Towards $B\to V\gamma$ Decays at NNLO in SCET

Abstract

We compute NNLO ($\mathcal{O}({\alpha }_s^2)$) corrections to the hard-scattering kernels entering the QCD factorization formula for $B\to V\gamma$ decays, where $V$ is a light vector meson. We give complete NNLO results for the dipole operators $Q_7$ and $Q_8$, and partial results for $Q_1$ valid in the large-${\beta }_0$ limit and neglecting the NNLO correction from hard spectator scattering. Large perturbative logarithms in the hard-scattering kernels are identified and resummed using soft-collinear effective theory. We use our results to estimate the branching fractions for $B\to K^{\ast }\gamma$ and $B_s\to \varphi \gamma$ decays at NNLO and compare them with the current experimental data.

33 pages, 2 figures; text modified in sections 3 and 4, added 3 equations [(23),(40),(46)] and corrected Eq. (39); added 4 references; title slightly modified; to appear in the European Physical Journal C

References in corpus (63)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Asymptotic expansion of Feynman integrals near threshold
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]
• Observation of Bs-Bsbar Oscillations
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• Naive nonabelianization and resummation of fermion bubble chains
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Exclusive radiative and electroweak b->d and b->s penguin decays at NLO
• Virtual $O(\a_s)$ corrections to the inclusive decay $b\to s\gamma$
• The B-Meson Distribution Amplitude in QCD
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• B->V gamma Beyond QCD Factorisation
• The Radiative Decays B -> V gamma at Next-to-Leading Order in QCD
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• Present Status of Inclusive Rare B Decays
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Averages of b-hadron Properties at the End of 2005
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Study of Exclusive Radiative B Meson Decays
• Branching Ratios for $B\to K^{\ast }\gamma$ and $B\to \rho \gamma$ Decays in Next-to-Leading Order in the Large Eneregy Effective Theory
• Completing the NLO QCD calculation of B -> Xs gamma
• Toward a NNLO calculation of the B-->X_s gamma decay rate with a cut on photon energy: I. Two-loop result for the soft function
• Three-loop matching of the dipole operators for b -> s gamma and b -> s g
• Analysis of Br(B-->X_s gamma) at NNLO with a Cut on Photon Energy
• Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• Three-Loop Mixing of Dipole Operators
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays
• Results and Techniques of Multi-Loop Calculations
• Isospin Breaking in B -> K^* gamma Decays
• Measurement of the B --> K^* gamma Branching Fractions and Asymmetries
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• The photon polarization in B -> X gamma in the standard model
• Fermionic NNLL corrections to b -> s γ
• Loop corrections to sub-leading heavy quark currents in SCET
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Factorization in B->V gamma Decays
• The electromagnetic dipole operator effect on B -> Xs gamma at O(alpha_s^2)
• Implication of the $B\to (\rho ,\omega )\gamma$ Branching Ratios for the CKM Phenomenology
• Two-Loop Matrix Element of the Current-Current Operator in the Decay B -> X_s gamma
• Advanced Predictions for Moments of the B->X_s+gamma Photon Spectrum
• NNLL QCD Contribution of the Electromagnetic Dipole Operator to Gamma(anti-B -> X(s) gamma)
• Observation of b --> d gamma and Determination of |V_td/V_ts|
• CP asymmetry, branching ratios and isospin breaking effects of B -> K* gamma with the perturbative QCD approach
• Constraining the Unitarity Triangle with B -> V gamma
• Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
• Rare radiative exclusive B decays in soft-collinear effective theory
• Radiative corrections to hard spectator scattering in $B\to \pi \pi$ decays
• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• Spectator interactions in B -> V gamma decays and QCD factorisation

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• Anomalous $tq\gamma$ coupling effects in exclusive radiative B-meson decays
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• Nonperturbative Charming Penguin Contributions to Isospin Asymmetries in Radiative B decays
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• Results in $B_s$ physics and bottomonium spectroscopy using the Belle ${\rm Y}(5S)$ data
• Rare B-Meson Decays at the Crossroads
• Theory Review of Exclusive Rare Radiative Decays
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• Measurement of $B\to K{}^{\ast }(892)\gamma$ decays at Belle II
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