The Standard Model confronts CP violation in $D^0 \to π^+π^-$ and $D^0 \to K^+K^-$

Details The Standard Model confronts CP violation in $D^0 \to π^+π^-$ and $D^0 \to K^+K^-$ The Standard Model confronts CP violation in $D^0 \to π^+π^-$ and $D^0 \to K^+K^-$

2012-03-14

arxiv.org/abs/1203.3131v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 7 figures. v2: references added, final version to appear in JHEP

Scientific paper

The recently measured direct CP asymmetries in the processes $D^0\to \pi^+\pi^-$ and $D^0\to K^+K^-$ show a significant deviation from the naive Standard Model expectation. Using a general parameterization of the decay amplitudes, we show that the measured branching ratios imply large SU(3) breaking and large violations of the naive $1/N_c$ counting. Furthermore, rescattering constrains the I=0 amplitudes in the $\pi\pi$ and $KK$ channels. Combining all this information, we show that, with present errors, the observed asymmetries are marginally compatible with the Standard Model. Improving the experimental accuracy could lead to an indirect signal of new physics.

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