Changes between Version 1 and Version 2 of HiggsPheno


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Timestamp:
Apr 6, 2012, 4:33:02 PM (12 years ago)
Author:
trac
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  • HiggsPheno

    v1 v2  
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    66==== 1. Decays of the Higgs boson ====
    7    * A light SM Higgs boson mostly decays into %$b\bar b$%. Compute the decay rate for %$H\rightarrow b\bar b$%.
    8    * For a Higgs mass of around 160 !GeV, the main decay mode is %$H\rightarrow WW$%. Compute the decay rate.
     7   * A light SM Higgs boson mostly decays into $b\bar b$. Compute the decay rate for $H\rightarrow b\bar b$.
     8   * For a Higgs mass of around 160 !GeV, the main decay mode is $H\rightarrow WW$. Compute the decay rate.
    99The Higgs branching ratios can be found [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/h-br.pdf here].
    1010
     
    1515In the large top mass limit, the gluon fusion production of a Higgs boson can be described by an effective field theory where the Higgs couples directly to the gluons,
    1616
    17 %$\begin{cal}L\end{cal}=C_H\, H\, G_{\mu\nu}^a\, G_a^{\mu\nu}$%,
     17%$\begin{cal}L\end{cal}=C_H\, H\, G_{\mu\nu}^a\, G_a^{\mu\nu}$,
    1818
    19 where %$C_H$% is an effective (dimensionful) coupling constant and %$G_{\mu\nu}^a$% denotes the gluon field strength tensor.
     19where $C_H$ is an effective (dimensionful) coupling constant and $G_{\mu\nu}^a$ denotes the gluon field strength tensor.
    2020
    2121For details on the calculation of the top loop and the effective theory, see the notes and/or check the following Mathematica notebooks (which actually contain much more information):
     
    2727Exercise (DIFFICULT but interesting!!): Use the all the material above to derive the EFT description of a pseudo-scalar Higgs, A,
    2828
    29 %$\begin{cal}L\end{cal}=C_A\, A\, G_{\mu\nu}^a\, {\tilde G}_a^{\mu\nu}$%,
     29%$\begin{cal}L\end{cal}=C_A\, A\, G_{\mu\nu}^a\, {\tilde G}_a^{\mu\nu}$,
    3030
    31 where %$C_A$% is an effective (dimensionful) coupling constant and %$G_{\mu\nu}^a$% denotes the gluon field strength tensor and
    32 %${\tilde G}''a^{\mu\nu}=\frac12 \epsilon^{\mu\nu\rho\sigma} G''a^{\rho\sigma}$%  is its dual. Compute the loop amplitude, derive  the Feynman rules
     31where $C_A$ is an effective (dimensionful) coupling constant and $G_{\mu\nu}^a$ denotes the gluon field strength tensor and
     32%${\tilde G}''a^{\mu\nu}=\frac12 \epsilon^{\mu\nu\rho\sigma} G''a^{\rho\sigma}$  is its dual. Compute the loop amplitude, derive  the Feynman rules
    3333in the large top mass limit and calculate the LO and NLO cross sections at the LHC.
    3434
     
    4141Choose a channel and investigate signal and background:
    4242
    43    1. The 4 lepton final state: %$pp \to H\to Z Z \to e^+e^- \mu^+ \mu^-$%
     43   1. The 4 lepton final state: $pp \to H\to Z Z \to e^+e^- \mu^+ \mu^-$
    4444      * Signal
    4545         * Events:  [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/h4l-signal.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/h4l-signal.lhco.gz Detector Level]   
     
    4949         * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/h4l-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/h4l-lhco.pdf Detector Level]
    5050
    51    1. The 2 lepton + missing Et final state: %$pp \to H\to W^+ W^- \to e^- \bar \nu_e \mu^+ \nu_\mu $%
     51   1. The 2 lepton + missing Et final state: $pp \to H\to W^+ W^- \to e^- \bar \nu_e \mu^+ \nu_\mu $
    5252      * Signal
    5353         * Events:  [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-signal.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-signal.lhco.gz Detector Level]
     
    5656         * Events:  [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background.lhco.gz Detector Level]
    5757         * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background-lhco.pdf Detector Level]
    58    1. Top associated production %$pp \to t\bar tH$% with %$H \to b \bar b$%
     58   1. Top associated production $pp \to t\bar tH$ with $H \to b \bar b$
    5959      *  Signal + Background samples:
    6060         * Events:  [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/ttbb.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/ttbb.lhco.gz Detector Level]
     
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