SU(3) in D decays: From 30% symmetry breaking to 104 precision

Michael Gronau
Phys. Rev. D 91, 076007 – Published 21 April 2015

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 D0 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 within experimental errors at a precision varying between 103 and 104, in agreement with estimates of high-order terms. Improved branching ratio measurements for D0K+ρ,K*+π and for decay modes involving three other pairs of charged pseudoscalar and vector mesons could further sharpen two of these precision tests. We also obtain amplitude relations for D0 decays to pairs of neutral pseudoscalar mesons, and relations for rate asymmetries between decays involving KS0 and KL0, which hold up to second-order U-spin breaking at a level of several percent.

  • Received 19 January 2015

DOI:https://doi.org/10.1103/PhysRevD.91.076007

© 2015 American Physical Society

Authors & Affiliations

Michael Gronau

  • Physics Department, Technion-Israel Institute of Technology, Haifa 32000, Israel

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Issue

Vol. 91, Iss. 7 — 1 April 2015

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