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FIX: use squared FormFactor in EnergyDependentWidth #425

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merged 1 commit into from
May 21, 2024

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Fix-up to #422, which redefined EnergyDependentWidth as (see v0.15.2)

$$\Gamma_{0}\left(s\right) = \frac{\Gamma_{0} \mathcal{F}_{L}\left(s, m_{a}, m_{b}\right) \rho\left(s\right)}{\mathcal{F}_{L}\left(m_{0}^{2}, m_{a}, m_{b}\right) \rho_{0}\left(m_{0}^{2}\right)}$$

instead of (see v0.15.1)

$$\Gamma_{0}\left(s\right) = \frac{\Gamma_{0} B_{L}^2\left(q^2\left(s\right)\right) \rho\left(s\right)}{B_{L}^2\left(q^2_{0}\left(m_{0}^{2}\right)\right) \rho_{0}\left(m_{0}^{2}\right)}\,.$$

This is not equivalent, because FormFactor is defined as:

$$\mathcal{F}_{L}\left(s, m_{a}, m_{b}\right) = \sqrt{B_{L}^2\left(d^{2} q^2\left(s\right)\right)}\,.$$

@redeboer redeboer added the 🐛 Bug Something isn't working label May 21, 2024
@redeboer redeboer added this to the 0.15.3 milestone May 21, 2024
@redeboer redeboer self-assigned this May 21, 2024
@redeboer redeboer changed the title FIX: use squared FormFactor in energy-dependent width FIX: use squared FormFactor in EnergyDependentWidth May 21, 2024
@redeboer redeboer enabled auto-merge (squash) May 21, 2024 09:15
@redeboer redeboer merged commit 56914e8 into ComPWA:main May 21, 2024
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@redeboer redeboer deleted the fix-EnergyDependentWidth branch May 21, 2024 09:16
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