Changes between Version 5 and Version 6 of FCNC4F


Ignore:
Timestamp:
11/03/18 20:40:53 (21 months ago)
Author:
YoavAfik
Comment:

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  • FCNC4F

    v5 v6  
     1$wgUseTeX = true;
     2
    13== 4-fermion EFT with FCNC implementation
    24
     
    1618The lagrangian of the model is described by: \\
    1719
     20{{{
     21#!latex
     22\begin{eqnarray}
     23\mathcal{L}_{eff} = \frac{C_{ij}^{U \mu}}{v^2} (\bar{u}_{L}^{i} \gamma_{\mu} u_{L}^{j}) (\bar{\mu}_{L} \gamma_{\mu} \mu_{L}) + \frac{C_{ij}^{D \mu}}{v^2} (\bar{d}_{L}^{i} \gamma_{\mu} d_{L}^{j}) (\bar{\mu}_{L} \gamma_{\mu} \mu_{L}),
     24\end{eqnarray}
     25}}}
    1826
    19 [[Image(Lagrangian.png)]]
    20 
    21 [[Image(matrix.png)]]
     27At the first model, only the off-diagonal elements for the b-s admixtures are considered, since those are the ones related to the observed b-s-l-l anomalies.
     28The matrices take the form:
     29{{{
     30#!latex
     31\begin{eqnarray}
     32C_{ij}^{U \mu} =
     33\begin{pmatrix} C_{u \mu} & 0 & 0 \\ 0 & C_{c \mu} & 0 \\ 0 & 0 & C_{t \mu} \end{pmatrix}
     34,
     35C_{ij}^{D \mu} =
     36\begin{pmatrix} C_{d \mu} & 0 & 0 \\ 0 & C_{s \mu} & C_{b s \mu}^{*} \\ 0 & C_{b s \mu} & C_{t \mu} \end{pmatrix}
     37\end{eqnarray}
     38}}}
    2239
    2340
    24 See more details in:
    25 https://link.springer.com/article/10.1007/JHEP08(2018)056
     41A more general model is also attached, contains the full terms:
     42#!latex
     43\begin{eqnarray}
     44C_{ij}^{U \mu} =
     45\begin{pmatrix} C_{u \mu} & 0 & 0 \\ 0 & C_{c \mu} & 0 \\ 0 & 0 & C_{t \mu} \end{pmatrix}
     46,
     47C_{ij}^{D \mu} =
     48\begin{pmatrix} C_{d \mu} & 0 & 0 \\ 0 & C_{s \mu} & C_{b s \mu}^{*} \\ 0 & C_{b s \mu} & C_{t \mu} \end{pmatrix}
     49\end{eqnarray}
     50}}}
     51
     52Similar couplings to electrons are considered as well for complicity.
     53
    2654
    2755
     
    3563add process p p > mu+ mu- j j
    3664}}}
     65
     66== Reference:
     67* Please cite as: Afik, Y., Cohen, J., Gozani, E. et al. J. High Energ. Phys. (2018) 2018: 56. 
     68* Link to paper: https://link.springer.com/article/10.1007/JHEP08(2018)056