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arXiv · 2011.03201

Width effects in resonant three-body decays: $B$ decay as an example

Hai-Yang Cheng·Cheng-Wei Chiang·Chun-Khiang Chua
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Abstract

For three-body hadron decays mediated by intermediate resonances with large widths, we show how to properly extract the quasi-two-body decay rates for a meaningful comparison with the corresponding theoretical estimates, using several $B$ decays as explicit examples. We compute the correction factor from finite width effects in the QCD factorization approach, and make a comparison with that using the experimental parameterization in which the momentum dependence in the weak dynamics is absent. Although the difference is generally less than $10\%$ for tensor and vector resonances, it can be as large as $(25-40)\%$ for scalar resonances. Our finding can in fact be applied to general quasi-two-body decays.

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Hai-Yang Cheng, Cheng-Wei Chiang, Chun-Khiang Chua. 2020-12-28. Width effects in resonant three-body decays: $B$ decay as an example. https://doi.org/10.1016/j.physletb.2020.136058

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