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Particle_Content_non SUSY

Particle Content non-SUSY

Defnition of scalars and fermions

The syntax for to define scalar and fermion fields in non-supersymmetric models is as follows

FermionField[[/i|i]]/ScalarField[[/i|i]] = {Name,  Generations, Components, Transformation Gauge 1,
Transformation Gauge 2..., Transformation Global 1, Transformation Global 2 };
  1. Name: The name for the field
  2. Generations: The number of generations
  3. Components: The basis of the name for the components. Two cases are possible:
    1. The field transforms only trivially under the gauge groups with expanded indices. In this case, the entry is one dimensional.
    2. The field transforms non-trivially under gauge groups with expanded indices. In this case, the entry is a vector or higher dimensional tensor fitting to the dimension of the field. Note, representations larger than the fundamental one are written as tensor products
  4. Transformation Gauge X: Transformation under the different gauge groups defined before. For U(1) this is the charge, for non-Abelian gauge groups the dimensions is given as integer respectively negative integer. The dimension D of an irreducible representation is not necessarily unique. Therefore, to make sure, SARAH uses the demanded representation, also the corresponding Dynkin labels have to be added.
  5. Transformation Global X: Transformation under the different global symmetries.

Non-Fundamental representations

More details about the treatment of non-fundamental representations is given here.

Real scalar

By default, scalars are taken to be complex. To define them as real, they must be added to the list

RealScalars

Examples

  1. Left handed Quarks and Higgs doublet in the SM/1

    Here, we have not assumed any global symmetry.

  2. Inert Higgs doublet/1

    One can see here the appearance of the transformation under the additionally defined Z2 symmetry.

  3. Real singlets: By default all scalars are taken to be complex. To define them as real the name of the field has to be added to the list RealScalars/2

  4. Real triplets/2

    Note, it would be wrong to define the entire triplet trip as real.

Remark

It is not possible to use SuperFields and FermionFields or ScalarFields at the same time. If the user wants to define scalars or fermions, all superfields have to be written as components.

See also