Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate

Gil Paz (IAS Princeton); Mainz U.); Matthias Neubert (Cornell; Seung J. Lee (Cornell U.)

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Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate

Seung J. Lee (Cornell U.), Matthias Neubert (Cornell, Mainz U.), Gil Paz (IAS Princeton)

High Energy Physics - Phenomenology · Submitted 21 Sep 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product expansion.

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arXiv IDhep-ph/0609224 (version 2)

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CitationGil Paz (IAS Princeton), Mainz U.), Matthias Neubert (Cornell, Seung J. Lee (Cornell U.). "Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate." arXiv:hep-ph/0609224 (2006). https://pith.science/paper/CDFEPJBO

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What the abstract itself states, as probabilities: claims first 0.22 · states limitation 0.75 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.91 · compares with prior results 0.30 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product expansion. Instead, these effects are described in terms of hadronic matrix elements of non-local operators with component fields separated by light-like distances. They contribute to the high-energy part of the photon-energy spectrum but do not reduce to local operators when an integral over energy is taken to obtain the total inclusive decay rate. The dominant corrections depend on the flavor of the B-meson spectator quark and are described by tri-local four-quark operators. Their contribution is estimated using the vacuum insertion approximation. The corresponding uncertainty in the total decay rate is found to be at the few percent level. This new effect accounts for the leading contribution to the rate difference between B^- and B^0 mesons.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product expansion.	contribution 0.69	0.88	0.80	asserted 1.00
s1	Instead, these effects are described in terms of hadronic matrix elements of non-local operators with component fields separated by light-like distances.	method 0.71	0.66	0.09	asserted 1.00
s2	They contribute to the high-energy part of the photon-energy spectrum but do not reduce to local operators when an integral over energy is taken to obtain the total inclusive decay rate.	result 0.82	0.75	0.16	asserted 1.00
s3	The dominant corrections depend on the flavor of the B-meson spectator quark and are described by tri-local four-quark operators.	result 0.82	0.78	0.16	asserted 1.00
s4	Their contribution is estimated using the vacuum insertion approximation.	method 1.00	0.80	0.04	asserted 0.99
s5	The corresponding uncertainty in the total decay rate is found to be at the few percent level.	result 0.96	0.91	0.10	asserted 1.00
s6	This new effect accounts for the leading contribution to the rate difference between B^- and B^0 mesons.	interpretation 0.61	0.81	0.35	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.83.

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The paper

Original abstract

A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product expansion. Instead, these effects are described in terms of hadronic matrix elements of non-local operators with component fields separated by light-like distances. They contribute to the high-energy part of the photon-energy spectrum but do not reduce to local operators when an integral over energy is taken to obtain the total inclusive decay rate. The dominant corrections depend on the flavor of the B-meson spectator quark and are described by tri-local four-quark operators. Their contribution is estimated using the vacuum insertion approximation. The corresponding uncertainty in the total decay rate is found to be at the few percent level. This new effect accounts for the leading contribution to the rate difference between B^- and B^0 mesons.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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The authors derive and solve the renormalization-group equation for the subleading shape function g17(ω,ω1;μ) in inclusive B decays, and simplify the RG evolution of a related exclusive soft function.
Treating the b quark distribution function with reliable uncertainties
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A complete orthonormal basis for the nonperturbative shape function, combined with renormalization-group evolution and moment constraints, gives a systematic handle on functional-form uncertainties in inclusive B decays.
Reevaluating Uncertainties in $\bar B\to X_s\gamma$ Decay
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New moment relations for the soft function g17, combined with a 2016 global fit of HQET parameters, tighten the resolved photon contribution to the B -> X_s gamma total rate to about [-0.3,+1.6]% but widen the CP-asym...
NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
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A three-loop QCD matrix element for B -> X_s gamma is computed in the heavy-charm limit and interpolated to the physical charm mass, giving a Standard Model branching ratio of (3.15 +/- 0.23) x 10^-4 above 1.6 GeV.
Update of the nonlocal sub-leading ${O}_1$-${O}_7$ contribution to $\bar B \to X_s \gamma$ at LO
hep-ph 2025-12 unverdicted novelty 4.0 of 10

Updated leading-order calculation of the complete non-local O1-O7 contribution to inclusive B-bar to Xs gamma decay, incorporating correlations with the local Voloshin term and revising its range.

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The authors compute the closed-fermion-loop NNLO QCD corrections to the B -> X_s gamma decay rate at the physical charm mass, confirm prior results, add one new small piece, and update the SM prediction to B_sγ = (3.4...
Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
hep-ph 2006-09 conditional novelty 4.0 of 10

Combining previously published O(alpha_s^2) ingredients, the authors obtain BR(B -> X_s gamma) = (3.15 +/- 0.23) x 10^-4 for E_gamma > 1.6 GeV, the first NNLO Standard Model prediction for this decay.
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25 arXiv papers cite this in 43 sentences

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Contests it 1 paper

In fact, the uncertainty from $Q_7γ-Q_8g$ [ref] was largely missed[Spectator effects from $Q_7γ-Q_8g$ were considered in [ref] but they were estimated in a model dependent way that underestimated their effects.].

Theory of Inclusive Radiative B Decays · Recent developments in $B̅→X_s γ$: Non-Perturbative Aspects · contest 0.74

Compares with it 2 papers

This is also the uncertainty from a previous estimate based on $Q_7γ-Q_8g$ alone [ref] , with an extra $50%$ deviation from VIA.

Theory of Inclusive Radiative B Decays · Total Uncertainty · 0.92
In the VIA we obtain [equation] The second term coincides with the result derived first in [ref] .

Factorization at Subleading Power and Irreducible Uncertainties in $\bar B\to X_s\gamma$ Decay · Partially integrated decay rate · 0.96

Cites it as support 2 papers

This is especially important for radiative $B$ decays, where the diagrammatic approach used in the previous decade has missed the largest source of non-perturbative uncertainty [ref] .

Factorization at Subleading Power and Irreducible Uncertainties in $\bar B\to X_s\gamma$ Decay · Conclusions · 0.96
More generally, it has now been established that as soon as operators other than the dipole operator $Q_7γ$ are not ignored, then there is no local operator product expansion for the $B̅→X_sγ$ decay rate and moments, even outside the shape-function region [ref] .

QCD Calculations of Decays of Heavy Flavor Hadrons · Extraction of $m_b$ from a fit to $B̅→X_c l ν̅_l$ moments · 0.97

Cites it as background 5 papers

In case of the inclusive $B̅ →X_s γ$ decays all resolved contibutions to $O(1/m_b)$ have been analysed some time ago [ref] .

Resolved $1/m_b$ contributions to $\bar B \to X_{s,d} \ell^+\ell^-$ and $\bar B \to X_s \gamma$ · Introduction and new inputs · 0.85
An analysis of all resolved photon contributions to the inclusive decay $B̅ →X_sγ$ related to other operators in the weak Hamiltonian has been presented in Ref. [ref] (see also Ref. [ref] ).

Subleading Power Factorization in $\bar B \to X_s \ell^+\ell^-$ · Introduction · 0.91
The resolved contributions are nonlocal sub-leading contributions to the inclusive penguin modes, which are characterised by containing subprocesses in which the real or virtual photon couples to light partons instead of connecting directly to the effective electroweak vertex [ref] .

Update of the nonlocal sub-leading ${O}_1$-${O}_7$ contribution to $\bar B \to X_s \gamma$ at LO · Introduction · 0.98

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