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adding first draft of HSSUSY documentation
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Alexander Voigt authored and Alexander Voigt committed Sep 4, 2016
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Expand Up @@ -40,6 +40,7 @@ To run the NMSSM spectrum generator, run
- @ref librarylink
- @ref documentation
- @ref package
- @ref model_descriptions
- @ref utilities

\section References
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/**
\page model_descriptions Models
\tableofcontents

\section model_hssusy HSSUSY

HSSUSY (high scale supersymmetry) is an implementation of the Standard
Model, matched to the MSSM at the SUSY scale, \f$M_\text{SUSY}\f$. At
the SUSY scale, the quartic Higgs coupling,
\f$\lambda(M_\text{SUSY})\f$ is predicted from the matching to the
MSSM using the threshold corrections of [arXiv:1407.4081,
arxiv:1504.05200]. The 3-loop renormalization group equations of
[arxiv:1504.05200, arxiv:1303.4364] are used to run
\f$\lambda(M_\text{SUSY})\f$ down to the electroweak scale. At the
electroweak scale, the gauge and Yukawa couplings as well as the SM
vacuum expectation value (VEV) are calculated at the 1-loop level from
the known low-energy couplings \f$\alpha_{\text{em}}(M_Z)\f$,
\f$\alpha_s(M_Z)\f$ and Standard Model masses. The top Yukawa
coupling \f$y_t(M_Z)\f$ is calculated at the 1-loop level from the
top pole mass, taking 2-loop [hep-ph/9803493] and 3-loop
[arxiv:hep-ph/9911434] corrections into account.

__Input parameters__

Parameter | description | input block/field
--------------------------------------------|--------------------------------------------------------------|------------------
\f$M_{\text{SUSY}}\f$ | SUSY scale | `EXTPAR[0]`
\f$M_1(M_\text{SUSY})\f$ | Bino mass | `EXTPAR[1]`
\f$M_2(M_\text{SUSY})\f$ | Wino mass | `EXTPAR[2]`
\f$M_3(M_\text{SUSY})\f$ | Gluino mass | `EXTPAR[3]`
\f$\mu(M_\text{SUSY})\f$ | \f$\mu\f$-parameter | `EXTPAR[4]`
\f$m_A(M_\text{SUSY})\f$ | running CP-odd Higgs mass | `EXTPAR[5]`
\f$M_{\text{EWSB}}\f$ | scale at which the pole mass spectrum is calculated | `EXTPAR[5]`
\f$A_t(M_\text{SUSY})\f$ | trililear stop coupling | `EXTPAR[7]`
\f$\tan\beta(M_\text{SUSY})\f$ | \f$\tan\beta(M_\text{SUSY})=\frac{v_u}{v_d}\f$ | `EXTPAR[25]`
\f$(m_{\tilde{q}}^2)_{ij}(M_\text{SUSY})\f$ | soft-breaking left-handed squark mass parameters | `MSQ2IN`
\f$(m_{\tilde{u}}^2)_{ij}(M_\text{SUSY})\f$ | soft-breaking right-handed up-type squark mass parameters | `MSU2IN`
\f$(m_{\tilde{d}}^2)_{ij}(M_\text{SUSY})\f$ | soft-breaking right-handed down-type squark mass parameters | `MSD2IN`
\f$(m_{\tilde{l}}^2)_{ij}(M_\text{SUSY})\f$ | soft-breaking left-handed slepton mass parameters | `MSL2IN`
\f$(m_{\tilde{e}}^2)_{ij}(M_\text{SUSY})\f$ | soft-breaking right-handed down-type slepton mass parameters | `MSE2IN`

__EWSB__

The 1-loop electroweak symmetry breaking condition is imposed at the
scale \f$M_{\text{EWSB}}\f$ and is used to fix the value of the
bililear Higgs coupling \f$\mu^2(M_{\text{EWSB}})\f$.

__Boundary conditions__

_High scale_

The high scale (`HighScale`) is fixed \f$M_{\text{SUSY}}\f$. At
\f$M_{\text{SUSY}}\f$, the quartic Higgs coupling
\f$\lambda(M_\text{SUSY})\f$ is fixed using the 1- and leading 2-loop
threshold corrections of [arXiv:1407.4081, arxiv:1504.05200].

_EWSB scale_

The scale at which the pole mass spectrum (including the Higgs mass)
(`SUSYScale`) is calculated is the electroweak symmetry breaking
scale, \f$M_{\text{EWSB}}\f$.

_Low scale_

At the low scale (`LowScale`) the gauge and Yukawa couplings as well
as the VEV are calculated from the input parameters
\f$\alpha_{\text{em}}(M_Z)\f$, \f$\alpha_s(M_Z)\f$, \f$G_F\f$,
\f$m_u(2\,\text{GeV})\f$, \f$m_d(2\,\text{GeV})\f$,
\f$m_s(2\,\text{GeV})\f$, \f$m_c(m_c)\f$, \f$m_b(m_b)\f$, \f$M_t\f$,
\f$M_e\f$, \f$M_\mu\f$, \f$M_\tau\f$, \f$M_Z\f$ using the approach
described in [arxiv:1609.00371].

Depending on the given input flags, the top Yukawa coupling,
\f$y_t(M_Z)\f$, is calculated at the 1-loop level plus additional
2-loop [hep-ph/9803493] and 3-loop [arxiv:hep-ph/9911434] QCD
corrections, see \ref FlexibleSUSY_config .

__Pole masses__

The Standard Model pole mass spectrum is calculated at the 1-loop
level. Depending on the given input flags, 2-loop corrections
\f$O(\alpha_t\alpha_s + \alpha_t^2)\f$ of [arxiv:1205.6497, Eq. (20)]
are included.

*/

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