2022
DOI: 10.48550/arxiv.2207.08539
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A $U$-Spin Anomaly in Charm CP Violation

Abstract: 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 2.1σ. From the new data, we determine for the first time the imaginary part of the CKMsubleading, 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 ∆a dir CP . The corresponding strong phases are yet unknown and could be extracted in the… Show more

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Cited by 3 publications
(4 citation statements)
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References 44 publications
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“…1. The small value of A CP (K + K − ), combined with ∆A CP (green), implies a sizable CP-asymmetry in π + π − , together with substantial U -spin breaking, which has also been pointed out in [4]. Predictions in the U-spin limit (red dashed line) and 30% SM-like breaking (red cones) are indicated.…”
Section: Introductionmentioning
confidence: 65%
“…1. The small value of A CP (K + K − ), combined with ∆A CP (green), implies a sizable CP-asymmetry in π + π − , together with substantial U -spin breaking, which has also been pointed out in [4]. Predictions in the U-spin limit (red dashed line) and 30% SM-like breaking (red cones) are indicated.…”
Section: Introductionmentioning
confidence: 65%
“…C P asymmetry in the individual mode is more significant compared to the difference between two decay modes because it allows us to extract more knowledge of nonperturbative QCD. The newest data indicates a very large U -spin breaking in the D 0 → K + K − and D 0 → π + π − modes, which is beyond the naive expectations of ε ∼ m s / QCD ∼ 30% [23].…”
Section: Introductionmentioning
confidence: 73%
“…Compared to Ref. [23], the K * K * → ππ scattering is included in the final state interaction. Since the weak vertex of triangle diagram is a shortdistance T diagram, the factorization approach is used to estimate the weak decay amplitude.…”
Section: Estimation In the Final-state Interactionmentioning
confidence: 99%
“…CP asymmetry in the individual decay mode is more significant compared to the difference between two decay modes because it allows us to extract more knowledge of non-perturbative QCD. Recent theoretical work showed the newest data indicates a very large U -spin breaking in the D 0 → K + K − and D 0 → π + π − modes, which is beyond the naive expectations of ε ∼ m s /Λ QCD ∼ 30% [20].…”
Section: Introductionmentioning
confidence: 81%