Particle_Content_non-SUSY.md

+---
+title: Particle Content non-SUSY
+permalink: /Particle_Content_non-SUSY/
+---
+
+[Category:Model](/Category:Model "wikilink")
+
+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](/Handling_of_non-fundamental_representations "wikilink").
+
+### 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**:
+        FermionFields[[/1|1]] = {q, 3, {uL, qL}, 1/6, 2, 3};
+        ...
+        ScalarFields[[/1|1]] =  {H, 1, {H0, Hm}, 1/2, 2, 1};
+
+    Here, we have not assumed any global symmetry.
+
+2.  **Inert Higgs doublet**
+        Global[[/1|1]] = {Z[2], Z2};
+        ...
+        ScalarFields[[/1|1]] =  {Hd, 1, {Hd0, Hdm},    -1/2, 2,  1,  1};
+        ScalarFields[[/2|2]] =  {Hu, 1, {Hup, Hu0},     1/2, 2,  1, -1};
+
+    One can see here the appearance of the transformation under the additionally defined *Z*<sub>2</sub> 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 <span>RealScalars</span>. For instance, a real singlet is added to the model by
+        ScalarFields[[/2|2]] = {S, 1, s,  0, 1, 1};
+        RealScalars = {S};
+
+4.  **Real triplets** One has to be a bit careful when defining real triplets. The correct way is
+        ScalarFields[[/2|2]] = {trip, 1, {{T0/Sqrt[2],conj[Tm]},{Tm,-T0/Sqrt[2]}},    0, 3, 1};
+        RealScalars = {T0};
+
+    Note, it would be wrong to define the entire triplet `trip` as real.
+
+Remark
+------
+
+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.
+
+See also
+--------
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