Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into $\pi^+\pi^-$
Autor: | Shi, Yu-Ji, Wang, Wei |
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Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Phys. Rev. D 92, 074038 (2015) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.92.074038 |
Popis: | In this work, we study the semileptonic decay modes $B_s^0\to \pi^+\pi^-\ell^+\ell^-$ and $D_s^+\to \pi^+\pi^-\ell^+ \nu$ in the kinematics region where the $\pi^+\pi^-$ system has a invariant mass in the range $0.5$-$1.3$ GeV. These processes are valuable towards the determination of S-wave $\pi^+\pi^-$ light-cone distribution amplitudes whose normalizations are scalar form factors. We compare the results for scalar form factors predicted in unitarized chiral perturbation theory and extracted from the data on the $B_s\to J/\psi \pi^+\pi^-$. Then the $B_s\to \pi^+\pi^-$ and $D_s\to \pi^+\pi^-$ form factors are calculated in light-cone sum rules, based on which predictions for differential decay widths are made. The results are in good agreement with the experimental data on the $B_s$ and $D_s$ decays into $\pi^+\pi^-$. More accurate measurements at BEPC, LHC and KEKB in future will be helpful to examine our formalism and constrain the input parameters more precisely. Comment: 15 pages,9 figures |
Databáze: | arXiv |
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