U-Spin Symmetry in Doubly Cabibbo-Suppressed Charmed Meson Decays

Abstract

We prove a U-spin amplitude triangle relation among doubly Cabibbo-suppressed (DCS) charmed meson decays, $D^0\to K^{+}{\pi }^{-},D^0\to K^0{\pi }^0$ and $D_s^{+}\to K^0{K}^{+}$, congruent to an isospin relation among corresponding Cabibbo-favored (CF) decays. U-spin breaking in relative phases between CF and DCS amplitudes affects time-dependent studies of $D^0-\od$ mixing. Comparison of final state phase patterns in DCS and CF amplitude triangles, which can shed some light on these phases, is carried out in a phenomenological framework incorporating resonance contributions.

Two references updated, to appear in Phys. Lett. B

References in corpus (6)

• Lessons from CLEO and FOCUS Measurements of D0-anti-D0 Mixing Parameters
• Search for D0-D0B Mixing
• U-Spin Symmetry in Charmless B Decays
• Strong phases and D0-anti-D0 mixing parameters
• Experimental Puzzles in Heavy Flavor Decays - Anomalously high ${\eta }^{\prime }$ appearance in charmless strange B decays - Flavor SU(3) breaking in Charm Decays
• Extrapolating SU(3) breaking effects from D to B decays

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• Repercussions of Flavour Symmetry Breaking on CP Violation in D-Meson Decays
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• Measuring $D^0-{\bar{D}}^0$ Mixing and Relative Strong Phases at a Charm Factory
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• Hadronic D decays involving even-parity light mesons
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• General Analysis of U-Spin Breaking in B Decays
• Final-State Phases in Doubly-Cabibbo-Suppressed Charmed Meson Nonleptonic Decays
• Addendum to "High order U-spin breaking: A precise amplitude relation in D0 decays"
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• Revisiting D0-D0bar mixing using U-spin
• Measurement of the Ratio of Branching Fractions B(D0 -> K+ pi-)/B(D0 -> K- pi+) using the CDF II Detector
• SU(3) in D decays: From $30\%$ symmetry breaking to $10^{-4}$ precision
• Interference between doubly-Cabibbo-suppressed and Cabibbo-favored amplitudes in $D^0\to K_S({\pi }^0,\eta ,{\eta }^{\prime })$ decays
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• CKM Phases from CP Asymmetries
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
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