Tensors for tending to tensions in $ τ$ decays

Abstract

We propose a manifestly gauge invariant effective tensor operator that can account for the $ CP $ asymmetry anomaly in $ τ$ 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 $ τ$ decays. By construction, the operator evades bounds from neutron electric dipole moment, while keeping the extraction of $ V_{us} $ from exclusive $ τ$ decays unaffected. We explicitly provide a renormalizable model of flavor symmetries that yields the desired effective tensor operator.