Chiral dynamics, S-wave contributions and angular analysis in D→ππℓν¯

Shi, Yu-Ji (INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Department of Physics and Astronomy, Shanghai Jiao-Tong University, 0000 0004 0368 8293, 200240, Shanghai, China) ; Wang, Wei (INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Department of Physics and Astronomy, Shanghai Jiao-Tong University, 0000 0004 0368 8293, 200240, Shanghai, China) ; Zhao, Shuai (INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Department of Physics and Astronomy, Shanghai Jiao-Tong University, 0000 0004 0368 8293, 200240, Shanghai, China)

07 July 2017

Abstract: We present a theoretical analysis of the D-→π+π-ℓν¯ and D¯0→π+π0ℓν¯ decays. We construct a general angular distribution which can include arbitrary partial waves of ππ . 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 ρ0 resonance, and the S-wave contribution is analyzed using the unitarized chiral perturbation theory. The obtained branching fraction for D→ρℓν , 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 π – π scattering phase shift.


Published in: EPJC 77 (2017) 452
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-5016-1
License: CC-BY-3.0



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