The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)

Abstract

Interference between the photonic dipole operator Q_7 and the current-current operators Q_{1,2} gives one of the most important QCD corrections to the B -> X_s gamma decay rate. So far, the O(alpha_s^2) part of this correction has been known in the heavy charm quark limit only (m_c >> m_b/2). Here, we evaluate this part at m_c=0, and use both limits in an updated phenomenological study. Our prediction for the CP- and isospin-averaged branching ratio in the Standard Model reads B^SM_{s gamma} = (3.36 +_ 0.23) * 10^-4 for E_gamma > 1.6 GeV.

arXiv comment38 pages, 7 figures, 3 tables

References in corpus (23)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• FORM version 4.0
• Calculation of the quark and gluon form factors to three loops in QCD
• Quark and gluon form factors to three loops
• Physics at Super B Factory
• Charm and Bottom Quark Masses: an Update
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• $\bar{B}\to X_s\gamma$ in the Two Higgs Doublet Model up to Next-to-Next-to-Leading Order in QCD
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Mass effects in muon and semileptonic b -> c decays
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Inclusive semileptonic fits, heavy quark masses, and V_cb
• 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
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Completing the Calculation of BLM corrections to B -> Xs gamma
• 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)
• Large-m_c Asymptotic Behaviour of O(alpha_s^2) Corrections to B -> X_s gamma
• Power suppressed effects in B-> X_s gamma at O(alpha_s)
• Tree-level contribution to \bar{B} -> X_d gamma using fragmentation functions
• Master integrals for massless three-loop form factors

Cited by in corpus (22)

• Global analysis of $b\to s\ell \ell$ anomalies
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• Matching of gauge invariant dimension 6 operators for $b\to s$ and $b\to c$ transitions
• Rare $B$ Decays as Tests of the Standard Model
• Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators
• Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
• Flavor constraints on the Two Higgs Doublet Models of $Z_2$ symmetric and aligned types
• Hadronic uncertainties in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$: a state-of-the-art analysis
• FlavBit: A GAMBIT module for computing flavour observables and likelihoods
• flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond
• A minimal flavored $U(1{)}^{\prime }$ for $B$-meson anomalies
• Likelihood analysis of the flavour anomalies and $g-2$ in the general two Higgs doublet model
• The $W\gamma$ decay of the elusive charged Higgs boson in the two-Higgs-doublet model with vectorlike fermions
• NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$
• Constraints on the quark mixing matrix with vector-like quarks
• On the importance of direct detection combined limits for spin independent and spin dependent dark matter interactions
• $\bar{B}\to X_s\gamma$ with a warped bulk Higgs
• Rare B-Meson Decays at the Crossroads
• Rare decays of b hadrons
• Top quark effective couplings from top-pair tagged photoproduction in $p{e}^{-}$ collisions
• Summary of the CKM 2016 working group on rare decays
• On charm-mass dependent NNLO corrections to B -> Xs gamma