T019 $\mathcal{B}(h\to e\tau)$
Lepton-flavor-violating Higgs decay h $ \to $ e $\tau$ Status REVIEWED VERIFIED High Code: NO Priority Medium
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| B(h $ \to $ e $\tau$), ATLAS full Run-2 direct search | < 0.20% branching fraction | 2025 | PDG2025:T019:atlas_run2 | source ↑ |
| B(h $ \to $ e $\tau$), CMS full Run-2 direct search | < 0.22% branching fraction | 2025 | PDG2025:T019:cms_run2 | source ↑ |
| B(H $ \to $ e $\tau$), ATLAS full Run-2 direct search | < 0.20% branching fraction | 2023 | ATLAS2023:T019:etau_limit | source ↑ |
| ATLAS dataset for h $ \to $ e $\tau$ direct search | 138 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2023 | ATLAS2023:T019:dataset | source ↑ |
| B(H $ \to $ e $\tau$), CMS full Run-2 direct search | < 0.22% branching fraction | 2021 | CMS2021:T019:etau_limit | source ↑ |
| CMS dataset for h $ \to $ e $\tau$ direct search | 137 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2021 | CMS2021:T019:dataset | source ↑ |
| B(H $ \to $ e $\tau$), ATLAS partial Run-2 direct search | < 0.47% branching fraction | 2019 | ATLAS2019:T019:etau_limit | source ↑ |
| ATLAS partial Run-2 dataset for h $ \to $ e $\tau$ direct search | 36.1 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2019 | ATLAS2019:T019:dataset | source ↑ |
| Generic LFV-Higgs EFT allowance for h $ \to \tau$ e, theory context | order 10% branching fraction, theory-context allowance | 2012 | HarnikKoppZupan2012:T019:LFV_Higgs_EFT_allowance | source ↑ |
Why this constrains the RS scan
In warped or partially composite lepton sectors, flavor-dependent localization
can explain charged-lepton masses while leaving the physical Higgs Yukawa
matrix misaligned with the mass matrix. The \(h\to e\tau\) limit directly
tests the \(e\)-\(\tau\) off-diagonal charged-lepton Yukawa entries. It is
complementary to dipole constraints such as \(\mu\to e\gamma\), but it is
not part of the current quark \(\Delta F=2\) scan lane.
What's changed since the original paper
The baseline arXiv:0804.1954 predates direct LHC Higgs LFV searches
(
CsakiFalkowskiWeiler2008WarpedFlavor). Harnik, Kopp, and Zupan
later emphasized that \(h\to\tau e\) could be a discovery channel and that
branching fractions of order \(10\%\) were still possible in generic
LFV-Higgs EFT settings after low-energy constraints
(HarnikKoppZupan2012FlavorViolatingHiggs). ATLAS performed an early
\(13~\mathrm{TeV}\) search with \(36.1~\mathrm{fb}^{-1}\), setting
\(\mathcal{B}(H\to e\tau)<0.47\%\)
(ATLAS2019HiggsLFVETau). The full Run-2 CMS and ATLAS analyses then
pushed the direct e-tau limit to the few-\(10^{-3}\) level, with no significant
excess (CMS2021HiggsLFVETau; ATLAS2023HiggsLFVETau).Validity and model dependence
Experimentally this is a direct upper limit on a Standard-Model-forbidden
decay. A literal branching-ratio cut assumes the Higgs production mixture
and total width used by the collaborations. A model with altered Higgs
production rates, new invisible width, or correlated LFV tau decays would need
a recast. For the catalog, the limit is robust as an experimental observable
but model-dependent as an RS acceptance criterion.
Code coverage in this repo
Coverage is NO. The required greps and a targeted search for
$h \to e \tau$, $H \to e \tau$, etau, Y\_e\_tau, and
Y\_tau\_e across quarkConstraints/, qcd/,
flavorConstraints/, neutrinos/, yukawa/,
warpConfig/, solvers/, scanParams/, and
tests/ found no observable implementation. The related LFV backend
is specifically \(\mu\to e\gamma\)
(flavorConstraints/muToEGamma.py:1;
flavorConstraints/muToEGamma.py:75), and the scan applies that
filter at scanParams/scan.py:523--scanParams/scan.py:524.
The charged-lepton Yukawa helper is diagonal
(yukawa/charged\_lepton.py:1; yukawa/charged\_lepton.py:36).
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Targeted grep for h -> e tau / H -> e tau / etau / Y_e_tau / Y_tau_e across the required code directories returned no hits.
- The existing charged-lepton LFV implementation is mu -> e gamma only: flavorConstraints/muToEGamma.py:1 and flavorConstraints/muToEGamma.py:75.
- The scan applies the mu -> e gamma LFV filter at scanParams/scan.py:523 and scanParams/scan.py:524; no h -> e tau branch or Higgs LFV limit is present.
- Charged-lepton Yukawa support is a diagonal mass-relation helper at yukawa/charged_lepton.py:1 and yukawa/charged_lepton.py:36, not a Higgs LFV observable.
Implementation difficulty
Production integration is HIGH. The external limit is simple to
catalog, but a faithful RS constraint needs a new charged-lepton Higgs-Yukawa
misalignment calculation, a convention for \(Y_{e\tau}\) and \(Y_{\tau e}\),
and a Higgs-rate/width interpretation before scan points can be accepted or
rejected.
Reason: The direct experimental limit is simple to catalog, but production-grade RS integration needs a new charged-lepton Higgs-Yukawa misalignment calculation, a convention for Y_e_tau/Y_tau_e and their relation to the branching ratio, and a Higgs production/total-width interpretation. The current code only has diagonal charged-lepton Yukawas and a $\mu \to e \gamma$ dipole filter.
Key references
PDG2025HiggsLFVReview; ATLAS2023HiggsLFVETau;
CMS2021HiggsLFVETau; ATLAS2019HiggsLFVETau;
HarnikKoppZupan2012FlavorViolatingHiggs;
CsakiFalkowskiWeiler2008WarpedFlavor;
PerezRandall2008WarpedLeptonFlavor.