T005 $\mathcal{B}(t\to c g)$
Flavor-changing neutral-current top decay t $ \to $ c g Status SUBTLETY-ADDED VERIFIED High Code: NO Priority Low
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| ATLAS dataset for cg $ \to $ t single-top FCNC search | 139 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2022 | PDG2025:T005:ATLAS2022:dataset | source ↑ |
| $\sigma(c$ g $ \to $ t) * B(t $ \to $ b W) * B(W $ \to $ l $\nu$) | < 4.7 pb, 95% CL upper limit | 2022 | PDG2025:T005:ATLAS2022:cg_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:T005:ATLAS2022:w_leptonic_sum | source ↑ |
| $|C_{uG}^{ct}|$ / $\Lambda^2$ | < 0.14 TeV^-2, 95% CL upper limit | 2022 | PDG2025:T005:ATLAS2022:CuGct | source ↑ |
| B(t $ \to $ c g), ATLAS AAD 2022T EFT interpretation | < 3.7e-4 branching fraction, 95% CL upper limit | 2022 | PDG2025:T005:ATLAS2022:t_cg | 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:T005:dataset | source ↑ |
| $|\kappa_{tcg}|$ / $\Lambda$ | < 1.8e-2 TeV^-1, 95% CL upper limit | 2017 | CMS2017:T005:kappa_tcg | source ↑ |
| B(t $ \to $ c g), CMS t-channel single-top interpretation | < 4.1e-4 branching fraction, 95% CL upper limit | 2017 | CMS2017:T005:t_cg | source ↑ |
| Standard Model prediction for B(t $ \to $ c g), theory-context benchmark | 4.6e-12 branching fraction | 2004 | AguilarSaavedra2004:T005:SM | source ↑ |
| Generic ordinary-RS KK-gluon mass scale from flavor constraints, theory context | about 21 TeV TeV, theory-context mass scale | 2008 | CFW2008:T005:ordinary_RS_KK_gluon_context | source ↑ |
| Composite pseudo-Goldstone Higgs setup KK-gluon mass scale from flavor constraints, theory context | about 33 TeV TeV, theory-context mass scale | 2008 | CFW2008:T005:pNGB_Higgs_KK_gluon_context | source ↑ |
Why this constrains the RS scan
This channel probes color-carrying top-charm 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 \(t\to c g\) limit is therefore a direct up-sector
top-flavor diagnostic, complementary to \(D^0\) mixing and to electroweak
channels such as \(t\to cZ\) or \(t\to cH\).
What's changed since the original paper
The 2008 CFW reference point emphasized KK-gluon exchange and generic
anarchic-flavor bounds near \(21~\mathrm{TeV}\) for ordinary RS and
\(33~\mathrm{TeV}\) in the composite pseudo-Goldstone Higgs setup, but it did
not provide a direct \(t\to c g\) catalog limit
(
CsakiFalkowskiWeiler2008WarpedFlavor). Since then the important
change is experimental: LHC searches now constrain the top-gluon FCNC operator
directly. CMS used 7 and 8 TeV t-channel single-top data
(CMS2017TopFCNCTUG), while ATLAS later used the full Run-2
\(139~\mathrm{fb}^{-1}\) dataset at 13 TeV with a neural-network separation of
\(ug\to t\), \(cg\to t\), and backgrounds
(ATLAS2022TopFCNCTUG). The resulting limits remain many orders of
magnitude 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 in the sense that the SM rate is
negligible. Its use as an RS scan cut is model dependent: ATLAS quotes a
left-handed SMEFT \(C_{uG}^{ct}\) interpretation, while CMS uses an older
\(\kappa_{tcg}\) convention. The conversion from single-top production to
\({\cal B}(t\to c g)\) 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 \(t\to c g\), \(tcg\), \(tqg\), \(C_{uG}\), and
\(cg\to t\) 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:165.
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Required plan greps rerun on 2026-05-16; no source-code implementation of t -> c g, tcg, tqg, C_uG, or c 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:165 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 \(cg\to t\) 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, $t \to c$ g width and c $g \to t$ production normalization, collider/PDF reinterpretation machinery, and QCD-running choices for this operator.
Key references
PDG2025TopFCNCTUG; ATLAS2022TopFCNCTUG;
CMS2017TopFCNCTUG; AguilarSaavedra2004TopFCNC;
CsakiFalkowskiWeiler2008WarpedFlavor.