Bounding hadronic uncertainties in $c\to u$ decays

Abstract

Time-dependent CP asymmetry measurements in $D\to h^{+}{h}^{-}$ decays, where $h=\pi$ or $\rho$ can be used to constrain the angle ${\beta }_c$ of the $cu$ unitarity triangle up to theoretical uncertainties. Here we discuss the theoretical uncertainty from penguin contributions that can be mitigated through the use of isospin analyses. We show that uncertainty from penguin pollution on a measurement of ${\beta }_c$ (or alternatively the mixing phase) in $D^0\to {\pi }^{+}{\pi }^{-}$ (${\rho }^{+}{\rho }^{-}$) decays is $2.7^{\circ }$ ($4.6^{\circ }$). We also comment on the applicability of this method to $D^0\to \rho \pi$ decays for which measurements of weak phases with a precision below the one degree level may be possible.

6 pages, 4 figures

References in corpus (7)

• Constraints on new physics from the quark mixing unitarity triangle
• Measurement of the CP-violating phase ${\varphi }_s$ in ${\overline{B}}_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• Measurement of D0-D0bar mixing parameters and search for CP violation using D0->K+pi- decays
• Observation of Direct CP-Violation in B0 --> pi+pi- Decays and Model-Independent Constraints on phi2
• Measurement of CP-violating asymmetries in B^0 -> (rho pi)^0 decays using a time-dependent Dalitz plot analysis
• Addendum to "High order U-spin breaking: A precise amplitude relation in D0 decays"
• Isospin analysis of D0 decay to three pions

Cited by in corpus (4)

• "Could Charm (\& $\tau$) Transitions be the `Poor Princesses' of Deeper Understanding of Fundamental Dynamics?" -- or -- "Finding Novel Forces?"
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• CP Asymmetries in Many-Body Final States in Beauty & Charm Transitions
• Measurement of the time-integrated $CP$ asymmetry in $D^0\to {\pi }^0{\pi }^0$ decays at Belle II