T016 $\mathcal{B}(Z\to e^\pm\tau^\mp)$
Lepton-flavor-violating Z decay Z $ \to $ e $\tau$ Status REVIEWED VERIFIED High Code: NO Priority Medium
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| B(Z $ \to $ e+- $\tau^-+$), charge-summed PDG listing | < 5.0e-6 branching fraction | 2025 | PDG2025:T016:zetau_limit | source ↑ |
| B(Z $ \to $ e $\tau$), ATLAS combined leptonic plus hadronic $\tau$ analyses | < 5.0e-6 branching fraction | 2021 | ATLAS2021:T016:zetau_combined_limit | source ↑ |
| B(Z $ \to $ e $\tau$), ATLAS leptonically decaying $\tau$ analysis only | < 7.0e-6 branching fraction | 2021 | ATLAS2021:T016:zetau_leptonic_limit | source ↑ |
| ATLAS Run-2 dataset for leptonically decaying $\tau$ Z LFV search | 139 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2021 | ATLAS2021:T016:dataset | source ↑ |
| B(Z $ \to $ e $\tau$), ATLAS hadronic $\tau$ analysis | < 8.1e-6 branching fraction | 2021 | ATLAS2020:T016:zetau_hadronic_limit | source ↑ |
| ATLAS hadronic $\tau$ Z LFV combined dataset | 139 fb^-1 at sqrt(s) = 13 TeV and 20.3 fb^-1 at sqrt(s) = 8 TeV integrated luminosity and collision energy | 2021 | ATLAS2020:T016:dataset | source ↑ |
| B(Z $ \to $ e $\tau$), CMS direct search | < 13.8e-6 branching fraction | 2025 | CMS2025:T016:zetau_limit | source ↑ |
| CMS dataset for Z $ \to $ e $\tau$ direct search | 138 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2025 | CMS2025:T016:dataset | source ↑ |
| Future Z-pole factory scale discussed for LFV Z searches | O(1e12) Z decays produced Z bosons | 2021 | CalibbiMarcanoRoy2021:T016:teraZ | source ↑ |
Why this constrains the RS scan
Warped or partially composite lepton sectors can generate non-universal
neutral-current couplings before rotating to charged-lepton mass eigenstates.
After that rotation, a non-diagonal \(Z e\tau\) vertex can appear from gauge
KK mixing, zero-mode coupling distortions, or lepton-sector flavor breaking.
This process is therefore a direct collider probe of electroweak lepton-flavor
violation in a lepton-sector extension, not a constraint implemented in the
current quark \(\Delta F=2\) scan.
What's changed since the original paper
The arXiv:0804.1954 warped-flavor baseline predates the LHC \(Z\)-LFV program.
Since then ATLAS superseded the old LEP-era \(Z\to e\tau\) sensitivity with
Run-2 searches using hadronically and leptonically decaying tau channels; the
combined ATLAS result is now the PDG-listed \(5.0\times10^{-6}\) bound
(
PDG2025:T016:zetau\_limit). CMS added a full-Run-2 search covering
\(Z\to e\mu\), \(Z\to e\tau\), and \(Z\to\mu\tau\); its \(e\tau\) result is
weaker than the ATLAS/PDG bound but is an independent experimental cross-check.
Phenomenology work on future
\(e^+e^-\) colliders has also sharpened the interpretation: a Tera-\(Z\)
program with \(\mathcal{O}(10^{12})\) \(Z\) decays is expected to be more
promising for \(Z\to\tau\ell\) than for \(Z\to\mu e\), because low-energy
\(\mu\)-flavor constraints are much more restrictive
(CalibbiMarcanoRoy2021:T016:teraZ).Validity and model dependence
Experimentally this is a clean direct upper limit on a forbidden Standard
Model decay, normalized to the inclusive \(Z\) branching fraction. As a model
constraint it is not universal: the same effective \(Z e\tau\) structures may
also induce tau LFV decays, dipoles, or four-lepton operators depending on the
UV completion. In the catalog it should be classified as a direct collider
constraint on an off-diagonal \(Z e\tau\) coupling, with correlations to
low-energy tau observables left for a future lepton-sector likelihood.
Code coverage in this repo
Coverage is NO. The required broad greps and a targeted search for
$Z \to e \tau$, $Z \to \tau$ e, Zetau, and related
LFV-\(Z\) strings across quarkConstraints/, qcd/,
flavorConstraints/, neutrinos/, yukawa/,
warpConfig/, solvers/, scanParams/, and
tests/ found no \(Z\to e\tau\) observable implementation. The only
charged-lepton LFV backend seen is \(\mu\to e\gamma\)
(flavorConstraints/muToEGamma.py:75), called by the scan at
scanParams/scan.py:524; the modern phenomenology policy surface is
limited to \(\epsilon_K\), \(K\), \(B_d\), \(B_s\), and \(D^0\)
(quarkConstraints/modern/phenomenology.py:23).
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Targeted grep for Z -> e tau / Z -> tau e / Zetau / ZeTau / LFV Z strings across required code directories returned no hits.
- The only charged-lepton LFV implementation found is mu -> e gamma: flavorConstraints/muToEGamma.py:75.
- The scan calls the mu -> e gamma LFV filter at scanParams/scan.py:524.
- The modern phenomenology policy surface is limited to epsilon_K, K, B_d, B_s, and D0: quarkConstraints/modern/phenomenology.py:23.
Implementation difficulty
Production integration is HIGH. Storing the external branching-ratio
limit is simple, but a live RS constraint needs a new electroweak LFV operator
convention, matching from lepton localization and \(Z\)-coupling distortions to
left- and right-handed \(Z e\tau\) amplitudes, and a policy for combining the
direct \(Z\)-pole bound with low-energy tau LFV limits.
Reason: MEDIUM to store the branching-ratio upper limit, but HIGH for production-grade RS integration because the repo lacks LFV Z-coupling operators, electroweak/lepton-sector matching, and a policy for combining direct Z-pole and low-energy tau LFV constraints.
Key references
PDG2025ZLFVListing; ATLAS2021ZLFVTau;
ATLAS2020ZLFVTauHad; CMS2025ZLFV;
CalibbiMarcanoRoy2021ZLFV;
CsakiFalkowskiWeiler2008WarpedFlavor;
PerezRandall2008WarpedLeptonFlavor.