arXiv:1912.09616·v1·High Energy Physics — Phenomenology

Isospin violating decay $D_{s}^{*} \to D_{s} π^{0}$ in chiral perturbation theory

Bin Yang🇨🇳 · Bo Wang🇨🇳 · Lu Meng🇨🇳 · Shi-Lin Zhu🇨🇳

We systematically calculate the isospin violating decay, $D_{s}^{*} \to D_{s} π^{0}$ , with the heavy meson chiral perturbation theory up to $O (p^{3})$ including the loop diagrams. The $O (p^{3})$ tree level amplitudes contain four undetermined LECs. We use two strategies to estimate them. With the nonanalytic dominance approximation, we get $Γ [D_{s}^{*} \to D_{s} π^{0}] = (3.38 \pm 0.12)$ 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 $O (p^{3})$ corrections might be significant.

Comments: 8 pages,5 figures

Isospin violating decay Ds∗​→Ds​π0 in chiral perturbation theory

Abstract

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Isospin violating decay $D_{s}^{*} \to D_{s} π^{0}$ in chiral perturbation theory

Citation historyopen in Citation History ↗