From ded1023c249c3a8260ab35c0855a038e54e57820 Mon Sep 17 00:00:00 2001 From: nucleosynthesis Date: Mon, 11 Dec 2023 14:03:29 +0000 Subject: [PATCH] Fix issue with math presentation in interference models --- docs/part2/physicsmodels.md | 11 +++++++++-- 1 file changed, 9 insertions(+), 2 deletions(-) diff --git a/docs/part2/physicsmodels.md b/docs/part2/physicsmodels.md index a00cf0249d8..e7c3c54c1d8 100644 --- a/docs/part2/physicsmodels.md +++ b/docs/part2/physicsmodels.md @@ -255,7 +255,11 @@ with the number of POIs, and can get extremely expensive for 10 or more, as may be encountered often with EFT analyses. To alleviate this issue, an accelerated interference modeling technique is implemented for template-based analyses via the `interferenceModel` physics model. In this model, each bin yield $y$ is parameterized -$$y(\theta) = y_0 (\theta^\top M \theta)$$ + +$$ +y(\theta) = y_0 (\theta^\top M \theta) +$$ + as a function of the POI vector $\theta$, a nominal template $y_0$, and a scaling matrix $M$. To see how this parameterization relates to that of the previous section, we can define: @@ -297,7 +301,10 @@ where the parameters are declared using RooFit's [factory syntax](https://root.cern.ch/doc/v622/classRooWorkspace.html#a0ddded1d65f5c6c4732a7a3daa8d16b0) and each row of the `scaling` field represents the scaling information of a bin, e.g. if $y_0 = |A_b|^2$ then each row would contain three entries: -$$|A_s|^2 / |A_b|^2,\quad \Re(A_s^* A_b)/|A_b|^2,\quad 1$$ + +$$ +|A_s|^2 / |A_b|^2,\quad \Re(A_s^* A_b)/|A_b|^2,\quad 1 +$$ For several coefficients, one would enumerate as follows: ```python