Changes between Version 1 and Version 2 of TwoHiggsDoublet
- Timestamp:
- Apr 6, 2012, 4:33:02 PM (12 years ago)
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TwoHiggsDoublet
v1 v2 9 9 \cite{Arkani-Hamed:2002qx}. The generic 2HDM considered here may 10 10 display by itself an interesting phenomenology justifying its 11 study. As a non exhaustive list, let us mention new sources of %$CP$%11 study. As a non exhaustive list, let us mention new sources of $CP$ 12 12 violation in scalar-scalars interactions \cite{Branco:1999fs}, 13 13 tree-level flavor changing neutral currents (FCNCs) due to non … … 19 19 restrictions are imposed on the interactions allowed by gauge 20 20 invariance, except electric charge conservation. Many diagrams 21 involving tree-level FCNCs and violating the %$CP$%symmetry are thus21 involving tree-level FCNCs and violating the $CP$ symmetry are thus 22 22 present. The user who is not interested in these phenomena should use 23 23 the ``simplified'' version of the model (2hdm), where the number … … 26 26 The following naming convention is used: h+ and h- stand 27 27 for the positively and negatively charged Higgs bosons and h1, 28 h2 and h3 stand for the neutral ones. Since the %$CP$%28 h2 and h3 stand for the neutral ones. Since the $CP$ 29 29 invariance of the potential is not assumed, the neutral bosons are not 30 30 necessarily $CP$ eigenstates and the standard naming convention in … … 80 80 81 81 All parameters in front of quartic terms and the charged Higgs mass 82 are input parameters, while %$\mu_1$%, %$\mu_2$% and %$\mu_3$%are fixed by82 are input parameters, while $\mu_1$, $\mu_2$ and $\mu_3$ are fixed by 83 83 minimization constraints and by the vev extracted from the observed SM 84 parameters. %$\lambda_1$% to %$\lambda_4$% are real while %$\lambda_5$%in84 parameters. $\lambda_1$ to $\lambda_4$ are real while $\lambda_5$ in 85 85 general is complex. However, since only the phase differences between 86 %$\lambda_5$ %, %$\lambda_6$%, %$\lambda_7$% and %$\mu_3$%matter, the phase of87 %$\lambda_5$ %can always be rotated out. It is thus considered as a real88 parameter while %$\lambda_6$% and %$\lambda_7$%are a priori complex.86 %$\lambda_5$, $\lambda_6$, $\lambda_7$ and $\mu_3$ matter, the phase of 87 %$\lambda_5$ can always be rotated out. It is thus considered as a real 88 parameter while $\lambda_6$ and $\lambda_7$ are a priori complex. 89 89 90 90 In the same basis, the Yukawa interactions read … … 98 98 fermions, ie, in the basis where the mass matrix is diagonal. Since 99 99 in the Higgs basis only the first Higgs doublet gets a non zero vev, 100 the %$M$%matrices are completely fixed by the physical fermion masses101 and CKM mixing matrix (restricted to Cabibbo angle) while the %$Y$%100 the $M$ matrices are completely fixed by the physical fermion masses 101 and CKM mixing matrix (restricted to Cabibbo angle) while the $Y$ 102 102 matrices (giving the couplings of the second Higgs doublet) are a 103 103 priori free. For these matrices, the first index refers to doublet … … 109 109 In the generic basis, similar expressions are assumed. For the scalar 110 110 potential all parameters in front of quartic terms are inputs as well 111 as %$\tan(\beta)$%, the norm of %$\mu_3$% and the phase of %$v_2$%. The111 as $\tan(\beta)$, the norm of $\mu_3$ and the phase of $v_2$. The 112 112 overall vev is again extracted from SM parameters while mass terms 113 parameters, like %$\mu_1$%, %$\mu_2$% and the phase of %$\mu_3$%, are fixed114 by the minimization constraints. %$\lambda_1$% to %$\lambda_4$%are real115 parameters, %$\lambda_5$%, %$\lambda_6$% and %$\lambda_7$%are a priori113 parameters, like $\mu_1$, $\mu_2$ and the phase of $\mu_3$, are fixed 114 by the minimization constraints. $\lambda_1$ to $\lambda_4$ are real 115 parameters, $\lambda_5$, $\lambda_6$ and $\lambda_7$ are a priori 116 116 complex. Like in the Higgs basis, the Yukawa couplings must be given 117 117 in the physical basis for fermions. Since the mass matrices are fixed, 118 118 only the Yukawa coupling matrices of the second Higgs doublet 119 ( %$\Gamma$%), is required. The other one is going to be automatically119 ($\Gamma$), is required. The other one is going to be automatically 120 120 evaluated to match observed fermion masses and CKM mixing matrix 121 (restricted to Cabibbo angle). For the %$\Gamma$%matrix, the first121 (restricted to Cabibbo angle). For the $\Gamma$ matrix, the first 122 122 index refers to doublet generation while the second one refer to the 123 123 singlet generation. For example, G2B stands for the complex … … 140 140 Table below. All blocks in the table are provided by 141 141 TwoHiggsCalc. Note that if parton density functions (PDFs) are used in 142 the MadEvent run, the value for %$\alpha_s$% at %$M_Z$%and the order of143 its running is given by the PDF. Otherwise %$\alpha_s(M_Z)$%is given by142 the MadEvent run, the value for $\alpha_s$ at $M_Z$ and the order of 143 its running is given by the PDF. Otherwise $\alpha_s(M_Z)$ is given by 144 144 block SMINPUTS, parameter 3, and the order of running is taken 145 to be 2-loop. The scale where %$\alpha_s$%is evaluated can be fixed or145 to be 2-loop. The scale where $\alpha_s$ is evaluated can be fixed or 146 146 evaluated on an event-by-event basis like in the SM. 147 147 148 148 ||Block||Comment|| 149 149 ||SMINPUTS||From 1 to 4, SM parameters, see the SM section for more details|| 150 ||MGSMPARAM||Extra block with %$\sin\theta_W$% and %$M_W$%, see the SM section for more details||150 ||MGSMPARAM||Extra block with $\sin\theta_W$ and $M_W$, see the SM section for more details|| 151 151 ||MGYUKAWA}||``Yukawa'' masses used in the Yukawa couplings evaluation|| 152 152 ||MGCKM ||The full CKM matrix|| … … 156 156 ||MASS|| All SM particles masses, plus the five new Higgs boson masses|| 157 157 ||TMIX|| The scalar mixing matrix|| 158 ||DECAY|| For all the Higgs bosons, top, %$W^\pm$% and %$Z$%||158 ||DECAY|| For all the Higgs bosons, top, $W^\pm$ and $Z$|| 159 159 160 160 -- Main.MichelHerquet - 09 Apr 2007 … … 183 183 184 184 185
