SU(3) in D decays: From $30\%$ symmetry breaking to $10^{-4}$ precision

Abstract

Flavor SU(3) symmetry, including $30\%$ first order SU(3) breaking, has been shown to describe adequately a vast amount of data for charmed meson decays to two pseudoscalar mesons and to a vector and a pseudoscalar meson. We review a recent dramatic progress achieved by applying a high order perturbation expansion in flavor SU(3) breaking and treating carefully isospin breaking. We identify a class of U-spin related $D^0$ decays to pairs involving charged pseudoscalar or vector mesons, for which high-precision nonlinear amplitude relations are predicted. Symmetry breaking terms affecting these relations are fourth order U-spin breaking, and terms which are first order in isospin breaking and second order in U-spin breaking. The predicted relations are shown to hold experimentally at a precision varying between $10^{-3}$ and $10^{-4}$, in agreement with estimates of high order terms. We also discuss amplitude relations for $D^0$ decays to pairs of neutral pseudoscalar mesons, and relations for rate asymmetries between decays involving $K_S^0$ and $K_L^0$ which hold up to second order U-spin breaking.

24 pages, to be published in Physical Review D

References in corpus (7)

• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• Determination of the $\eta$-${\eta }^{\prime }$ mixing angle
• Strong phases, asymmetries, and SU(3) symmetry breaking in D --> K pi decays
• Direct CP Violation in D Decays in view of LHCb and CDF Results
• Interference between doubly-Cabibbo-suppressed and Cabibbo-favored amplitudes in $D^0\to K_S({\pi }^0,\eta ,{\eta }^{\prime })$ decays
• New physics in singly Cabibbo-suppressed D decays
• High-precision $D^0\to V^{+}{P}^{-}$ - more accurate than $D^0\to P^{+}{P}^{-}$

Cited by in corpus (6)

• On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays
• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• $U$-spin sum rules for two-body decays of bottom baryons