2007
DOI: 10.1088/1126-6708/2007/01/029
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Radiative B decay spectrum: DGE at NNLO

Abstract: We compute the differentialB → X s γ decay width in the Standard Model as a function of the photon energy using Dressed Gluon Exponentiation (DGE). The resummed spectrum is matched with the fixed-order expansion, making use of the next-to-next-toleading order (NNLO) results for the matrix element of the magnetic dipole interaction O 7 and NLO ones for other operators in the effective Weak Hamiltonian. We develop a new technique to implement constraints on the analytic structure of the Sudakov factor in moment … Show more

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Cited by 42 publications
(59 citation statements)
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References 72 publications
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“…Using 605 fb −1 of data taken at the Υ(4S) and 68 fb −1 taken below the resonance, we obtain B(B → X s γ : E B γ > 1.7 GeV) = (3.31 ± 0.19 ± 0.37 ± 0.01) × 10 −4 , where the errors are statistical, systematic and due to the boost correction, respectively. This result is in agreement with the latest theoretical calculations [1,2,27]. The results can be used to place constraints on new physics [32] and determine SM parameters such as the b-quark mass [33].…”
supporting
confidence: 89%
See 1 more Smart Citation
“…Using 605 fb −1 of data taken at the Υ(4S) and 68 fb −1 taken below the resonance, we obtain B(B → X s γ : E B γ > 1.7 GeV) = (3.31 ± 0.19 ± 0.37 ± 0.01) × 10 −4 , where the errors are statistical, systematic and due to the boost correction, respectively. This result is in agreement with the latest theoretical calculations [1,2,27]. The results can be used to place constraints on new physics [32] and determine SM parameters such as the b-quark mass [33].…”
supporting
confidence: 89%
“…The unfolding matrix, derived from signal MC, is calibrated to data using the results of a study of radiative di-muon events, which gave the ECL response in data and MC in an energy and acceptance range consistent with our analysis. We use five signal models: KN [24], BLNP [25,26], DGE [27], BBU [28] and GG [29]. Values of the parameters of the signal model used in the signal MC are derived from fits to the signal spectrum shown in Fig 4. The two error bars for each point show the statistical and the total error, including the systematic error which is correlated among the points.…”
mentioning
confidence: 99%
“…Far away from the endpoint (E 0 = 1.6 GeV), the logarithmic and nonlogarithmic terms cancel; this kind of cancellation was already observed in Ref. [40]. Within the resummation of the cutoff-enhanced logarithms this feature leads to an overestimate of the O(α 3 s ) terms [39].…”
Section: The Inclusive Decayb → X Sd γmentioning
confidence: 54%
“…Such an approach can be used to predict large logarithms of the form ln(E max − E cut ). These computations have also achieved NNLO accuracy [26] and incorporate Sudakov and renormalon resummation via dressed gluon exponentiation (DGE) [26,27]. The present NNLO estimate of 1 − T = 0.016 ± 0.003 pert [26,28] indicates a much thinner tail of the photon energy spectrum and a considerable smaller perturbative uncertainty than reported in [22].…”
Section: Pos(kaon)056mentioning
confidence: 73%