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documentation:details:aqgc [2013/06/25 21:41]
feigl
documentation:details:aqgc [2013/07/11 11:07]
feigl
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 +===== Conventions in VBFNLO for Anomalous Quartic Gauge Boson Couplings =====
 +
 +\\
 +
 +VBFNLO allows for calculations including anomalous gauge boson couplings in many processes.
 +
 +Both dimension-6 and dimension-8 operators are included in the effective Lagrangian
 +which is used for calculations with anomalous gauge boson couplings.
 +They full set of operators can be used in the diboson, triboson and $VVjj$ in VBF production processes.
 +The dimension-6 operators are constructed according to Refs. [1,2] and
 +the dimension-8 operators are taken from Ref. [3].
 +More details on the implementation in VBFNLO can be found in
 +Refs. [4,5,6].
 +
 +For comparisons with programs that use the definition from [3] (for example MadGraph5 [7] with
 +the UFO file written by \'Eboli et 
 +al. [8], 
 +you should note that our definition of the field strength tensors is slightly different than the one
 +of [3]. Therefore you have to rescale the coupling strengths by
 +
 +\begin{eqnarray*}
 + f_{S,0,1}   &=&                            f_{S,0,1}^\textrm{\'Eboli}  \\
 + f_{M,0,1}   &=& - \frac{1}{g^2}      \cdot f_{M,0,1}^\textrm{\'Eboli}  \\
 + f_{M,2,3}   &=& - \frac{4}{g'^2}     \cdot f_{M,2,3}^\textrm{\'Eboli}  \\
 + f_{M,4,5}   &=& - \frac{2}{g g'    \cdot f_{M,4,5}^\textrm{\'Eboli}  \\
 + f_{M,6,7}   &=& - \frac{1}{g^2}      \cdot f_{M,6,7}^\textrm{\'Eboli}  \\
 + f_{T,0,1,2} &=&   \frac{1}{g^4}      \cdot f_{T,0,1,2}^\textrm{\'Eboli}\\
 + f_{T,5,6,7} &=&   \frac{4}{g^2 g'^2} \cdot f_{T,5,6,7}^\textrm{\'Eboli}\\
 + f_{T,8,9}   &=&   \frac{16}{g'^4}    \cdot f_{T,8,9}^\textrm{\'Eboli}
 +\end{eqnarray*}
 +
 +where $g$ and $g'$ are the SU(2) and U(1) gauge couplings.
 +The numerical values for $g$ and $g'$ used in the calculation are printed out at the beginning of the VBFNLO run.
 +
 +
 +\\
 +
 +\\
 +
 +
 +----
 +
 +[1] K. Hagiwara, R. Szalapski and D. Zeppenfeld, "Anomalous Higgs boson production and decay", Phys. Lett. B318 (1993) 155, hep-ph/9308347 .
 +
 +[2] K. Hagiwara, S. Ishihara, R. Szalapski and D. Zeppenfeld, "Low-energy effects of new interactions in the electroweak boson sector", Phys. Rev. D48 (1993) 2182.
 +
 +[3] O. J. P. Eboli, M. C. Gonzalez-Garcia and J. K. Mizukoshi, "pp→jje±μ±νν and jje±μ∓νν at O(α6em) and O(α4emα2S) for the study of the quartic electroweak gauge boson vertex at LHC", Phys. Rev. D74 (2006) 073005, hep-ph/0606118 .
 +
 +[4] N. Greiner, "Anomale Kopplungen bei der W-Paar-Produktion in Vektor-Boson-Fusion", Diploma Thesis, ITP Karlsruhe 2006, http://www.itp.kit.edu/diplomatheses.en.shtml .
 +
 +[5]  B. Feigl, "Anomale Vier-Vektorboson-Kopplungen bei der Produktion von drei Vektorbosonen am LHC", Diploma Thesis, ITP Karlsruhe 2009, http://www.itp.kit.edu/diplomatheses.en.shtml .
 +
 +[6] O. Schlimpert, "Anomale Kopplungen bei der Streuung schwacher Eichbosonen", Diploma Thesis, ITP Karlsruhe 2013, http://www.itp.kit.edu/diplomatheses.en.shtml .
 +
 +[7] J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, JHEP 1106 (2011) 128 [arXiv:1106.0522 [hep-ph]].
 +
 +[8] available from http://feynrules.irmp.ucl.ac.be/wiki/AnomalousGaugeCoupling