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- Details of LIV analysis: see Section:VII of [arxiv:1903.04467](https://arxiv.org/pdf/1903.04467.pdf), [Note](https://dcc.ligo.org/DocDB/0140/T1700112/001/Notes.pdf)
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- Lalinference implementation code review page: [O3a-Review](https://wiki.ligo.org/CBC/TestingGR/LIV_Reruns_For_Porting#Review_statement)
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1. Parametrization in log10_lambda_eff, used in O3 and implemented in lal_simulation
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```math
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\delta \Phi_{\alpha}(f)=sign(A_\alpha) \begin{cases}\frac{\pi D_L}{\alpha-1}\lambda_{A,eff}^{\alpha-2}(\frac f c)^{\alpha-1} & \alpha \neq 1\\\frac{\pi D_L}{\lambda_{A,eff}}\ln(\frac{\pi G \mathcal{M}f}{c^3})& \alpha = 1\end{cases}
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```
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2. Parametrization in A_eff, implemented in bilby as phase correction to the waveform
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```math
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\delta \Phi_{\alpha}(f)= -\frac{\pi D_L h^{\alpha-2}}{c}A_{\alpha,eff}(f )^{\alpha-1}
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```
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- [Technical note in implementation](https://git.ligo.org/tomasz.baka/liv-automation/-/wikis/Technical-note-on-implementation)
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## Scripts
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