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Definition of Superfields
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-------------------------
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## Definition of Superfields
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Chiral superfields in SARAH are defined via the array `SuperFields`. The general syntax is
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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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### Soft-breaking masses
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## Soft-breaking masses
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SARAH adds automatically for all chiral superfields soft-breaking squared masses named
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m <> "Name of Superfield" <> 2
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Examples
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--------
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## Examples
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1. **Fields with expanded indices**
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The definition of the left quark superfield in the MSSM is
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1. <span>**Fields with expanded indices**</span> The definition of the left quark superfield in the MSSM is
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SuperField[[/1|1]] = {q, 3, {uL, dL}, 1/6, 2, 3, {-1,-1,1}};
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The consequence of this definition is
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8. The superfield transforms as <span>**3**</span> under *S**U*(3)
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9. The superfield and scalar have *R*-parity -1, the fermion +1.
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2. <span>**Fields with no expanded indices**</span> The right down-quark superfield is defined in the MSSM as
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2. **Fields with no expanded indices**
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The right down-quark superfield is defined in the MSSM as
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SuperField[[/3|3]] = {d, 3, {conj[dR]}, 1/3, 1, -3, {-1,-1,1}};
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The meaning is
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7. It does transform as ${\\bf \\bar{3}}$ under *S**U*(3)
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8. The superfield and scalar have *R*-parity -1, the fermion +1.
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3. <span>*'Specification of representation **</span> Since the <span>**10*'</span> under *S**U*(5) is not unique, it is necessary to add the appropriate Dynkin labels, i.e.
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3. **Specification of representation**
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Since the $`10`$ under SU(5) is not unique, it is necessary to add the appropriate Dynkin labels, i.e.
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SuperField[[/1|1]] = {Ten, 1, t, {10,{0,1,0,0}},...};
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or
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SuperField[[/1|1]] = {Ten, 1, t, {10,{0,0,1,0}},...};
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4. <span>**Mixed soft-breaking terms**</span> In models which contain fields with the same quantum numbers under gauge and global symmetries mixed soft-breaking terms are added. For instance, in models with heavy squarks
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4. **Mixed soft-breaking terms**
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In models which contain fields with the same quantum numbers under gauge and global symmetries mixed soft-breaking terms are added. For instance, in models with heavy squarks
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SuperField[[/3|3]] = {d, 3, {conj[dR]}, 1/3, 1, -3};
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...
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SuperField[[/10|10]] = {DH, 3, {conj[dRH]}, 1/3, 1, -3};
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mlHd (conj[Sl] SHd + Sl conj[SHd])
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are not created, because of the defined, global symmetry.
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See also
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-------- |
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\ No newline at end of file |
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are not created, because of the defined, global symmetry. |
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\ No newline at end of file |