alpha }_s)$ Corrections to the On-Shell Fermion Propagator in the Standard Model
• The QCD improved electroweak parameter $\rho$
• The Standard Model at 200 GeV
• On the two-loop decoupling corrections to tau-lepton and b-quark running masses in the MSSM
• O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Propagator mixing renormalization for Majorana fermions
• The Hierarchy Problem and the Cosmological Constant Problem Revisited -- A new view on the SM of particle physics
• Determination of the top-quark $\overline{\mathrm{MS}}$ running mass via its perturbative relation to the on-shell mass with the help of principle of maximum conformality
• Precise determination of the top-quark on-shell mass $M_t$ via its scale-invariant perturbative relation to the top-quark $\overline{\mathrm{MS}}$ mass ${\overline{m}}_t({\overline{m}}_t)$
• Precise determination of the bottom-quark on-shell mass using its four-loop relation to the $\overline{\mathrm{MS}}$-scheme running mass
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
• Complex-mass definition and the structure of unstable particle's propagator