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  • Lagrangian

Last edited by Martin Gabelmann Jun 28, 2019
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Lagrangian

Lagrangian

For a realistic model, in particular a SUSY model, the Lagrangian is generally very lengthy. Therefore, SARAH splits it in different parts in order to speed up some calculations. This splitting might be also helpful for analyzing the structure of interactions involving different kinds of fields. SARAH saves the different parts of the Lagrangian for the different eigenstates in the following variables:

  • LagSV[$EIGENSTATES]: Parts with scalars and vector bosons (= kinetic terms for scalars)
  • LagFFV[$EIGENSTATES]: Parts with fermions and vector bosons (= kinetic terms of scalars)
  • LagSSSS[$EIGENSTATES]: Parts with only scalars (= scalar potential)
  • LagFFS[$EIGENSTATES]: Parts with fermions and scalars
  • LagVVV[$EIGENSTATES]: Parts with three vector bosons
  • LagVVVV[$EIGENSTATES]: Parts with four vector bosons
  • LagGGS[$EIGENSTATES]: Parts with ghosts and scalars
  • LagGGV[$EIGENSTATES]: Parts with ghosts and vector bosons
  • LagSSA[$EIGENSTATES]: Parts with scalars and auxiliary fields (only needed for CalcHep output)

In addition, for an effective theory, there might exist

  • LagSSSSSS[$EIGENSTATES]: Dimension 6 operators with only scalars
  • LagSSSVVV[$EIGENSTATES]: Dimension 6 operators with scalars and fermions
  • LagFFFF[$EIGENSTATES]: Dimension 6 operators with only fermions
  • LagFFSS[$EIGENSTATES]: Dimension 5 operators with fermions and scalars
  • LagFFVV[$EIGENSTATES]: Dimension 6 operators with fermions and vector bosons

Moreover, the different results of the calculation of the Lagrangian in gauge eigenstates are also saved separately. The variable names are:

  • Superpotential: Superpotential
  • Fermion - scalar interactions coming from the superpotential: Wij
  • F-Terms: FTerms
  • Scalar soft-breaking masses: SoftScalarMass
  • Gaugino masses: SoftGauginoMass
  • Soft-breaking couplings: SoftW
  • Kinetic terms for scalars: KinScalar
  • Kinetic terms for fermions: KinFermion
  • D-Terms: DTerms
  • Interactions between gauginos and a scalar and a fermion: FSGaugino
  • Trilinear self-interactions of gauge bosons: GaugeTri
  • Quartic self-interactions of gauge bosons: GaugeQuad
  • Interactions between vector bosons and gauginos: BosonGaugino

Furthermore, the additional interactions and the redefinition of existing interactions are saved in LagRedefinition.

See also

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Index

  • Additional terms in Lagrangian
  • Advanced usage of FlavorKit
  • Advanced usage of FlavorKit to calculate new Wilson coefficients
  • Advanced usage of FlavorKit to define new observables
  • Already defined Operators in FlavorKit
  • Already defined observables in FlavorKit
  • Auto-generated templates for particles.m and parameters.m
  • Automatic index contraction
  • Basic definitions for a non-supersymmetric model
  • Basic definitions for a supersymmetric model
  • Basic usage of FlavorKit
  • Boundary conditions in SPheno
  • CalcHep CompHep
  • Calculation of flavour and precision observables with SPheno
  • Checking the particles and parameters within Mathematica
  • Checks of implemented models
  • Conventions
  • Decay calculation with SPheno
  • Defined FlavorKit parameters
  • Definition of the properties of different eigenstates
  • Delete Particles
  • Different sets of eigenstates
  • Diphoton and digluon vertices with SPheno
  • Dirac Spinors
  • FeynArts
  • Fine-Tuning calculations with SPheno
  • Flags for SPheno Output
  • Flags in SPheno LesHouches file
  • FlavorKit
  • FlavorKit Download and Installation
  • Flavour Decomposition
  • GUT scale condition in SPheno
  • Gauge Symmetries SUSY
  • Gauge Symmetries non-SUSY
  • Gauge fixing
  • Gauge group constants
  • General information about Field Properties
  • General information about model implementations
  • Generating files with particle properties
  • Generic RGE calculation
  • Global Symmetries SUSY
  • Global Symmetries non-SUSY
  • Handling of Tadpoles with SPheno
  • Handling of non-fundamental representations
  • HiggsBounds
  • Higher dimensionsal terms in superpotential
  • Input parameters of SPheno
  • Installation
  • Installing Vevacious
  • LHCP
  • LHPC
  • LaTeX
  • Lagrangian
  • Loop Masses
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  • Main Commands
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  • MicrOmegas
  • ModelOutput
  • Model files for Monte-Carlo tools
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  • Models with Thresholds in SPheno
  • Models with another gauge group at the SUSY scale
  • Models with several generations of Higgs doublets
  • More precise mass spectrum calculation
  • No SPheno output possible
  • Nomenclature for fields in non-supersymmetric models
  • Nomenclature for fields in supersymmetric models
  • One-Loop Self-Energies and Tadpoles
  • One-Loop Threshold Corrections in Scalar Sectors
  • Options SUSY Models
  • Options non-SUSY Models
  • Parameters.m
  • Particle Content SUSY
  • Particle Content non-SUSY
  • Particles.m
  • Phases
  • Potential
  • Presence of super-heavy particles
  • RGE Running with Mathematica
  • RGEs
  • Renormalisation procedure of SPheno
  • Rotations angles in SPheno
  • Rotations in gauge sector
  • Rotations in matter sector
  • SARAH in a Nutshell
  • SARAH wiki
  • SLHA input for Vevacious
  • SPheno
  • SPheno Higgs production
  • SPheno Output
  • SPheno and Monte-Carlo tools
  • SPheno files
  • SPheno mass calculation
  • SPheno threshold corrections
  • Setting up SPheno.m
  • Setting up Vevacious
  • Setting up the SPheno properties
  • Special fields and parameters in SARAH
  • Superpotential
  • Support of Dirac Gauginos
  • Supported Models
  • Supported gauge sectors
  • Supported global symmetries
  • Supported matter sector
  • Supported options for symmetry breaking
  • Supported particle mixing
  • Tadpole Equations
  • The renormalisation scale in SPheno
  • Tree-level calculations
  • Tree Masses
  • Two-Loop Self-Energies and Tadpoles
  • UFO
  • Usage of tadpoles equations
  • Using SPheno for two-loop masses
  • Using auxiliary parameters in SPheno
  • VEVs
  • Vertices
  • Vevacious
  • WHIZARD