B012 $B\to K^*(892)\gamma$
Exclusive radiative B $ \to K* \gamma$ Status REVIEWED VERIFIED High Code: NO Priority Medium
PDG / equivalent values
| Observable | Value | Year | Experiment / source | Provenance |
|---|---|---|---|---|
| B(B0 $ \to $ K*(892)0 $\gamma$) | 0.00004163 branching fraction | 2024 | HFLAV rare decays, end-of-year 2024 | source ↑ |
| B(B+ $ \to $ K*(892)+ $\gamma$) | 0.0000395 branching fraction | 2024 | HFLAV rare decays, end-of-year 2024 | source ↑ |
| $\Delta_0+(B \to K* \gamma$) | 0.059 dimensionless | 2024 | HFLAV rare decays, end-of-year 2024 | source ↑ |
| $A_{CP}(B \to K* \gamma$) | -0.004 dimensionless | 2024 | HFLAV rare decays, end-of-year 2024 | source ↑ |
| $S_{K*(892)0 \gamma}(B0 \to $ K*(892)0 $\gamma$) | -0.08 dimensionless | 2025 | PDG pdgLive 2025 | source ↑ |
| $C_{K*(892)0 \gamma}(B0 \to $ K*(892)0 $\gamma$) | 0.03 dimensionless | 2025 | PDG pdgLive 2025 | source ↑ |
Why this constrains the RS scan
This is the exclusive radiative complement to the inclusive \(B\to X_s\gamma\)
entry. The inclusive rate mostly constrains the size of the electromagnetic
dipole combination, while \(S_{K^*\gamma}\) is a chirality test: a large
right-handed dipole coefficient \(C_7'\) can enhance the mixing-induced
asymmetry even when the total rate remains near the SM value. Anarchic RS
models can generate chirality-flipped dipoles through KK-fermion, KK-gauge,
or Higgs-sector loops, so this process directly probes a direction not covered
by the present \(\Delta F=2\) scan.
What's changed since the original paper
Since the arXiv:0804.1954 flavor-baseline era
(
cfw\_2008\_rs\_flavor), BaBar produced a high-statistics
branching-fraction, direct-CP, and isospin-asymmetry measurement in 2009
(babar\_2009\_btokstargamma); Belle reported evidence for isospin
violation in 2017 (belle\_2017\_isospin\_cp); LHCb observed photon
polarization in \(b\to s\gamma\) using
\(B^\pm\to K^\pm\pi^\mp\pi^\pm\gamma\)
(lhcb\_2014\_photon\_polarization); and Belle II added
\(B\to K^*\gamma\) measurements now entering HFLAV
(belleii\_2024\_btokstargamma). PDG 2025 also includes a new
Belle/Belle II input in the \(S_{K^*\gamma}\) average
(pdglive\_2025\_kstargamma\_cp).Validity and model dependence
The branching fractions are measured cleanly but are less theory-clean than the
inclusive rate because exclusive form factors and spectator effects enter the
SM comparison. The time-dependent asymmetry is a sharper null-test of photon
helicity, but its present uncertainty is still statistics-limited. Translating
the entry into an RS bound requires a convention-matched \(C_7,C_7'\) and
\(C_8,C_8'\) pipeline plus exclusive-amplitude inputs; the measured averages
alone should not be treated as a standalone likelihood.
Code coverage in this repo
NO. The required greps over
quarkConstraints/, qcd/,
flavorConstraints/, neutrinos/, yukawa/,
warpConfig/, solvers/, scanParams/, and
tests/ found no \(B\to K^*\gamma\), \(C_7'\), photon-polarization, or
right-handed \(b\to s\gamma\) implementation. The modern quark surface is
limited to neutral-meson mixing systems at
quarkConstraints/modern/phenomenology.py:23; the only dipole code
found is the unrelated lepton-sector \(\mu\to e\gamma\) check at
flavorConstraints/muToEGamma.py:75.
Linked evidence (opens GitHub blob at flavor-catalog-website/2026q2):
- Focused implementation grep for B -> K* gamma, C7/C7', O7/O7', photon polarization, and right-handed dipole returned exit=1.
- quarkConstraints/modern/phenomenology.py:23 enumerates only epsilon_K, K, B_d, B_s, and D0 in the modern quark policy surface.
- flavorConstraints/muToEGamma.py:75 is a lepton-sector mu->e gamma dipole check, not a b->s gamma implementation.
Implementation difficulty
HIGH. Production use needs new dipole matching, RG evolution for
\(C_7,C_7'\) and \(C_8,C_8'\), exclusive \(B\to K^*\) form-factor handling,
and a time-dependent CP/helicity observable. None of that is supplied by the
current \(\Delta F=2\) operator basis.
Reason: Requires new $b \to s \gamma$ dipole matching and RG for C7/C7' and C8/C8', exclusive $B \to K*$ form-factor treatment, and a time-dependent CP/helicity observable likelihood absent from the $\Delta F = 2$ code.
Key references
Process-local keys before bibliography consolidation:
hflav\_rare\_decays\_dec2024\_btokstargamma,
pdglive\_2025\_kstargamma\_cp,
belleii\_2024\_btokstargamma,
belle\_2017\_isospin\_cp,
babar\_2009\_btokstargamma,
lhcb\_2014\_photon\_polarization, and
cfw\_2008\_rs\_flavor.