Chiral dynamics, S-wave contributions and angular analysis in $D\to \pi\pi \ell\bar\nu$
| Autor: | Shi, Yu-Ji, Wang, Wei, Zhao, Shuai |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. C (2017) 77:452 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjc/s10052-017-5016-1 |
| Popis: | We present a theoretical analysis of the $D^-\to \pi^+\pi^- \ell\bar\nu$ and $\bar D^0\to \pi^+\pi^0 \ell\bar\nu$ decays. We construct a general angular distribution which can include arbitrary partial waves of $\pi\pi$. Retaining the S-wave and P-wave contributions we study the branching ratios, forward--backward asymmetries and a few other observables. The P-wave contribution is dominated by $\rho^0$ resonance, and the S-wave contribution is analyzed using the unitarized chiral perturbation theory. The obtained branching fraction for $D\to \rho\ell\nu$, at the order $10^{-3}$, is consistent with the available experimental data. The S-wave contribution has a branching ratio at the order of $10^{-4}$, and this prediction can be tested by experiments like BESIII and LHCb. Future measurements can also be used to examine the $\pi$--$\pi$ scattering phase shift. Comment: 19 pages, 9 figures, 2 tables. To match the published version |
| Databáze: | arXiv |
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