Tensors for tending to tensions in $\ddot{I}„$ decays

Abstract

We propose a manifestly gauge invariant effective tensor operator that can account for the $CP$ asymmetry anomaly in $\ddot{I}„$ decays, contrary to the claim made in literature. Additionally, this operator can also help in resolving the long-standing discrepancy in the value of $V_{us}$ extracted from inclusive $\ddot{I}„$ decays. By construction, the operator evades bounds from neutron electric dipole moment, while keeping the extraction of $V_{us}$ from exclusive $\ddot{I}„$ decays unaffected. We explicitly provide a renormalizable model of flavor symmetries that yields the desired effective tensor operator.