A $U$-Spin Anomaly in Charm CP Violation

TL;DR

Recent LHCb data reveals a significant $U$-spin breaking anomaly in charm CP violation, challenging Standard Model expectations and suggesting potential new physics contributions.

Contribution

This paper first determines the imaginary part of the CKM-subleading, $U$-spin breaking amplitude using new data, highlighting a large deviation from SM predictions.

Findings

The $U$-spin breaking contribution exceeds SM expectations by nearly three times.

The anomaly has a significance of 1.95 sigma, indicating a potential breakdown of $U$-spin symmetry.

Possible new physics models include extended scalar sectors or flavorful $Z'$ models.

Abstract

Recent LHCb data shows that the direct CP asymmetries of the decay modes $D^0\rightarrow \pi^+\pi^-$ and $D^0\rightarrow K^+K^-$ have the same sign, violating an improved $U$-spin limit sum rule in an unexpected way at $2.1\sigma$. From the new data, we determine for the first time the imaginary part of the CKM-subleading, $U$-spin breaking $\Delta U=1$ correction to the $U$-spin limit $\Delta U=0$ amplitude. The imaginary part of the $\Delta U=0$ amplitude is determined by $\Delta a_{CP}^{\mathrm{dir}}$. The corresponding strong phases are yet unknown and could be extracted in the future from time-dependent measurements. Assuming $\mathcal{O}(1)$ 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 $(173^{+85}_{-74})\%$. This highly exceeds the Standard Model (SM) expectation of $\sim 30\%$ $U$-spin breaking, with a significance of $1.95\sigma$. 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 $\Delta U=1$ operator, leaving the $U$-spin power expansion intact. Examples for the latter option are an extended scalar sector or flavorful $Z'$ models.