Fermionic NNLL corrections to b -> s γ

Abstract

In this paper we take the first step towards a complete next-to-next-to-leading logarithmic (NNLL) calculation of the inclusive decay rate for $B\to X_s\gamma$. We consider the virtual corrections of order $\alphas^2 n_f$ to the matrix elements of the operators $O_1$, $O_2$ and $O_8$ and evaluate the real and virtual contributions to $O_7$. These corrections are expected to be numerically important. We observe a strong cancelation between the contributions from the current-current operators and $O_7$ and obtain, after applying naive non-abelianization, a reduction of the branching ratio of 3.9% (for $\mu =3.0$ GeV) and an increase of 3.4% (for $\mu =9.6$ GeV).

38 pages, result extended to allow for an explicit photon energy cut-off, appendix and references added, final result and conlclusions unchanged

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• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
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• Analysis of Br(B-->X_s gamma) at NNLO with a Cut on Photon Energy
• B, D and K decays
• Measurements of the B -> X_s gamma Branching Fraction and Photon Spectrum from a Sum of Exclusive Final States
• Three-Loop Mixing of Dipole Operators
• Bound on minimal universal extra dimensions from Bbar -> X_s gamma
• The photon energy spectrum in B-> X_s + γin perturbative QCD through O(α_s^2)
• Radiative and Electroweak Penguin Decays of B Mesons
• QCD Corrections to Radiative B Decays in the MSSM with Minimal Flavor Violation
• Upper Bounds on Rare K and B Decays from Minimal Flavour Violation
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• Towards $B\to V\gamma$ Decays at NNLO in SCET
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
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• The electromagnetic dipole operator effect on B -> Xs gamma at O(alpha_s^2)
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• Magnetic dipole operator contributions to the photon energy spectrum in anti-B -> X(s) gamma at O(alpha(s)^2)
• Charm quark mass dependence of the electromagnetic dipole operator contribution to anti-B -> X(s) gamma at O(alpha**2(s))
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• FCNC $B_s$ and ${\Lambda }_b$ transitions: Standard Model versus a single Universal Extra Dimension scenario
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• 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)
• Large-m_c Asymptotic Behaviour of O(alpha_s^2) Corrections to B -> X_s gamma
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$
• Reduction of Charm Quark Mass Scheme Dependence in $\bar{B}\to X_s\gamma$ at the NNLL Level
• The expansion by regions in pi K scattering
• Review of Heavy Quark Physics - theory
• Complete (O_7,O_8) contribution to B -> X_s gamma at order alpha_s^2
• Status of SM calculations of b > s transitions
• Perturbative corrections to the determination of Vub from the P+ spectrum in B->X_u l nu
• Bounding the Minimal 331 Model through the Decay B -> X_s gamma
• New proofs for the two Barnes lemmas and an additional lemma
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• Specific three-loop contributions to $b\to s\gamma$ associated with the current-current operators
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• Recent developments in radiative B decays
• Developments in the evaluation of m_c dependent matrix elements in B -> Xs gamma at NNLO
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• Theoretical Interest in B-Meson Physics at the B factories, Tevatron and the LHC