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change A to pi K

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Justus Kuhlmann 2024-08-01 09:46:03 +02:00
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@ -196,7 +196,7 @@
\item Example: Calculate $f_{\pi K}$ with stabilised Wilson fermions
\item symmetric point \openlat~ensembles
\item improve with $\ca = 0$ vs $\ca(g_0^2)|_{\rm chi}$ vs $\ca(g_0^2)|_{\rm sym}$
$$f_{\rm A}^{\rm RI} = Z_{\rm A} (1+b_{\rm A} am_{\rm q}+\bar{b}_{\rm A} a\Tr[M_{\rm q}])\frac{\sqrt{2} \mathcal{A}_{\rm A_0P}}{\sqrt{\mathcal{A}_{\rm PP} m_\pi}}$$
$$f_{\pi K}^{\rm RI} = Z_{\rm A} (1+b_{\rm A} am_{\rm q}+\bar{b}_{\rm A} a\Tr[M_{\rm q}])\frac{\sqrt{2} \mathcal{A}_{\rm A_0P}}{\sqrt{\mathcal{A}_{\rm PP} m_\pi}}$$
with $C_{XX} \propto \mathcal{A}_{XX}{\rm e}^{-mx_0}$
\item renormalisation: $Z_{\rm A}$ preliminary, $b_{\rm A}$ from pert. theory, $\bar{b}_{\rm A}$ neglected
\end{itemize}