Application of the Background-Field Method to the electroweak Standard Model

Abstract

Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field Green functions are shown to possess very desirable theoretical properties. The renormalization of the Standard Model in the background-field formalism is studied. A consistent on-shell renormalization procedure retaining the full gauge symmetry is presented. The structure of the counterterms is shown to greatly simplify compared to the conventional formalism. A complete list of Feynman rules for the Standard Model in the background-field method is given for arbitrary values of a quantum gauge parameter including all counterterms necessary for one-loop calculations.

34 pages, LaTeX, BI-TP. 94/50, UWITP 94/03, (LaTeX problem concerning old LaTeX versions eliminated, no further changes)

References in corpus (3)

• Reduction of general two-loop self-energies to standard scalar integrals
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• Supersymmetry Relations Between Contributions To One-Loop Gauge Boson Amplitudes

Cited by in corpus (182)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Two-loop light fermion contribution to Higgs production and decays
• Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC
• Predictions for all processes e^+e^- -> 4 fermions + gamma
• Pinch Technique: Theory and Applications
• Strong and electroweak corrections to the production of Higgs+2jets via weak interactions at the LHC
• Precise predictions for the Higgs-boson decay H -> W W/Z Z -> 4 leptons
• Resonant CP violation induced by particle mixing in transition amplitudes
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• Electroweak radiative corrections to W-boson production at hadron colliders
• Electroweak radiative corrections to e+e- --> WW --> 4fermions in double-pole approximation -- the RACOONWW approach
• Radiative corrections to the semileptonic and hadronic Higgs-boson decays H -> W W/Z Z -> 4 fermions
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• The complex-mass scheme for perturbative calculations with unstable particles
• Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders
• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
• Two-loop electroweak corrections to Higgs production at hadron colliders
• Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with HAWK
• Electroweak Radiative Corrections for Collider Physics
• Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles
• Low-energy effective field theory below the electroweak scale: matching at one loop
• Neutralino Annihilation into Two Photons
• Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model
• GRACE at ONE-LOOP: Automatic calculation of 1-loop diagrams in the electroweak theory with gauge parameter independence checks
• Complete electroweak O(alpha) corrections to charged-current e+e- --> 4fermion processes
• Complete fermionic two-loop results for the M_W-M_Z interdependence
• Precision electroweak calculation of the charged current Drell-Yan process
• The Standard Model effective field theory at work
• On one-loop corrections in the standard model effective field theory; the $\Gamma (h\to \gamma \gamma )$ case
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Higgs decay to two photons at one-loop in the SMEFT
• Results and Techniques of Multi-Loop Calculations
• Practical Algebraic Renormalization
• The fermion-loop scheme for finite-width effects in e^+ e^- annihilation into four fermions
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Radiative Corrections to W^+W^- \to W^+W^- in the Electroweak Standard Model
• Experimental constraints on the coupling of the Higgs boson to electrons
• Precision calculations for the Higgs decays H-->ZZ/WW-->4leptons
• LUSIFER: a LUcid approach to SIx-FERmion production
• Electric charge and magnetic moment of massive neutrino
• Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay
• Gauge-Invariant Resummation Formalism for Two-Point Correlation Functions
• Event Generators for High-Energy Physics Experiments
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• QCD Corrections to Radiative B Decays in the MSSM with Minimal Flavor Violation
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Fermion Mixing Renormalization and Gauge Invariance
• Feynman rules for the rational part of the Electroweak 1-loop amplitudes
• Top Dipole Form Factors and Loop-induced CP-violation in Supersymmetry
• Two-loop electroweak corrections to the Higgs-boson decay H -> gamma gamma
• Renormalization of mixing angles
• The neutrino charge radius is a physical observable
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• The Form Factors of the Gauge-Invariant Three-Gluon Vertex
• Radiative Corrections to ZZ->ZZ in the Electroweak Standard Model
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Electroweak radiative corrections to e+ e- -> nu nubar H
• The $Z$ decay width in the SMEFT: $y_t$ and $\lambda$ corrections at one loop
• Gauge- and Renormalization-Group- Invariant Formulation of the Higgs-Boson Resonance
• The Gauge-Independent QCD Effective Charge
• Four-loop strong coupling beta-function in the Standard Model
• Resonant CP-Violating Scalar--Pseudoscalar Transitions at mu+ mu- Colliders
• NLO electroweak corrections in extended Higgs Sectors with RECOLA2
• Gauge fixing the Standard Model Effective Field Theory
• On the NLO QCD corrections to Higgs production and decay in the MSSM
• 2HDM Higgs-to-Higgs Decays at Next-to-Leading Order
• Precision Calculations in Supersymmetric Theories
• Two-Loop Renormalization in the Standard Model Part I: Prolegomena
• Renormalization schemes for the Two-Higgs-Doublet Model and applications to h -> WW/ZZ -> 4fermions
• Integrating out the Standard Higgs Field in the Path Integral
• Electron EDM in the complex two-Higgs doublet model
• Two-loop renormalization of the electric charge in the Standard Model
• Integrating out heavy fields in the path integral using the background-field method: general formalism
• Deriving Non-decoupling Effects of Heavy Fields from the Path Integral: a Heavy Higgs Field in an SU(2) Gauge Theory
• Gauge and Scheme Dependence of Mixing Matrix Renormalization
• The Algebraic Method
• On the Landau Background Gauge Fixing and the IR Properties of YM Green Functions
• Electroweak radiative corrections to e+ e- -> t anti-t H
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• 2HDECAY - A program for the Calculation of Electroweak One-Loop Corrections to Higgs Decays in the Two-Higgs-Doublet Model Including State-of-the-Art QCD Corrections
• Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation
• Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem
• An event generator for same-sign W-boson scattering at the LHC including electroweak corrections
• Electroweak Effective Charges and their relation to Physical Cross Sections
• Radiative corrections to Higgs-boson production in association with top-quark pairs at e+ e- colliders
• Algebraic Aspects of the Background Field Method
• On the determination of the trilinear boson couplings in e^-e^+ --> lepton anti-neutrino quark anti-quark at LEPII
• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• Ward Identities for the Standard Model Effective Field Theory
• Consistent higher order $\sigma (\mathcal{G}\mathcal{G}\to h)$, $\Gamma (h\to \mathcal{G}\mathcal{G})$ and $\Gamma (h\to \gamma \gamma )$ in geoSMEFT
• Soft and Collinear Functions for the Standard Model
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• AntiBRST symmetry and Background Field Method
• The Abelian Antighost Equation for The Standard Model in the `t Hooft-Background Gauge
• Four-fermion simulation at LEP2 in DELPHI
• Scale- and gauge-independent mixing angles for scalar particles
• Minkowski solution of Dyson-Schwinger equations in momentum subtraction scheme
• Two-Loop Renormalization in the Standard Model Part II: Renormalization Procedures and Computational Techniques
• Higgs-mass dependence of two-loop corrections to Delta r
• SU_L(2) X U_Y(1)-invariant description of the bilepton contribution to the WWV vertex in the minimal 331 model
• Electroweak pinch technique to all orders
• Production Cross-sections for Unstable Particles
• Electric dipole moment constraints on CP-violating light-quark Yukawas
• Bilepton effects on the WWV^* vertex in the 331 model with right-handed neutrinos via a SU_L(2)XU_Y(1) covariant quantization scheme
• Renormalization Group Effects in Dark Matter Interactions
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Precision calculations for $h\to WW/ZZ\to 4$ fermions in a Singlet Extension of the Standard Model with Prophecy4f
• Impact of Electroweak Corrections on Neutral Higgs Boson Decays in Extended Higgs Sectors
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• New estimate of the chromomagnetic dipole moment of quarks in the standard model
• The SU(2) X U(1) Electroweak Model based on the Nonlinearly Realized Gauge Group
• Matching renormalisable couplings: simple schemes and a plot
• The Weak-Magnetic Moment of Heavy Quarks
• Higgs-Electroweak Chiral Lagrangian: One-Loop Renormalization Group Equations
• The Feynman rules for the SMEFT in the background field gauge
• Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 1. Standard Model
• Four-fermion production at gamma gamma colliders: 2. Radiative corrections in double-pole approximation
• Slavnov-Taylor constraints for non-trivial backgrounds
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory
• Non-unitarity of CKM matrix from the vector singlet quark mixing and neutron electric dipole moment
• The Two-Loop Pinch Technique in the Electroweak Sector
• Photonic and QCD radiative corrections to Higgs-boson production in mu+ mu- --> f fbar
• Higgs decays to two leptons and a photon beyond leading order in the SMEFT
• Canonical Transformations and Renormalization Group Invariance in the presence of Non-trivial Backgrounds
• The Geometric $\nu$SMEFT: Operators and Connections
• A Procedure g5anchor to Anchor ${\gamma }_5$ in Feynman Diagrams for the Standard Model
• Two-loop electroweak corrections to the $\rho$ parameter beyond the leading approximation
• Refined Analysis of the Electroweak Precision Data
• Complete NLO corrections to top-quark pair production with isolated photons
• Unitarity in Dirichlet Higgs Model
• Near-threshold W-pair production in the model of unstable particles with smeared mass
• Chromomagnetic and chromoelectric dipole moments of quarks in the reduced 331 model
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• Leading two-loop corrections to the Higgs di-photon decay in the Inert Doublet Model
• Two-loop matching of renormalizable operators: general considerations and applications
• Vanishing Contribution to Quark Electric Dipole Moment in the 2HD Model with CKM CP Violation
• Thirring's low-energy theorem and its generalizations in the electroweak Standard Model
• Modified perturbation theory for pair production and decay of fundamental unstable particles
• Anapole Moment of Majorana Fermions and Implications for Direct Detection of Neutralino Dark Matter
• Finite-width effects in the near-threshold ZZZ and ZWW production at ILC
• Electron EDM and $\Gamma (\mu \to e\gamma )$ in the 2HDM
• Gauge parameter dependence in the background field gauge and the construction of an invariant charge
• Vacuum expectation value renormalization in the Standard Model and beyond
• On the four-loop strong coupling beta-function in the SM
• Basic issues of conservative approaches to quantum theory of gravity
• Effective field theory approach to the Higgs lineshape
• Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state
• Factorization in the model of unstable particles with continuous masses
• First order formulation of the Yang-Mills theory in a background field
• Background field method at finite temperature and density
• Complete one-loop corrections to e+ e- -> W+ W- in the MSSM
• On The Pinch Technique Beyond One Loop
• Electric charge renormalization to all orders
• Super Background Field Method for N=2 SYM
• Electroweak Corrections to e+e- --> 4 fermions
• The Stueckelberg Mechanism in the presence of Physical Scalar Resonances
• Enhanced contribution to quark and neutron electric dipole moments with small mixing of right-handed currents and CKM CP violation
• Sum rules for asymptotic form factors in $e^{+}{e}^{-}->W^{+}{W}^{-}$ scattering
• Three-loop beta-functions and anomalous dimensions in the Standard Model
• Near-threshold boson pair production in the model of smeared-mass unstable particles
• The Callan-Symanzik equation of the electroweak Standard Model and its 1-loop functions
• Oblique corrections when $m_W\ne m_Z\cos {\theta }_W$ at tree level
• The HiggsTools Handbook: Concepts and observables for deciphering the Nature of the Higgs Sector
• Non-trivial Backgrounds in (non-perturbative) Yang-Mills Theory by the Slavnov-Taylor Identity
• The dual gauge fixing property of the S matrix
• Two-Loop Rational Terms for Spontaneously Broken Theories
• Renormalization schemes for mixing angles in extended Higgs sectors
• Gauge-invariant Green's functions for the bosonic sector of the standard model
• NNLO mixed EW-QCD corrections to single vector boson production
• From Models to SMEFT and Back?
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• One Formula To Match Them All: The Bispinor Universal One-Loop Effective Action
• The one-loop tadpole in the geoSMEFT
• $CP$-odd form factor in the $HWW$ vertex
• A new and gauge-invariant Littlest Higgs model with T-parity
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Decay: A Monte Carlo library for the decay of a particle with ROOT compatibility