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arXiv · 1912.09616

Isospin violating decay $D^*_s \to D_s π^0$ in chiral perturbation theory

Bin Yang·Bo Wang·Lu Meng·Shi-Lin Zhu
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Abstract

We systematically calculate the isospin violating decay, $D_s^*\to D_sπ^0$, with the heavy meson chiral perturbation theory up to $\mathcal{O}(p^3)$ including the loop diagrams. The $\mathcal{O}(p^3)$ tree level amplitudes contain four undetermined LECs. We use two strategies to estimate them. With the nonanalytic dominance approximation, we get $Γ[D_s^\ast\to D_sπ^0]=(3.38\pm0.12)$ eV. With the naturalness assumption, we give a possible range of the isospin violating decay width, $[1.11-6.88]$ eV. We find that the contribution of the $\mathcal{O}(p^3)$ corrections might be significant.

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Bin Yang, Bo Wang, Lu Meng, Shi-Lin Zhu. 2019-12-20. Isospin violating decay $D^*_s \to D_s π^0$ in chiral perturbation theory. https://doi.org/10.1103/physrevd.101.054019

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