Top-quark pole mass in the tadpole-free MS-bar scheme

Abstract

The complex pole mass of the top quark is presented at full two-loop order in the Standard Model, augmenting the known four-loop QCD contributions. The input parameters are the MS-bar Yukawa and gauge couplings, the Higgs self-coupling, and the Higgs vacuum expectation value (VEV). Here, the VEV is defined as the minimum of the full effective potential in Landau gauge, so that tadpoles vanish. This is an alternative to earlier results that instead minimize the tree-level potential, resulting in a VEV that is gauge-fixing independent but accompanied by negative powers of the Higgs self-coupling in perturbative expansions. The effects of non-zero Goldstone boson mass are eliminated by resummation. I also study the renormalization scale dependence of the calculated pole mass.

24 pages. v2: references added, no other changes

References in corpus (11)

• Quark mass relations to four-loop order
• Infrared Renormalization Group Flow for Heavy Quark Masses
• Taming Infrared Divergences in the Effective Potential
• Top Mass Measurements from Jets and the Tevatron Top-Quark Mass
• 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
• Two-loop electroweak threshold corrections in the Standard Model
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme
• Precision determination of the top-quark mass

Cited by in corpus (18)

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• Precise Values of Running Quark and Lepton Masses in the Standard Model
• Effective potential at three loops
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Two-loop effective potential for generalized gauge fixing
• On the $b$-quark running mass in QCD and the SM
• The light CP-even MSSM Higgs mass including N${}^3$LO+N${}^3$LL QCD corrections
• Goldstone Equivalence and High Energy Electroweak Physics
• Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation
• The Standard Model at 200 GeV
• Matching relations for decoupling in the Standard Model at two loops and beyond
• 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
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case
• 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 ${\overline{m}}_t({\overline{m}}_t)$
• Evaluation of three-loop self-energy master integrals with four or five propagators
• Higgs Boson Mass Corrections at Three-Loops in the Top-Yukawa Sector of the Standard Model
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme