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A bstract Recent LHCb data shows that the direct CP asymmetries of the decay modes D 0 → π + π − and D 0 → K + K − have the same sign, violating an improved U -spin limit sum rule in an unexpected way at 2. 1 σ. From the new data, we determine for the first time the imaginary part of the CKM-subleading, U -spin breaking ∆ U = 1 correction to the U -spin limit ∆ U = 0 amplitude. The imaginary part of the ∆ U = 0 amplitude is determined by a₂^dir ∆ a CP dir. The corresponding strong phases are yet unknown and could be extracted in the future from time-dependent measurements. Assuming O (1) O 1 strong phases due to non-perturbative rescattering, we find the ratio of U -spin breaking to U -spin limit contributions to the CKM-subleading amplitudes to be (173-- ₇₄^+85) \% 173 – 74 + 85 %. This highly exceeds the Standard Model (SM) expectation of ~ 30% U -spin breaking, with a significance of 1. 95 σ. If this puzzle is confirmed with more data in the future, in the SM it would imply the breakdown of the U -spin expansion in CKM-subleading amplitudes of charm decays. The other solution are new physics models that generate an additional ∆ U = 1 operator, leaving the U -spin power expansion intact. Examples for the latter option are an extended scalar sector or flavorful Z′ models.
Stefan Schacht (Mon,) studied this question.