NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$

Abstract

One of the most important O(${\alpha }_s^2$) corrections to the $B\to X_s\gamma$ branching ratio originates from interference of contributions from the current-current and photonic dipole operators. Its value has been estimated using an interpolation in the charm quark mass between the known results at $m_c=0$ and for $m_c\ll m_b/2$. An explicit calculation for the physical value of $m_c$ is necessary to remove the associated uncertainty. In the present work, we evaluate all the ultraviolet counterterm contributions that are relevant for this purpose.

journal version, references added; 14 pages, 3 figures, 1 table; some intermediate results in ancillary files

References in corpus (8)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Updated NNLO QCD predictions for the weak radiative B-meson decays
• FIRE5: a C++ implementation of Feynman Integral REduction
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Measurement of the $\bar{B}\to X_s\gamma$ Branching Fraction with a Sum of Exclusive Decays
• The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)
• Measurement of the inclusive $B\to X_{s+d}\gamma$ branching fraction, photon energy spectrum and HQE parameters

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• Global fits in the Aligned Two-Higgs-Doublet model
• Anomalies in $B$ Decays and Muon $g-2$ from Dark Loops
• Computing Tools for Effective Field Theories
• Updated global fit of the aligned two-Higgs-doublet model with heavy scalars
• One colorful resolution to the neutrino mass generation, three lepton flavor universality anomalies, and the Cabibbo angle anomaly
• Constraints on the quark mixing matrix with vector-like quarks
• The Q_{1,2}-Q_7 interference contributions to b -> s gamma at O(alpha_s^2) for the physical value of m_c
• Summary of the CKM 2016 working group on rare decays
• Recent progress in decays of $b$ and $c$ hadrons
• On charm-mass dependent NNLO corrections to B -> Xs gamma