The Standard Model Effective Potential at Two Loops

Abstract

We calculate the standard model effective potential to two loops using minimal subtraction, and use the result to deduce the two-loop beta-functions for the scalar mass and quartic self-interaction.

17 pages, Plain TeX. The published version of this paper and unfortunately also the erratum contain a number of typographical errors and omissions. Version (v2) corrects an error in Eq. 6.17. We thank Peter Arnold, Steve Martin and Mingxing Luo for their assistance, Nucl.Phys. B387 (1992) 373-390; erratum ibid B504 (1997) 551-552

References in corpus (1)

• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory

Cited by in corpus (219)

• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Standard Model Higgs boson mass from inflation: two loop analysis
• Running Inflation in the Standard Model
• Standard Model Higgs boson mass from inflation
• The effective potential and the renormalisation group
• Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
• Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
• Two-Loop Radiative Corrections to the Lightest Higgs Boson Mass in the Minimal Supersymmetric Model
• Analytic treatment of the two loop equal mass sunrise graph
• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• Complete Two-loop Dominant Corrections to the Mass of the Lightest CP-even Higgs Boson in the Minimal Supersymmetric Standard Model
• Standard Model stability bounds for new physics within LHC reach
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
• On the two-loop Yukawa corrections to the MSSM Higgs boson masses at large tan(beta)
• Two-loop Renormalization Group Equations in the Standard Model
• Higgs boson, renormalization group, and naturalness in cosmology
• Leading Log Solution for Inflationary Yukawa
• Two-Loop Effective Potential Calculation of the Lightest CP-Even Higgs-Boson Mass in the MSSM
• On the radiative corrections to the neutral Higgs boson masses in the NMSSM
• Gauge Coupling Beta Functions in the Standard Model to Three Loops
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• TSIL: a program for the calculation of two-loop self-energy integrals
• Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability
• Two-loop effective potential for the minimal supersymmetric standard model
• Scale Invariant Instantons and the Complete Lifetime of the Standard Model
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Evaluation of two-loop self-energy basis integrals using differential equations
• Bare Higgs mass at Planck scale
• Dark Matter as the signal of Grand Unification
• Consistent Use of Effective Potentials
• Two-loop corrections to Radiative Electroweak Symmetry Breaking in the MSSM
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings
• Three-gluon vertex in arbitrary gauge and dimension
• A geometrical angle on Feynman integrals
• 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
• Radiative Corrections to the Higgs Boson Mass for a Hierarchical Stop Spectrum
• Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• Two-loop stability of a complex singlet extended Standard Model
• A study of electroweak vacuum metastability with a singlet scalar dark matter
• A magic connection between massive and massless diagrams
• Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis
• Bounds on scalar masses in two Higgs doublet models
• Two-loop self-energy master integrals on shell
• Constraints on inert dark matter from metastability of the electroweak vacuum
• Standard Model Vacuum Stability and Weyl Consistency Conditions
• Higgs Vacuum Stability, Neutrino Mass, and Dark Matter
• Higgs inflation at the hilltop
• On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors
• On the gauge dependence of the Standard Model vacuum instability scale
• Manifestly scale-invariant regularization and quantum effective operators
• Thermal phase transition with full 2-loop effective potential
• Higgs Inflation at NNLO after the Boson Discovery
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Higgs vacuum metastability in primordial inflation, preheating, and reheating
• Two-loop electroweak threshold corrections in the Standard Model
• T_c for trapped dilute Bose gases: a second-order result
• Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices
• The Effective Potential, the Renormalisation Group and Vacuum Stability
• Higgs boson mass in the Standard Model at two-loop order and beyond
• Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level
• Threshold expansion of the sunset diagram
• Evaluation of the general 3-loop vacuum Feynman integral
• Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons
• Type-II Seesaw Scalar Triplet Model at a 100 TeV $pp$ Collider: Discovery and Higgs Portal Coupling Determination
• Higgs Mass Bounds, Type II SeeSaw and LHC
• The effective potential in the presence of several mass scales
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• Action principles, restoration of BRS symmetry and the renormalization group equation for chiral non-Abelian gauge theories in dimensional renormalization with a non-anticommuting ${\gamma }_5$
• Hypergeometric representation of the two-loop equal mass sunrise diagram
• The $\epsilon$-expansion and the electroweak phase transition
• Exploring the Hyperchargeless Higgs Triplet Model up to the Planck Scale
• Four-loop Standard Model effective potential at leading order in QCD
• Two loop correction to the Gribov mass gap equation in Landau gauge QCD
• Two-loop scale-invariant scalar potential and quantum effective operators
• Avoiding the Goldstone Boson Catastrophe in general renormalisable field theories at two loops
• Leading two-loop corrections to the Higgs boson masses in SUSY models with Dirac gauginos
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• Zero-threshold expansion of two-loop self-energy diagrams
• Effective potential at three loops
• Exotic Leptons: Higgs, Flavor and Collider Phenomenology
• Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams
• Radiative Corrections to Triple Higgs Coupling and Electroweak Phase Transition: Beyond One-loop Analysis
• Higgs Boson Mass Bounds in the Standard Model with Type III and Type I Seesaw
• The swampland conjecture and the Higgs expectation value
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Higgs vacuum (in)stability during inflation: the dangerous relevance of de Sitter departure and Planck-suppressed operators
• New Fermions at the LHC and Mass of the Higgs Boson
• Electroweak Phase Transition and Gravitational Waves in the Type-II Seesaw Model
• Stationary configurations of the Standard Model Higgs potential: electroweak stability and rising inflection point
• Two-loop Analysis of Axialvector Current Propagators in Chiral Perturbation Theory
• Vacuum Stability in the Standard Model
• Ruling out Critical Higgs Inflation?
• Cosmological Perturbations from the Standard Model Higgs
• Symmetry-Improved 2PI Approach to the Goldstone-Boson IR Problem of the SM Effective Potential
• On the effective action for scalars in a general manifold to any loop order
• Two-loop analysis of classically scale-invariant models with extended Higgs sectors
• Two-loop effective potential for generalized gauge fixing
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme
• Numerical multi-loop integrals and applications
• Constraints on TeV scale Majorana neutrino phenomenology from the Vacuum Stability of the Higgs
• Z boson pole mass at two-loop order in the pure MS-bar scheme
• Top-quark pole mass in the tadpole-free MS-bar scheme
• Two-loop effective potential in quantum field theory in curved space-time
• Axion Inflation, Proton Decay and Leptogenesis in $SU(5)\times U(1{)}_{PQ}$
• Three-loop vacuum integrals with arbitrary masses
• Conformal Standard Model with an extended scalar sector
• Functional Matching and Renormalization Group Equations at Two-Loop Order
• Two loop effective kaehler potential of (non-)renormalizable supersymmetric models
• Higgs Boson Mass From Gauge-Higgs Unification
• MSSM Higgs Self-Couplings: Two-Loop O(alpha_t alpha_s) Corrections
• The Curci-Ferrari model with massive quarks at two loops
• Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions
• Functional Renormalization and $\overline{\text{MS}}$
• Renormalization-Group Flows and Fixed Points in Yukawa Theories
• Non-Gaussianities from the Standard Model Higgs
• Asymptotic Scale Invariance and its Consequences
• Resummation of Goldstone boson contributions to the MSSM effective potential
• On the Question of an Ultraviolet Zero of the Beta Function of the $\lambda ({\vec{\varphi }}^2{)}_4^2$ Theory
• Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops
• Can the Renormalization Group Improved Effective Potential be used to estimate the Higgs Mass in the Conformal Limit of the Standard Model?
• Two loop MSbar renormalization of the Curci-Ferrari model
• A Unique Determination of the Effective Potential in Terms of Renormalization Group Functions
• Renormalization Group Improvement of the Effective Potential: an EFT Approach
• Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD
• Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
• 125 GeV Higgs, Type III Seesaw and Gauge-Higgs Unification
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• Novel loop-diagrammatic approach to QCD $\theta$ parameter and application to the left-right model
• Two-Loop Neutrino Masses and the Solar Neutrino Problem
• In search of a UV completion of the Standard Model - 378.000 models that don't work
• The Order $\mathcal{O}({\alpha }_t{\alpha }_s)$ Corrections to the Trilinear Higgs Self-Couplings in the Complex NMSSM
• A New Gauge for Computing Effective Potentials in Spontaneously Broken Gauge Theories
• Window For Higgs Boson Mass From Gauge-Higgs Unification
• TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
• Full two-loop electroweak corrections to the pole masses of gauge bosons
• Two Loop R-Symmetry Breaking
• Refined gluino and squark pole masses beyond leading order
• Higher dimensional higher derivative ${\varphi }^4$ theory
• Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation
• Fermion Dark Matter in Gauge-Higgs Unification
• Cosmological Constraints on the Higgs Boson Mass
• Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations
• Charge Renormalization due to Graviton Loops
• Resummation of Goldstone Infrared Divergences: A Proof to All Orders
• Charged lepton flavour change and Non-Standard neutrino Interactions
• Parity-Violating Møller Scattering at NNLO: Closed Fermion Loops
• Discrepancy between cosmological and electroweak observables in Higgs Inflation
• The Standard Model at 200 GeV
• Charge and color breaking constraints in the Minimal Supersymmetric Standard Model associated with the bottom Yukawa coupling
• Fermionic Minimal Dark Matter in 5D Gauge-Higgs Unification
• Scheme dependence of asymptotically free solutions
• Cosmological Constant in a Model with Superstring-Inspired E_6 Unification and Shadow Theta-Particles
• The Trilinear Higgs Self-Couplings at $\mathcal{O}({\alpha }_t^2)$ in the CP-Violating NMSSM
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Unparticle Physics And Gauge Coupling Unification
• Hierarchy problem, gauge coupling unification at the Planck scale, and vacuum stability
• Solving the Wrong Hierarchy Problem
• Three-loop QCD corrections to the electroweak boson masses
• The Hierarchy Problem and the Cosmological Constant Problem Revisited -- A new view on the SM of particle physics
• Eternal Inflation and Reheating in the Presence of the Standard Model Higgs Field
• Closer look at the matching condition for radiative QCD $\theta$ parameter
• Counting of States in Higgs Theories
• Asymptotic freedom in certain $SO(N)$ and $SU(N)$ models
• Mirror World with Broken Mirror Parity, E(6) Unification and Cosmology
• Two loop MSbar Gribov mass gap equation with massive quarks
• Calculation of a Class of Three-Loop Vacuum Diagrams with Two Different Mass Values
• Power suppression from disparate mass scales in effective scalar field theories of inflation and quintessence
• On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?
• Fun with the Abelian Higgs Model
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Leading Two-loop corrections to the mass of Higgs boson in the High scale Dirac gaugino supersymmetry
• $\eps$ expansion analysis of very weak first-order transitions in the cubic anisotropy model: Part I
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case
• GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
• Low momentum propagators at two loops in gluon mass model
• The KSVZ Axion Model with Quasi-Degenerate Minima: A Unified Model for Dark Matter and Dark Energy
• SO(10) Grand Unification with Minimal Dark Matter and Color Octet Scalars
• Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
• Seesaw scales and the steps from the Standard Model towards superstring-inspired flipped E_6
• Three-loop effective potential of general scalar theory via differential equations
• Screened massive expansion of Schwinger-Dyson equations
• Alternative Renormalizable Minimal SO(10) GUTs and Data Fitting
• Higgs Boson Mass Bounds in Seesaw Extended Standard Model with Non-Minimal Gravitational Coupling
• Properties of the vacuum expectation values in $R_{\xi }$ and general gauge
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Witten's loop in the minimal flipped $SU(5)$ unification revisited
• Impact of the Electroweak Weinberg Operator on the Electric Dipole Moment of Electron
• Superspace evaluation of the two-loop effective potential for the O'Raifeartaigh model
• An Upper Bound on the Higgs Boson Mass from a Positivity Condition on the Mass Matrix
• Naturalness from runaways in direct mediation
• Evaluation of three-loop self-energy master integrals with four or five propagators
• One-loop results for three-gluon vertex in arbitrary gauge and dimension
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Studies of low-energy effective actions in supersymmetric field theories
• A Model for the Effective Potential of Thermalized Pure SU(Large N) Gauge Theory
• Neutrino masses in RPV models with two pairs of Higgs doublets
• Two-Loop Effective Potential of O(N)-Symmetric Scalar QED in 4-epsilon Dimensions
• Two-loop superfield effective potential for a $\mathcal{N}=2$, $d=3$ supersymmetric quantum electrodynamics with higher derivatives
• Full Three-Loop Electroweak Multiplet Contributions to the Electron Electric Dipole Moment
• Gauge coupling jump and small instantons from a large non-minimal coupling
• An advanced precision analysis of the SM vacuum stability
• Supergraph Approach in a Higher-order LDE Calculation of the Effective Potential for F-type Broken SUSY
• Two loop Kahler potential in beta-deformed N=4 SYM theory
• Two-loop effective potential for general higher-derivative superfield models
• Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory
• SU(2/1) gauge-Higgs unification
• Higgs boson self coupling from two-loop analysis
• GKZ hypergeometric systems of the four-loop vacuum Feynman integrals
• Feasibility Study of Lepton Number Violation in Rare $B$ and $K$ Meson Decays
• Baryogenesis in $SU(2{)}_L$ multiplet models