this is for holding javascript data
Patrick Janot edited Statistical analysis.tex
about 9 years ago
Commit id: f8d9cbc96157470f46dcbeb84943bb2948063cc0
deletions | additions
diff --git a/Statistical analysis.tex b/Statistical analysis.tex
index 0f98a12..0e986ae 100644
--- a/Statistical analysis.tex
+++ b/Statistical analysis.tex
...
In the first configuration of Ref.~\cite{Baer_2013}, only the three coefficients $F_{1V}^\gamma$, $F_{1V}^Z$ and $F_{1A}^Z$ are allowed to vary. The other five form factors are fixed to their standard model values. In this simplified situation, Eq.~\ref{eq:optimal} reads
\begin{equation}
S(x,\theta) = S^0(x,\theta) +
delta F_{1V}^\gamma 2\sin\theta_W
\delta F_{1V}^\gamma f_A^\gamma +
delta F_{1V}^Z 2\sin\theta_W
\delta F_{1V}^Z f_A^Z +
delta F_{1A}^Z 2\sin\theta_W
\delta F_{1A}^Z f_B^Z \ ,
\end{equation}
which leads to the following $3\times 3$ covariance matrix $V = 4\sin^2\theta_W
\times {\cal L}
\times X$ with
\begin{eqnarray}
X_{11} = \int {\rm d}\Omega {f_A^\gamma \times f_A^\gamma \over S^0} \ , & X_{12} = \int {\rm d}\Omega {f_A^\gamma \times f_A^Z \over S^0} \ , & X_{13} = \int {\rm d}\Omega {f_A^\gamma \times f_B^Z \over S^0} \ , \\
& X_{22} = \int {\rm d}\Omega {f_A^Z \times f_A^Z \over S^0} \ , & X_{12} = \int {\rm d}\Omega {f_A^Z \times f_B^Z \over S^0} \ , \\