Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c

Abstract

Strengthening constraints on new physics from the B -> X_s gamma branching ratio requires improving accuracy in the measurements and the Standard Model predictions. To match the expected Belle-II accuracy, Next-to-Next-to-Leading Order (NNLO) QCD corrections must be calculated without the so-far employed interpolation in the charm-quark mass m_c. In the process of evaluating such corrections at the physical value of m_c, we have finalized the part coming from diagrams with closed fermion loops on the gluon lines that contribute to the interference of the current-current and photonic dipole operators. We confirm several published results for corrections of this type, and supplement them with a previously uncalculated piece. Taking into account the recently improved estimates of non-perturbative contributions, we find B_{s gamma} = (3.40 \pm 0.17) * 10^{-4} and R_gamma = B_{(s+d) gamma}/B_{c l nu} = (3.35 \pm 0.16) * 10^{-3} for E_gamma > 1.6 GeV in the decaying meson rest frame.

journal version, 16 pages, 5 figures

References in corpus (11)

• Updated NNLO QCD predictions for the weak radiative B-meson decays
• FIRE5: a C++ implementation of Feynman Integral REduction
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• Precision determination of the CKM element Vcb
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate
• 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))
• Completing the Calculation of BLM corrections to B -> Xs gamma
• Chromomagnetic Dipole-Operator Corrections in Bbar -> X_sgamma at O(beta_0 alpha_s^2)
• Reevaluating Uncertainties in $\bar{B}\to X_s\gamma$ Decay

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