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The photon polarization in B -> X gamma in the standard model
High Energy Physics - Phenomenology · Submitted 2 Dec 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that this suppression is fictitious: in inclusive decays, the ratio of these two amplitudes is only suppressed by $g_s/(4\pi)$, and in exclusive decays by $\Lambda_{QCD}/m_b$.
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The abstract, sentence by sentence
The standard model prediction for the $B\to X_{s,d}\gamma$ decay amplitude with a right-handed photon is believed to be tiny, suppressed by $m_{s,d}/m_b$, compared to the amplitude with a left-handed photon. We show that this suppression is fictitious: in inclusive decays, the ratio of these two amplitudes is only suppressed by $g_s/(4\pi)$, and in exclusive decays by $\Lambda_{QCD}/m_b$. The suppression is not stronger in $B\to X_d\gamma$ decays than it is in $B\to X_s\gamma$. We estimate that the time dependent CP asymmetries in $B\to K^*\gamma$, $\rho\gamma$, $K_S\pi^0\gamma$, and $\pi^+\pi^-\gamma$ are of order 0.1 and that they have significant uncertainties.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The standard model prediction for the $B\to X_{s,d}\gamma$ decay amplitude with a right-handed photon is believed to be tiny, suppressed by $m_{s,d}/m_b$, compared to the amplitude with a left-handed photon. | background 1.00 | 0.04 | 0.04 | hedged possibility 0.60 |
| s1 | We show that this suppression is fictitious: in inclusive decays, the ratio of these two amplitudes is only suppressed by $g_s/(4\pi)$, and in exclusive decays by $\Lambda_{QCD}/m_b$. | result 0.97 | 0.94 | 0.88 | asserted 1.00 |
| s2 | The suppression is not stronger in $B\to X_d\gamma$ decays than it is in $B\to X_s\gamma$. | result 0.98 | 0.70 | 0.08 | asserted 1.00 |
| s3 | We estimate that the time dependent CP asymmetries in $B\to K^*\gamma$, $\rho\gamma$, $K_S\pi^0\gamma$, and $\pi^+\pi^-\gamma$ are of order 0.1 and that they have significant uncertainties. | result 0.99 | 0.89 | 0.05 | asserted 0.50 |
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The paper
Original abstract
The standard model prediction for the $B\to X_{s,d}\gamma$ decay amplitude with a right-handed photon is believed to be tiny, suppressed by $m_{s,d}/m_b$, compared to the amplitude with a left-handed photon. We show that this suppression is fictitious: in inclusive decays, the ratio of these two amplitudes is only suppressed by $g_s/(4\pi)$, and in exclusive decays by $\Lambda_{QCD}/m_b$. The suppression is not stronger in $B\to X_d\gamma$ decays than it is in $B\to X_s\gamma$. We estimate that the time dependent CP asymmetries in $B\to K^*\gamma$, $\rho\gamma$, $K_S\pi^0\gamma$, and $\pi^+\pi^-\gamma$ are of order 0.1 and that they have significant uncertainties.
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References
How the literature uses it
21 arXiv papers cite this in 28 sentences
Papers citing it · 22 sentences without a confident label
Uses its data or values 1 paper
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They were estimated as sufficiently large - about 10% - in the papers [ref] , [ref] .
On the photon polarization in radiative B -> phi K gamma decay · Photon polarization in the Standard Model and beyond · 0.87
Cites it as support 3 papers
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As pointed out in Ref. [ref] , any other right-handed polarized contributions to the decay amplitude should be suppressed by $1/m_b$.
Nonperturbative Charming Penguin Contributions to Isospin Asymmetries in Radiative B decays · Introduction · 0.96
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While simple power counting leads to a relatively large possible range for this quantity [ref] , based on more refined parametric arguments implying the existence of a helicity suppression [ref] as well as on the above numerical estimates of the soft gluon charm loop contribution to $ΔC_7'$ from LCSR, we assume an uncertainty of $±0.4×10^-2$ on the real and imaginary parts of $ΔC_7'$ and consider this to be a conservative choice.
Constraints on new physics from radiative $B$ decays · Discussion of hadronic contributions · 0.97
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It was noticed in Refs. [ref] that the chiral suppression is relaxed by emission of a gluon from the quark loop and contributes dominantly to the time-dependent CP asymmetry in $B^0→K^*0γ$, which motivates the inclusion of these contributions.
Meson distribution amplitudes - applications to weak radiative B decays and B transition form factors · Soft Quark Loops · 0.98
Cites it as background 2 papers
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The technical details for $B→Vγ$ have been provided in [ref] .
Towards $B \to V \gamma$ Decays at NNLO in SCET · Introduction · 0.84
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Another interesting observable that probes the $b →s γ$ transition is the time-dependent CP asymmetry in the exclusive $B_d →K^* (→K^0_S π^0) γ$ decay [ref]
Model-independent constraints on new physics in b --> s transitions · $b→sγ$ · 0.80
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