T020 $\mathcal{B}(h\to e\mu)$
Lepton-flavor-violating Higgs decay h $ \to $ e $\mu$ Status FACT-CHECK-FIXED VERIFIED High Code: NO Priority Low
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| Higgs boson mass hypothesis for h $ \to $ e $\mu$ direct searches | 125 GeV | 2025 | PDG2025:T020:higgs_mass_hypothesis | source ↑ |
| B(h $ \to $ e $\mu$), CMS full Run-2 direct search | < 4.4 x 10^-5 branching fraction | 2025 | PDG2025:T020:cms_run2 | source ↑ |
| B(h $ \to $ e $\mu$), ATLAS full Run-2 direct search | < 6.2 x 10^-5 branching fraction | 2025 | PDG2025:T020:atlas_run2 | source ↑ |
| B(H $ \to $ e $\mu$), CMS full Run-2 direct search | < 4.4 x 10^-5 branching fraction | 2023 | CMS2023:T020:emu_limit | source ↑ |
| CMS dataset for h $ \to $ e $\mu$ direct search | 138 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2023 | CMS2023:T020:dataset | source ↑ |
| CMS X $ \to $ e $\mu$ mass scan range and largest excess | 110-160 GeV scan; largest excess near 146 GeV mass range and excess significance | 2023 | CMS2023:T020:mass_scan | source ↑ |
| B(H $ \to $ e $\mu$), ATLAS full Run-2 direct search | < 6.2 x 10^-5 branching fraction | 2020 | ATLAS2020:T020:emu_limit | source ↑ |
| ATLAS dataset for h $ \to $ e $\mu$ direct search | 139 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2020 | ATLAS2020:T020:dataset | source ↑ |
Why this constrains the RS scan
Warped or partially composite lepton sectors can generate off-diagonal
physical Higgs Yukawa couplings after the charged-lepton mass matrix is
diagonalized. The \(h\to e\mu\) search directly probes the \(e\)-\(\mu\)
entries of that Higgs Yukawa matrix and is therefore complementary to the
repo's existing \(\mu\to e\gamma\) dipole filter. It is not a constraint on
the current quark \(\Delta F=2\) scan by itself; it belongs to a future
lepton-sector extension.
What's changed since the original paper
The requested arXiv:0804.1954 baseline predates the LHC Higgs LFV program
(
CsakiFalkowskiWeiler2008WarpedFlavor). Harnik, Kopp, and Zupan
then framed flavor-violating Higgs decays as direct discovery channels and
showed that LFV Higgs branching fractions can be sizable in generic EFT
settings (HarnikKoppZupan2012FlavorViolatingHiggs). ATLAS produced a
full Run-2 \(h\to e\mu\) limit with
\(139~\mathrm{fb}^{-1}\) (ATLAS2020HiggsEMu). CMS later used
\(138~\mathrm{fb}^{-1}\), improved the direct Higgs limit to
\(4.4\times10^{-5}\), and extended the same \(e\mu\) mass scan to
\(110\)--\(160~\mathrm{GeV}\). The largest excess was near
\(146~\mathrm{GeV}\), with local/global significance \(3.8/2.8\sigma\);
CMS did not interpret it as evidence (CMS2023HiggsLFVEMu;
CMS2023:T020:mass\_scan).Validity and model dependence
Experimentally this is a clean direct upper limit on a Standard-Model-forbidden
Higgs decay. A literal branching-ratio cut assumes the SM-like Higgs
production mixture and total width used by ATLAS and CMS. Models with altered
Higgs production, exotic Higgs width, or correlated low-energy LFV signals need
a recast. PDG notes that indirect \(\mu\to e\gamma\)-based constraints are
stronger for this channel, so this entry should be used as the direct collider
observable rather than the global \(e\)-\(\mu\) LFV bound.
Code coverage in this repo
Coverage is NO. The required greps and a targeted search for
$h \to e \mu$, $H \to e \mu$, Y\_e\_mu, and Y\_mu\_e
across quarkConstraints/, qcd/, flavorConstraints/,
neutrinos/, yukawa/, warpConfig/, solvers/,
scanParams/, and tests/ found no observable implementation.
The existing lepton 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).
See T020.yaml:code\_coverage.
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Targeted grep for h -> e mu / H -> e mu / Y_e_mu / Y_mu_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 mu 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 direct limit is easy to catalog,
but a scan constraint needs a new charged-lepton Higgs-Yukawa misalignment
calculation, a convention for \(Y_{e\mu}\) and \(Y_{\mu e}\), and a Higgs-rate
or total-width interpretation before accepting or rejecting points
(
T020.yaml:implementation\_difficulty\_rationale).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_mu/Y_mu_e and their relation to B($h \to e \mu$), 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; CMS2023HiggsLFVEMu;
ATLAS2020HiggsEMu; HarnikKoppZupan2012FlavorViolatingHiggs;
CsakiFalkowskiWeiler2008WarpedFlavor;
PerezRandall2008WarpedLeptonFlavor.