# Changes between Version 1 and Version 2 of TwoHiggsDoublet

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Timestamp:
04/06/12 16:33:02 (8 years ago)
Comment:

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Unmodified
 v1 \cite{Arkani-Hamed:2002qx}. The generic 2HDM considered here may display by itself an interesting phenomenology justifying its study. As a non exhaustive list, let us mention new sources of %$CP$% study. As a non exhaustive list, let us mention new sources of $CP$ violation in scalar-scalars interactions \cite{Branco:1999fs}, tree-level flavor changing neutral currents (FCNCs) due to non restrictions are imposed on the interactions allowed by gauge invariance, except electric charge conservation. Many diagrams involving tree-level FCNCs and violating the %$CP$% symmetry are thus involving tree-level FCNCs and violating the $CP$ symmetry are thus present. The user who is not interested in these phenomena should use the simplified'' version of the model (2hdm), where the number The following naming convention is used: h+ and h- stand for the positively and negatively charged Higgs bosons and h1, h2 and h3 stand for the neutral ones. Since the %$CP$% h2 and h3 stand for the neutral ones. Since the $CP$ invariance of the potential is not assumed, the neutral bosons are not necessarily $CP$ eigenstates and the standard naming convention in All parameters in front of quartic terms and the charged Higgs mass are input parameters, while %$\mu_1$%, %$\mu_2$% and %$\mu_3$% are fixed by are input parameters, while $\mu_1$, $\mu_2$ and $\mu_3$ are fixed by minimization constraints and by the vev extracted from the observed SM parameters. %$\lambda_1$% to %$\lambda_4$% are real while %$\lambda_5$% in parameters. $\lambda_1$ to $\lambda_4$ are real while $\lambda_5$ in general is complex. However, since only the phase differences between %$\lambda_5$%, %$\lambda_6$%, %$\lambda_7$% and %$\mu_3$% matter, the phase of %$\lambda_5$% can always be rotated out. It is thus considered as a real parameter while %$\lambda_6$% and %$\lambda_7$% are a priori complex. %$\lambda_5$, $\lambda_6$, $\lambda_7$ and $\mu_3$ matter, the phase of %$\lambda_5$ can always be rotated out. It is thus considered as a real parameter while $\lambda_6$ and $\lambda_7$ are a priori complex. In the same basis, the Yukawa interactions read fermions, ie, in the basis where the mass matrix is diagonal. Since in the Higgs basis only the first Higgs doublet gets a non zero vev, the %$M$% matrices are completely fixed by the physical fermion masses and CKM mixing matrix (restricted to Cabibbo angle) while the %$Y$% the $M$ matrices are completely fixed by the physical fermion masses and CKM mixing matrix (restricted to Cabibbo angle) while the $Y$ matrices (giving the couplings of the second Higgs doublet) are a priori free. For these matrices, the first index refers to doublet In the generic basis, similar expressions are assumed. For the scalar potential all parameters in front of quartic terms are inputs as well as %$\tan(\beta)$%, the norm of %$\mu_3$% and the phase of %$v_2$%.  The as $\tan(\beta)$, the norm of $\mu_3$ and the phase of $v_2$.  The overall vev is again extracted from SM parameters while mass terms parameters, like %$\mu_1$%, %$\mu_2$% and the phase of %$\mu_3$%, are fixed by the minimization constraints. %$\lambda_1$% to %$\lambda_4$% are real parameters, %$\lambda_5$%, %$\lambda_6$% and %$\lambda_7$% are a priori parameters, like $\mu_1$, $\mu_2$ and the phase of $\mu_3$, are fixed by the minimization constraints. $\lambda_1$ to $\lambda_4$ are real parameters, $\lambda_5$, $\lambda_6$ and $\lambda_7$ are a priori complex. Like in the Higgs basis, the Yukawa couplings must be given in the physical basis for fermions. Since the mass matrices are fixed, only the Yukawa coupling matrices of the second Higgs doublet (%$\Gamma$%), is required. The other one is going to be automatically ($\Gamma$), is required. The other one is going to be automatically evaluated to match observed fermion masses and CKM mixing matrix (restricted to Cabibbo angle). For the %$\Gamma$% matrix, the first (restricted to Cabibbo angle). For the $\Gamma$ matrix, the first index refers to doublet generation while the second one refer to the singlet generation.  For example, G2B stands for the complex Table below. All blocks in the table are provided by TwoHiggsCalc. Note that if parton density functions (PDFs) are used in the MadEvent run, the value for %$\alpha_s$% at %$M_Z$% and the order of its running is given by the PDF. Otherwise %$\alpha_s(M_Z)$% is given by the MadEvent run, the value for $\alpha_s$ at $M_Z$ and the order of its running is given by the PDF. Otherwise $\alpha_s(M_Z)$ is given by block SMINPUTS, parameter 3, and the order of running is taken to be 2-loop. The scale where %$\alpha_s$% is evaluated can be fixed or to be 2-loop. The scale where $\alpha_s$ is evaluated can be fixed or evaluated on an event-by-event basis like in the SM. ||Block||Comment|| ||SMINPUTS||From 1 to 4, SM parameters, see the SM section for more details|| ||MGSMPARAM||Extra block with %$\sin\theta_W$% and %$M_W$%, see the SM section for more details|| ||MGSMPARAM||Extra block with $\sin\theta_W$ and $M_W$, see the SM section for more details|| ||MGYUKAWA}||Yukawa'' masses used in the Yukawa couplings evaluation|| ||MGCKM ||The full CKM matrix|| ||MASS|| All SM particles masses, plus the five new Higgs boson masses|| ||TMIX|| The scalar mixing matrix|| ||DECAY|| For all the Higgs bosons, top, %$W^\pm$% and %$Z$%|| ||DECAY|| For all the Higgs bosons, top, $W^\pm$ and $Z$|| -- Main.MichelHerquet - 09 Apr 2007