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# Introduction
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Migrating LIV analysis to bilby and making it compatible with Asimov
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This is the review page of the Modified Dispersion Relation test implementation in bilby.
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## Outline of the Test
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- Details of LIV analysis: see Section:VII of [arxiv:1903.04467](https://arxiv.org/pdf/1903.04467.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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## Parametrizations
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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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