T003 $\mathcal{B}(t\to c\gamma)$
Flavor-changing neutral-current top decay t $ \to $ c $\gamma$ Status REVIEWED VERIFIED High Code: NO Priority Low
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| CMS dataset for tqgamma FCNC search | 138 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2024 | CMS2024:T003:dataset | source ↑ |
| B(t $ \to $ c $\gamma$), CMS single-nonzero-coupling interpretation | < 1.51e-5 branching fraction, 95% CL upper limit | 2024 | CMS2024:T003:tcgamma | source ↑ |
| B(t $ \to $ u $\gamma$), CMS single-nonzero-coupling interpretation | < 0.95e-5 branching fraction, 95% CL upper limit | 2024 | CMS2024:T003:tugamma | source ↑ |
| ATLAS dataset for tqgamma FCNC search | 139 fb^-1 at sqrt(s) = 13 TeV integrated luminosity and collision energy | 2023 | ATLAS2023:T003:dataset | source ↑ |
| B(t $ \to $ c $\gamma$), left-handed tqgamma benchmark | < 4.2e-5 branching fraction, 95% CL upper limit | 2023 | ATLAS2023:T003:tcgamma_left | source ↑ |
| B(t $ \to $ c $\gamma$), right-handed tqgamma benchmark | < 4.5e-5 branching fraction, 95% CL upper limit | 2023 | ATLAS2023:T003:tcgamma_right | source ↑ |
| $\Gamma(t \to \gamma$ q) / $\Gamma(t \to $ W b), q = u,c generic PDG row | < 9.5e-6 ratio, 95% CL upper limit | 2026 | PDG2026:T003:gammaq_summary | source ↑ |
Why this constrains the RS scan
In anarchic warped flavor, the IR-localized top and non-universal fermion
profiles can generate mass-basis flavor violation in the up sector. The
top-photon channel probes an electromagnetic dipole or heavy-vector matching
direction that is absent from the existing neutral-meson \(\Delta F=2\) lane.
It is therefore complementary to T001 (\(t\to cZ\)) and T005 (\(t\to cg\)):
the same top-charm rotations can appear with different gauge quantum numbers.
What's changed since the original paper
Relative to the arXiv:0804.1954 RS-flavor baseline
(
CsakiFalkowskiWeiler2008WarpedFlavor), the main change is
experimental. The LHC program moved this channel from indirect expectations to
direct full-Run-2 searches with separate \(tu\gamma\) and \(tc\gamma\)
hypotheses. ATLAS reached the \(4.2\times10^{-5}\) left-handed charm benchmark
in its 2023 result (ATLAS2023:T003:tcgamma\_left). CMS then used
\(138~\mathrm{fb}^{-1}\) and improved the charm-specific observed limit to
\(1.51\times10^{-5}\) (CMS2024:T003:dataset;
CMS2024:T003:tcgamma). The Standard Model expectation is below
current limits by many orders of magnitude, so present bounds are new-physics
searches rather than SM precision tests.Validity and model dependence
The upper limit is experimentally clean because the SM decay rate is
negligible. Its interpretation is model dependent: CMS quotes a single
nonzero anomalous coupling at a time, while ATLAS separates left- and
right-handed \(tq\gamma\) benchmarks. A warped-model scan would need to map
its top-sector rotations and electromagnetic dipoles into the same operator
normalization before using the number as a hard exclusion.
Code coverage in this repo
NO. The required greps across
quarkConstraints/,
qcd/, flavorConstraints/, neutrinos/,
yukawa/, warpConfig/, solvers/,
scanParams/, and tests/ found no \(t\to c\gamma\),
\(tc\gamma\), \(tq\gamma\), or top-photon FCNC implementation. Existing
coverage is limited to neutral-meson \(\Delta F=2\) inputs at
quarkConstraints/deltaf2.py:209, the modern policy list
\(\epsilon_K,K,B_d,B_s,D^0\) at
quarkConstraints/modern/phenomenology.py:23, and a lepton-sector
\(\mu\to e\gamma\) dipole check at flavorConstraints/muToEGamma.py:75.
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Required plan greps rerun on 2026-05-16 across quarkConstraints, qcd, flavorConstraints, neutrinos, yukawa, warpConfig, solvers, scanParams, and tests; no source-code implementation of t -> c gamma, tcgamma, or tqgamma found.
- Targeted grep for top-photon FCNC and photon dipole terms found only the lepton-sector mu -> e gamma dipole implementation at flavorConstraints/muToEGamma.py:75 and related prose, not a top observable.
- Existing Delta F = 2 coverage starts at quarkConstraints/deltaf2.py:209.
- Modern phenomenology policy enumerates only epsilon_K, K, B_d, B_s, and D0 at quarkConstraints/modern/phenomenology.py:23 and states it is policy-only at quarkConstraints/modern/phenomenology.py:165.
Implementation difficulty
HIGH. Cataloging the external upper limit is straightforward, but a
live RS constraint would require a top electromagnetic FCNC operator
convention, RS-to-SMEFT or direct dipole matching, a \(t\to c\gamma\) width
normalization, and a choice about how to reinterpret production-plus-decay LHC
limits when more than one chirality or flavor coupling is present.
Reason: MEDIUM to store the external upper limit, but HIGH for production-grade RS integration because the repo lacks a top electromagnetic FCNC operator basis, RS-to-dipole matching, a $t \to c \gamma$ width convention, and a validated production-plus-decay recast.
Key references
CMS2024TopFCNCTQGamma; ATLAS2023TopFCNCTQGamma;
PDG2026TopGammaQSummary; AguilarSaavedra2004TopFCNC;
CsakiFalkowskiWeiler2008WarpedFlavor.