Theoretical analysis of direct $CP$ violation and differential decay width in $D^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in phase space around the resonances ${\rho }^0(770)$ and $f_0(500)$

Abstract

We perform a theoretical study on direct $CP$ violation in $D^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in phase space around the intermediate states ${\rho }^0(770)$ and $f_0(500)$. The possible interference between the amplitudes corresponding to the two resonances is taken into account, and the relative strong phase of the two amplitudes is treated as a free parameter. Our analysis shows that by properly chosen the strong phase, both the $CP$ violation strength and differential decay width accommodate to the experimental results.

15 pages, 5 figures

References in corpus (15)

• Big-Bang Nucleosynthesis
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ and $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ decays
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ and $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays
• Measurement of $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ and $D^0\to {\pi }^{-}{\pi }^{+}$ decays
• Measurement of the difference of CP-violating asymmetries in D0 -> K+K- and D0 ->pi+pi- decays at CDF
• CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair
• CP asymmetries in three-body B+- decays to charged pions and kaons
• CP violation and CPT invariance in B+- decays with final state interactions
• Measurements of Direct CP Violating Asymmetries in Charmless Decays of Strange Bottom Mesons and Bottom Baryons
• Search for CP violation in the decay $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Coupled-channel analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay
• Study of CP violation in ${\Lambda }_c^{+}$ decay
• CP violation induced by the interference of scalar and vector resonances in three-body decays of bottom mesons

Cited by in corpus (1)

• Forward-backward asymmetry induced $CP$ asymmetry of $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$