Changes between Version 1 and Version 2 of TwoHiggsDoublet


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

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  • TwoHiggsDoublet

    v1 v2  
    99\cite{Arkani-Hamed:2002qx}. The generic 2HDM considered here may
    1010display by itself an interesting phenomenology justifying its
    11 study. As a non exhaustive list, let us mention new sources of %$CP$%
     11study. As a non exhaustive list, let us mention new sources of $CP$
    1212violation in scalar-scalars interactions \cite{Branco:1999fs},
    1313tree-level flavor changing neutral currents (FCNCs) due to non
     
    1919restrictions are imposed on the interactions allowed by gauge
    2020invariance, except electric charge conservation. Many diagrams
    21 involving tree-level FCNCs and violating the %$CP$% symmetry are thus
     21involving tree-level FCNCs and violating the $CP$ symmetry are thus
    2222present. The user who is not interested in these phenomena should use
    2323the ``simplified'' version of the model (2hdm), where the number
     
    2626The following naming convention is used: h+ and h- stand
    2727for the positively and negatively charged Higgs bosons and h1,
    28 h2 and h3 stand for the neutral ones. Since the %$CP$%
     28h2 and h3 stand for the neutral ones. Since the $CP$
    2929invariance of the potential is not assumed, the neutral bosons are not
    3030necessarily $CP$ eigenstates and the standard naming convention in
     
    8080
    8181All 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 by
     82are input parameters, while $\mu_1$, $\mu_2$ and $\mu_3$ are fixed by
    8383minimization constraints and by the vev extracted from the observed SM
    84 parameters. %$\lambda_1$% to %$\lambda_4$% are real while %$\lambda_5$% in
     84parameters. $\lambda_1$ to $\lambda_4$ are real while $\lambda_5$ in
    8585general is complex. However, since only the phase differences between
    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.
     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
     88parameter while $\lambda_6$ and $\lambda_7$ are a priori complex.
    8989
    9090In the same basis, the Yukawa interactions read
     
    9898fermions, ie, in the basis where the mass matrix is diagonal. Since
    9999in the Higgs basis only the first Higgs doublet gets a non zero vev,
    100 the %$M$% matrices are completely fixed by the physical fermion masses
    101 and CKM mixing matrix (restricted to Cabibbo angle) while the %$Y$%
     100the $M$ matrices are completely fixed by the physical fermion masses
     101and CKM mixing matrix (restricted to Cabibbo angle) while the $Y$
    102102matrices (giving the couplings of the second Higgs doublet) are a
    103103priori free. For these matrices, the first index refers to doublet
     
    109109In the generic basis, similar expressions are assumed. For the scalar
    110110potential all parameters in front of quartic terms are inputs as well
    111 as %$\tan(\beta)$%, the norm of %$\mu_3$% and the phase of %$v_2$%.  The
     111as $\tan(\beta)$, the norm of $\mu_3$ and the phase of $v_2$.  The
    112112overall vev is again extracted from SM parameters while mass terms
    113 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
     113parameters, like $\mu_1$, $\mu_2$ and the phase of $\mu_3$, are fixed
     114by the minimization constraints. $\lambda_1$ to $\lambda_4$ are real
     115parameters, $\lambda_5$, $\lambda_6$ and $\lambda_7$ are a priori
    116116complex. Like in the Higgs basis, the Yukawa couplings must be given
    117117in the physical basis for fermions. Since the mass matrices are fixed,
    118118only the Yukawa coupling matrices of the second Higgs doublet
    119 (%$\Gamma$%), is required. The other one is going to be automatically
     119($\Gamma$), is required. The other one is going to be automatically
    120120evaluated to match observed fermion masses and CKM mixing matrix
    121 (restricted to Cabibbo angle). For the %$\Gamma$% matrix, the first
     121(restricted to Cabibbo angle). For the $\Gamma$ matrix, the first
    122122index refers to doublet generation while the second one refer to the
    123123singlet generation.  For example, G2B stands for the complex
     
    140140Table below. All blocks in the table are provided by
    141141TwoHiggsCalc. 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 of
    143 its running is given by the PDF. Otherwise %$\alpha_s(M_Z)$% is given by
     142the MadEvent run, the value for $\alpha_s$ at $M_Z$ and the order of
     143its running is given by the PDF. Otherwise $\alpha_s(M_Z)$ is given by
    144144block 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 or
     145to be 2-loop. The scale where $\alpha_s$ is evaluated can be fixed or
    146146evaluated on an event-by-event basis like in the SM.
    147147
    148148||Block||Comment||
    149149||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||
    151151||MGYUKAWA}||``Yukawa'' masses used in the Yukawa couplings evaluation||
    152152||MGCKM ||The full CKM matrix||
     
    156156||MASS|| All SM particles masses, plus the five new Higgs boson masses||
    157157||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 $Z$||
    159159
    160160-- Main.MichelHerquet - 09 Apr 2007
     
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