NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma

Abstract

We compute the virtual O(alpha_s^2) fermionic contributions to the charm quark mass dependent matrix elements of the B -> X_s gamma decay. In the case of a massless quark loop insertion into the gluon propagator, our result obtained as an expansion in z=m_c^2/m_b^2 and an exact expression in terms of multi-fold MB integrals, confirms the findings of Bieri, Greub and Steinhauser [19]. We observe, however, large deviations in the case of a b-quark loop insertion.The charm quark loop shows smaller, but still noticeable differences.

11 pages, 3 figures, 1 table

References in corpus (3)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• 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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• Fermionic corrections to the interference of the electro- and chromomagnetic dipole operators in anti-B --> X(s) gamma at O(alpha(s)**2)
• Anti-B --> X(s) gamma in two universal extra dimensions
• QCD Calculations of Radiative B Decays
• Recent developments in radiative B decays
• Developments in the evaluation of m_c dependent matrix elements in B -> Xs gamma at NNLO