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Fix issue with math presentation in interference models
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nucleosynthesis committed Dec 11, 2023
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11 changes: 9 additions & 2 deletions docs/part2/physicsmodels.md
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Expand Up @@ -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:

Expand Down Expand Up @@ -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
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