T006 $\mathcal{B}(t\to u g)$
Flavor-changing neutral-current top decay t $ \to $ u g Status SUBTLETY-ADDED VERIFIED High Code: NO Priority Low
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| ATLAS dataset for u g $ \to $ t single-top FCNC search | 139 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2022 | PDG2025:T006:ATLAS2022:dataset | source ↑ |
| $\sigma(u$ g $ \to $ t) * B(t $ \to $ b W) * B(W $ \to $ l $\nu$) | < 3.0 pb, 95% CL upper limit | 2022 | PDG2025:T006:ATLAS2022:ug_to_t_cross_section | source ↑ |
| B(W $ \to $ l $\nu$) sum over e, $\mu$, $\tau$ modes used by ATLAS | 0.325 branching fraction | 2022 | PDG2025:T006:ATLAS2022:w_leptonic_sum | source ↑ |
| $|C_{uG}^{ut}|$ / $\Lambda^2$ | < 0.057 TeV^-2, 95% CL upper limit | 2022 | PDG2025:T006:ATLAS2022:CuGut | source ↑ |
| B(t $ \to $ u g), ATLAS AAD 2022T EFT interpretation | < 6.1e-5 branching fraction, 95% CL upper limit | 2022 | PDG2025:T006:ATLAS2022:t_ug | source ↑ |
| CMS dataset for t-channel single top FCNC search | 5.0 fb^-1 at sqrt(s) = 7 TeV and 19.7 fb^-1 at sqrt(s) = 8 TeV integrated luminosity and collision energy | 2017 | CMS2017:T006:dataset | source ↑ |
| $|\kappa_{tug}|$ / $\Lambda$ | < 4.1e-3 TeV^-1, 95% CL upper limit | 2017 | CMS2017:T006:kappa_tug | source ↑ |
| B(t $ \to $ u g), CMS t-channel single-top interpretation | < 2.0e-5 branching fraction, 95% CL upper limit | 2017 | CMS2017:T006:t_ug | source ↑ |
| Standard Model estimate for B(t $ \to $ u g) inferred from source scaling | approximately 3.6e-14 branching fraction | 2004 | AguilarSaavedra2004:T006:t_ug_SM | source ↑ |
Why this constrains the RS scan
This channel probes color-carrying first--third generation up-sector flavor
violation rather than the neutral-meson \(\Delta F=2\) four-quark operators
already audited in the quark scan. In anarchic warped flavor, the heavy color
sector and the IR-localized top can generate non-universal mass-basis couplings
and loop-level chromomagnetic dipoles. A \(t\to u g\) limit is therefore a
direct top-flavor diagnostic, complementary to \(D^0\) mixing and to
electroweak channels such as \(t\to uZ\) or \(t\to uH\).
What's changed since the original paper
The paper-era CFW reference point, arXiv:0804.1954, predates the LHC
single-top FCNC program and is used here only as RS-flavor context. Since
then, CMS and ATLAS have interpreted single-top data in top-gluon FCNC
operators, with the ATLAS Run-2 dataset supplying the current PDG/pdgLive
entry. The resulting bounds remain far above the SM prediction, so they are
new-physics limits rather than SM precision tests.
Validity and model dependence
The experimental upper bound is clean because the SM signal is negligible at
collider sensitivity. Its use as an RS scan cut is model dependent: ATLAS
quotes a left-handed SMEFT \(C_{uG}^{ut}\) interpretation, while CMS uses an
older \(\kappa_{tug}\) convention. The conversion from single-top production
to \({\cal B}(t\to u g)\) assumes one FCNC operator at a time, standard top
decays, and a specific normalization of the chromomagnetic interaction. A
model producing both chiralities, contact terms, or correlated heavy-gluon
resonance effects needs a dedicated reinterpretation.
In down-aligned or kaon-protected RS variants, top FCNCs become leading rather
than secondary diagnostics.
Code coverage in this repo
NO. The required plan greps were rerun on 2026-05-16, followed by a
targeted search for \(t\to u g\), \(tug\), \(utg\), \(tqg\), \(C_{uG}\), and
\(ug\to t\) across
quarkConstraints/, qcd/,
flavorConstraints/, neutrinos/, yukawa/,
warpConfig/, solvers/, scanParams/, and
tests/. The only implementation-directory hits were generic FCNC
prose/comments at quarkConstraints/PAPER\_0710\_1869.md:35 and
tests/test\_paper\_couplings.py:258. The modern phenomenology surface
enumerates only \(\epsilon_K\), \(K\), \(B_d\), \(B_s\), and \(D^0\) at
quarkConstraints/modern/phenomenology.py:23, and states that it is
policy-only at quarkConstraints/modern/phenomenology.py:167.
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Required plan greps rerun on 2026-05-16; no source-code implementation of t -> u g, tug, tqg, C_uG, or u g -> t found.
- Targeted implementation grep found only generic FCNC prose/comment hits at quarkConstraints/PAPER_0710_1869.md:35 and tests/test_paper_couplings.py:258, not an observable implementation.
- quarkConstraints/modern/phenomenology.py:23 enumerates only epsilon_K, K, B_d, B_s, and D0 in the modern quark policy surface.
- quarkConstraints/modern/phenomenology.py:167 says the modern surface is policy-only and does not define a numeric EFT backend.
Implementation difficulty
HIGH. Cataloging the external limit is straightforward, but live
integration would need a top chromomagnetic FCNC operator convention,
RS-to-SMEFT matching, decay-width and \(ug\to t\) production normalization,
PDF/collider acceptance assumptions or a validated recast, and QCD-running
choices not present in the existing \(\Delta F=2\) code.
Reason: Limit cataloging is MEDIUM, but production-grade integration is HIGH because the repo lacks a top chromomagnetic FCNC operator convention, RS-to-SMEFT matching, $t \to u$ g width and u $g \to t$ production normalization, collider/PDF reinterpretation machinery, and QCD-running choices for this operator.
Key references
PDG2025TopFCNCTUG; ATLAS2022TopFCNCTUG;
CMS2017TopFCNCTUG; AguilarSaavedra2004TopFCNC;
CsakiFalkowskiWeiler2008WarpedFlavor.