Completing the Calculation of BLM corrections to B -> Xs gamma

Abstract

Perturbative O(alpha_s^2) corrections to BR(B -> Xs gamma) in the BLM approximation receive contributions from two-, three- and four-body final states. While all the two-body results are well established by now, the other ones have remained incomplete for several years. Here, we calculate the last contribution that has been missing to date, namely the one originating from interference of the current-current and gluonic dipole operators (K_18^{(2)beta_0} and K_{28}^{(2)beta_0}). Moreover, we confirm all the previously known results for BLM corrections to the photon energy spectrum that involve the current-current operators (e.g., K_{22}^{(2)beta_0} and K_{27}^{(2)beta_0}). Finally, we also confirm the recent findings of Ferroglia and Haisch on self-interference of the gluonic dipole operator (K_{88}^{(2)beta_0}).

5 pages, 2 ps figures

References in corpus (7)

• 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
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• 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))
• Fermionic corrections to the interference of the electro- and chromomagnetic dipole operators in anti-B --> X(s) gamma at O(alpha(s)**2)
• Chromomagnetic Dipole-Operator Corrections in Bbar -> X_sgamma at O(beta_0 alpha_s^2)

Cited by in corpus (7)

• Updated NNLO QCD predictions for the weak radiative B-meson decays
• The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)
• Theory of Inclusive Radiative B Decays
• Rare Flavor Processes in Maximally Natural Supersymmetry
• Theory of Inclusive Radiative B Decays: 2012 Update
• Associated Production of Different Flavor Heavy Quarks Through $W^{\prime }$ Bosons at the LHC
• On charm-mass dependent NNLO corrections to B -> Xs gamma