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Interference Resurrection of the $\tau$ Dipole through Quantum Tomography
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abstract
Helicity selection rules can suppress the leading contributions from dimension-6 operators in the Standard Model Effective Field Theory (SMEFT), reducing sensitivity to potential new physics. This paper explores how the interference contributions from the $\tau$ lepton's anomalous dipole moment are restored in different observable, in particular comparing the sensitivity to SMEFT operators of quantum information observables and more traditional spin correlations. We compute the sensitivity of various observables-including entanglement measures, Bell inequality violations, and quantum uncertainties-to new physics effects using Monte Carlo simulations. Spin correlation observables are found to outperform both the integrated cross-section and quantum information observables in sensitivity to both $CP$-conserving and -violating effects, improving the sensitivity to the scale of new physics by up to a factor of 3. Our results suggest that quantum information observables are suboptimal probes for resurrecting the interference, and more in general to disentangle the $CP$ properties of new physics
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