Changes between Version 4 and Version 5 of HiggsPheno
 Timestamp:
 04/19/12 09:08:36 (8 years ago)
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HiggsPheno
v4 v5 15 15 In 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, 16 16 17 %$\begin{cal}L\end{cal}=C_H\, H\, G_{\mu\nu}^a\, G_a^{\mu\nu}$,17 $\begin{cal}L\end{cal}=C_H\, H\, G_{\mu\nu}^a\, G_a^{\mu\nu}$, 18 18 19 19 where $C_H$ is an effective (dimensionful) coupling constant and $G_{\mu\nu}^a$ denotes the gluon field strength tensor. … … 27 27 Exercise (DIFFICULT but interesting!!): Use the all the material above to derive the EFT description of a pseudoscalar Higgs, A, 28 28 29 %$\begin{cal}L\end{cal}=C_A\, A\, G_{\mu\nu}^a\, {\tilde G}_a^{\mu\nu}$,29 $\begin{cal}L\end{cal}=C_A\, A\, G_{\mu\nu}^a\, {\tilde G}_a^{\mu\nu}$, 30 30 31 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 rules32 ${\tilde G}''a^{\mu\nu}=\frac12 \epsilon^{\mu\nu\rho\sigma} G''a^{\rho\sigma}$ is its dual. Compute the loop amplitude, derive the Feynman rules 33 33 in the large top mass limit and calculate the LO and NLO cross sections at the LHC. 34 34