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Search for the Electric Dipole Moment and anomalous magnetic moment of the tau lepton at tau factories
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abstract
Precise measurement of the Electric Dipole Moment (EDM) and anomalous magnetic moment ($g$-2) of particles are important tests of Beyond Standard Model (BSM) physics. It is generally believed that the tau lepton couples more strongly to BSM due to its large mass, and can be searched for at collider experiments. A new method to approximately reconstruct the neutrinos from the hadronic decays of $\tau^-\tau^+$ pairs produced at $e^-e^+$ tau factories is proposed. With all final state particle momenta available, observables based on matrix elements and sensitive to BSM are calculated. It is estimated that with 50 ab$^{-1}$ of data to be delivered by the $Belle$-II experiment, a tau EDM search with a 1-$\sigma$ level precision of $|d_\tau^{NP}|<2.04\times 10^{-19}$ e$\cdot$cm, and $g$-2 search with $|a_\tau^{NP}|<1.75\times 10^{-5}$ ($1.5\%$ of the SM prediction), can be expected when systematics are not considered. The new precision can effectively constrain BSM models with heavy mirror neutrinos. It can also constrain models containing a light scalar with mass at $O$(1 GeV), which can explain the current muon $g$-2 anomaly as well. The method in this work offers a new opportunity to search for BSM at current and future tau factories with high precision.
Forward citations
Cited by 5 Pith papers
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Towards testing $(g-2)_\tau$ in $e^+e^-\to\tau^+\tau^-$: radiative corrections and projections for Belle II
A complete one-loop QED calculation for polarized e+e- to tau+tau- is implemented in the McMule Monte-Carlo code, showing that Belle II with a polarized beam could test the tau anomalous magnetic moment at the 10^-5 level.
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New physics and tau $g-2$ using LHC heavy ion collisions
Using ultraperipheral lead-lead collisions, a lepton-plus-tracks analysis could constrain the tau anomalous magnetic moment to -0.0080 < a_tau < 0.0046 at 68% CL, three times better than DELPHI.
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The trace distance between density matrices, a nifty tool in new-physics searches
Using the trace distance between Standard Model and new-physics density matrices gives the strongest quantum-information bounds on anomalous top and tau couplings, along with first measurements of magic in collider data.
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Probing the electromagnetic dipole moment of the $\tau$ lepton in the $e^+e^- \to \gamma^*/Z \to \tau^+ \tau^-$ reaction
Using optimal observables in e+e- to tau+tau-, the authors project tau electric and weak dipole moment sensitivities down to 10^-21 e cm at the Z pole and tau anomalous magnetic moment sensitivity near 10^-5 at Belle-II.
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CP violation studies at Super Tau-Charm Facility
A future Super Tau-Charm Facility is projected to test CP violation in hyperon, tau, and charm decays at 1e-4 to 1e-3 sensitivities and improve the kaon CPT mass-difference limit tenfold.
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