Changes between Version 5 and Version 6 of FCNC4F

Timestamp:

Nov 3, 2018, 8:40:53 PM (6 years ago)

Author:

Yoav Afik

Comment:

--

FCNC4F

@@ +1 @@
+$wgUseTeX = true;
+
 == 4-fermion EFT with FCNC implementation
 
@@ -16 +18 @@
 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.
+
 
 
@@ -35 +63 @@
 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