Two-loop electroweak threshold corrections in the Standard Model

Abstract

We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the $\overline{\mathrm{MS}}$ scheme at full order $\mathcal{O}({\alpha }^2)$ in the Standard Model. These enter as threshold corrections the renormalization group analyses underlying, e.g., the investigation of the vacuum stability. To ensure the gauge invariance of the parameters, in particular of the $\overline{\mathrm{MS}}$ masses, we work in $R_{\xi }$ gauge and systematically include tadpole contributions. We also consider the gaugeless-limit approximation and compare it with the full two-loop electroweak calculation.

33 pages, 1 figure, matches journal publication

References in corpus (49)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Higgs boson mass and new physics
• The three loop relation between the \bar {MS} and the pole quark masses
• Connection between Feynman integrals having different values of the space-time dimension
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• QCD Decoupling at Four Loops
• Four-Loop Decoupling Relations for the Strong Coupling
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• The Standard Model Effective Potential at Two Loops
• Quark mass relations to four-loop order
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Two-loop Renormalization Group Equations in the Standard Model
• Gauge Coupling Beta Functions in the Standard Model to Three Loops
• TSIL: a program for the calculation of two-loop self-energy integrals
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• Two-loop QCD corrections of the massive fermion propagator
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Yukawa coupling beta-functions in the Standard Model at three loops
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Higgs self-coupling beta-function in the Standard Model at three loops
• On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
• Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory
• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Calculation of the QED Coupling alpha (M_Z) in the Modified Minimal-Subtraction Scheme
• Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• O(αα_s) correction to the pole mass of the t-quark within the Standard Model
• Bosonic Corrections to $\Delta r$ at the Two Loop Level
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
• Two-loop O(as^2) MSSM corrections to the pole masses of heavy quarks
• Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
• Higgs boson mass in the Standard Model at two-loop order and beyond
• The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops
• Full two-loop electroweak corrections to the pole masses of gauge bosons
• Relation between bottom-quark MS-bar Yukawa coupling and pole mass
• All-order renormalization of propagator matrix for fermionic system with flavor mixing
• Renormalization in general theories with inter-generation mixing
• Propagator mixing renormalization for Majorana fermions
• Complete O(N_f alpha^2) Weak Contributions to the Muon Lifetime

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