Magnetic dipole operator contributions to the photon energy spectrum in anti-B -> X(s) gamma at O(alpha(s)^2)

Abstract

We compute the O(α_s^2) contributions to the photon energy spectrum of the inclusive decay \bar{B} -> X_s γassociated with the magnetic penguin operator O_7. They are an essential part of the ongoing NNLO calculation of this important decay. We use two different methods to evaluate the master integrals, one based on the differential equation approach and the other on sector decomposition, leading to identical results which in turn agree with those of a recent independent calculation by Melnikov and Mitov. We study the numerical relevance of this set of NNLO contributions in the photon energy spectrum and discuss the change of bottom quark mass scheme.

arXiv comment18 pages, uses axodraw.sty

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• Flavor Physics in the Quark Sector
• Feynman Diagrams and Differential Equations
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• B, D and K decays
• Bound on minimal universal extra dimensions from Bbar -> X_s gamma
• Radiative and Electroweak Penguin Decays of B Mesons
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Charm quark mass dependence of the electromagnetic dipole operator contribution to anti-B -> X(s) gamma at O(alpha**2(s))
• FCNC $B_s$ and ${\Lambda }_b$ transitions: Standard Model versus a single Universal Extra Dimension scenario
• Fermionic corrections to the interference of the electro- and chromomagnetic dipole operators in anti-B --> X(s) gamma at O(alpha(s)**2)
• Completing the Calculation of BLM corrections to B -> Xs gamma
• Radiative B decay spectrum: DGE at NNLO
• Anti-B --> X(s) gamma in two universal extra dimensions
• Chromomagnetic Dipole-Operator Corrections in Bbar -> X_sgamma at O(beta_0 alpha_s^2)
• Subleading Jet Functions in Inclusive B Decays
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• Complete (O_7,O_8) contribution to B -> X_s gamma at order alpha_s^2
• Four-body contributions to B -> Xs gamma at NLO
• Running-coupling effects in the triple-differential charmless semileptonic decay width
• Bounding the Minimal 331 Model through the Decay B -> X_s gamma
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• Recent developments in radiative B decays
• Master Integrals for double real radiation emission in heavy-to-light quark decay