Abstract
We carry out a systematic flavor SU(3) analysis of D-meson decays including the leading order symmetry breaking effects. We find that SU(3) breaking can easily account for the recent LHCb measurement of the difference in CP asymmetries in the decays of D0 into K+K− and π+π− mesons, once an enhancement mechanism, similar to the Δ=1/2 rule in neutral kaon decays is assumed. As a byproduct of the analysis, one can make predictions regarding the individual asymmetries in K+K−, π+π−, as well as the D0→π0π0 decay channels. Moreover, we find that the asymmetry in the decay D+→π+π0 vanishes in the leading approximation.
Highlights
AND SUMMARYIt is commonly believed that the amount of CP violation (CPV) in D decays is small within the Standard Model (SM) and any appreciable CPV effects would be an indication of new physics
We find that SU (3) breaking can account for the recent LHCb measurement of the difference in CP asymmetries in the decays of D0 into K+K− and π+π− mesons, once an enhancement mechanism, similar to the ∆ = 1/2 rule in neutral kaon decays is assumed
Under the fairly general assumptions that a)only leading symmetry breaking effects, e.g., first order in ms, need be retained, and b)lower SU (3) representations of the weak Hamiltonian lead to somewhat enhanced hadronic matrix elements, much as in the ∆I = 1/2 rule in neutral kaon decays, we find that the observed asymmetry can be reconciled with the measured values for the partial rates without an unacceptably large enhancement of matrix elements
Summary
It is commonly believed that the amount of CP violation (CPV) in D decays is small within the Standard Model (SM) and any appreciable CPV effects would be an indication of new physics. Is uncertain because we lack tools to reliably calculate matrix elements in QCD
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