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---
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title: Particle Content non-SUSY
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permalink: /Particle_Content_non-SUSY/
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---
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[Category:Model](/Category:Model "wikilink")
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Defnition of scalars and fermions
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---------------------------------
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The syntax for to define scalar and fermion fields in non-supersymmetric models is as follows
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FermionField[[/i|i]]/ScalarField[[/i|i]] = {Name, Generations, Components, Transformation Gauge 1,
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Transformation Gauge 2..., Transformation Global 1, Transformation Global 2 };
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1. `Name`: The name for the field
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2. `Generations`: The number of generations
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3. `Components`: The basis of the name for the components. Two cases are possible:
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1. The field transforms only trivially under the gauge groups with expanded indices. In this case, the entry is one dimensional.
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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
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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.
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5. `Transformation Global X`: Transformation under the different global symmetries.
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### Non-Fundamental representations
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More details about the [treatment of non-fundamental representations is given here](/Handling_of_non-fundamental_representations "wikilink").
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### Real scalar
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By default, scalars are taken to be complex. To define them as real, they must be added to the list
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RealScalars
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Examples
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--------
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1. **Left handed Quarks and Higgs doublet in the SM**:
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FermionFields[[/1|1]] = {q, 3, {uL, qL}, 1/6, 2, 3};
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...
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ScalarFields[[/1|1]] = {H, 1, {H0, Hm}, 1/2, 2, 1};
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Here, we have not assumed any global symmetry.
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2. **Inert Higgs doublet**
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Global[[/1|1]] = {Z[2], Z2};
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...
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ScalarFields[[/1|1]] = {Hd, 1, {Hd0, Hdm}, -1/2, 2, 1, 1};
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ScalarFields[[/2|2]] = {Hu, 1, {Hup, Hu0}, 1/2, 2, 1, -1};
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One can see here the appearance of the transformation under the additionally defined *Z*<sub>2</sub> symmetry.
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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 <span>RealScalars</span>. For instance, a real singlet is added to the model by
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ScalarFields[[/2|2]] = {S, 1, s, 0, 1, 1};
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RealScalars = {S};
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4. **Real triplets** One has to be a bit careful when defining real triplets. The correct way is
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ScalarFields[[/2|2]] = {trip, 1, {{T0/Sqrt[2],conj[Tm]},{Tm,-T0/Sqrt[2]}}, 0, 3, 1};
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RealScalars = {T0};
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Note, it would be wrong to define the entire triplet `trip` as real.
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Remark
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------
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It is not possible to use <span>SuperFields</span> and <span>FermionFields</span> or <span>ScalarFields</span> at the same time. If the user wants to define scalars or fermions, all superfields have to be written as components.
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See also
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-------- |
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\ No newline at end of file |