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title: Models with Thresholds in SPheno
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permalink: /Models_with_Thresholds_in_SPheno/
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---
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# Models with Thresholds in SPheno
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[Category:Outputs](/Category:Outputs "wikilink") [Category:SPheno](/Category:SPheno "wikilink")
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General
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... | ... | @@ -112,7 +109,7 @@ When starting the SPheno output of the lowest scale, automatically all other sc |
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### Example
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The entire discussion in the following is based on the model `Omega-Short` delivered with SARAH. This model has a threshold scale </math>SU(2)_L \\times SU(2)_R \\times U(1)_{B-L} \\rightarrow SU(2)_L \\times U(1)_Y</math>
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The entire discussion in the following is based on the model `Omega-Short` delivered with SARAH. This model has a threshold scale </math>SU(2)_L \times SU(2)_R \times U(1)_{B-L} \rightarrow SU(2)_L \times U(1)_Y</math>
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1. '''Boundary conditions: ''' We don't further specify here all incredients of the model but just listen some boundary conditions which are important when matching the model to the MSSM.
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</math>\\begin{aligned} \\label{eq:boundary_LR_1} Y_d = Y_Q^1 \\cos \\theta_1 - Y_Q^2 \\sin \\theta_1 \\thickspace, &\\qquad& Y_u = - Y_Q^1 \\cos \\theta_2 + Y_Q^2 \\sin \\theta_2 \\thickspace, \\\\ Y_e = Y_L^1 \\cos \\theta_1 - Y_L^2 \\sin \\theta_1 \\thickspace, &\\qquad& Y_\\nu = - Y_L^1 \\cos \\theta_2 + Y_L^2 \\sin \\theta_2 \\thickspace,\\end{aligned}</math>
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