# Changes between Version 5 and Version 6 of FCNC4F

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Timestamp:
11/03/18 20:40:53 (2 years ago)
Comment:

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• ## FCNC4F

 v5 \$wgUseTeX = true; == 4-fermion EFT with FCNC implementation The lagrangian of the model is described by: \\ {{{ #!latex \begin{eqnarray} \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}), \end{eqnarray} }}} [[Image(Lagrangian.png)]] [[Image(matrix.png)]] At 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. The matrices take the form: {{{ #!latex \begin{eqnarray} C_{ij}^{U \mu} = \begin{pmatrix} C_{u \mu} & 0 & 0 \\ 0 & C_{c \mu} & 0 \\ 0 & 0 & C_{t \mu} \end{pmatrix} , C_{ij}^{D \mu} = \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} \end{eqnarray} }}} See more details in: https://link.springer.com/article/10.1007/JHEP08(2018)056 A more general model is also attached, contains the full terms: #!latex \begin{eqnarray} C_{ij}^{U \mu} = \begin{pmatrix} C_{u \mu} & 0 & 0 \\ 0 & C_{c \mu} & 0 \\ 0 & 0 & C_{t \mu} \end{pmatrix} , C_{ij}^{D \mu} = \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} \end{eqnarray} }}} Similar couplings to electrons are considered as well for complicity. add process p p > mu+ mu- j j }}} == Reference: * Please cite as: Afik, Y., Cohen, J., Gozani, E. et al. J. High Energ. Phys. (2018) 2018: 56. * Link to paper: https://link.springer.com/article/10.1007/JHEP08(2018)056