Factorization and Sudakov Resummation in Leptonic Radiative B Decay

Abstract

Soft-collinear effective theory is used to prove factorization of the B->gamma+l+nu decay amplitude at leading power in Lambda/m_b, including a demonstration of the absence of non-valence Fock states and of the finiteness of the convolution integral in the factorization formula. Large logarithms entering the hard-scattering kernel are resummed by performing a two-step perturbative matching onto the low-energy effective theory, and by solving evolution equations derived from the renormalization properties of the leading-order B-meson light-cone distribution amplitude. As a byproduct, the evolution equation for heavy-collinear current operators in soft-collinear effective theory is derived.

20 pages, 5 figures; several references added or updated, extended discussion of the new elements of the factorization proof, typo in eq.(6) fixed; version to appear in Phys. Rev. D

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• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Infrared singularities of QCD amplitudes with massive partons
• 50 Years of Quantum Chromodynamics
• Exclusive processes in position space and the pion distribution amplitude
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Non-factorizable Contributions to $B\to \pi \pi$ Decays
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• B meson distribution amplitude from B --> γl ν
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
• Model-Independent Properties of the B-Meson Distribution Amplitude
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• On Power Suppressed Operators and Gauge Invariance in SCET
• Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Exclusive Radiative Decays of W and Z Bosons in QCD Factorization
• Light-cone sum rules in soft-collinear effective theory
• Towards $B\to V\gamma$ Decays at NNLO in SCET
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
• Soft-Collinear Messengers: A New Mode in Soft-Collinear Effective Theory
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• Rare radiative exclusive B decays in soft-collinear effective theory
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Factorization in exclusive quarkonium production
• External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• Deep inelastic scattering near the endpoint in soft-collinear effective theory
• QCD factorization for the four-body leptonic $B$-meson decays
• Quark mass effects in the soft-collinear effective theory and B -> X_s + photon in the endpoint region
• Study of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ decays in covariant quark model
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• Subleading collinear operators and their matrix elements
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• B-meson distribution amplitudes
• Subleading power corrections to $B\to \gamma l\nu$ decay in PQCD approach
• B meson wave function from the $B\to \gamma l\nu$ decay
• Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays
• Light-cone distribution amplitudes of heavy mesons with QED effects
• Radiative Quark Jet Function with an External Gluon
• Light-cone distribution amplitudes of light mesons with QED effects
• Transverse Momentum Dependent Factorization for Radiative Leptonic Decay of B-Meson
• Refactorisation in subleading $\bar{B}\to X_s\gamma$
• Spectator interactions in B -> V gamma decays and QCD factorisation
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• Search for the Radiative Leptonic Decay $D^{+}\to \gamma e^{+}{\nu }_e$
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Renormalization of the radiative jet function
• Factorization in exclusive semileptonic radiative B decays
• Revisiting radiative leptonic $B$ decay
• A factorization theorem connecting the light-cone distribution amplitudes of heavy-flavor mesons in QCD and HQET
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons Including the Soft Photon Region
• Analyticity, renormalization, and evolution of the soft-quark function
• Factorization of radiative leptonic D-meson decay with sub-leading power corrections
• A numerical formulation of resummation in effective field theory
• Study on pure annihilation type B to V gamma decays
• Signatures of a Flavor Changing $Z^{\prime }$ Boson in $B_q\to \gamma Z^{\prime }$
• Theoretical Introduction to B Decays and the Soft-Collinear Effective Theory
• Radiative $B$ to axial-vector meson decays at NLO in Soft-Collinear Effective Theory
• Probing the structure of the $B$ meson with $B\to \ell \ell {\ell }^{\prime }\nu$
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories
• Soft-collinear factorization in B decays
• QCD and Heavy Hadron Decays
• Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO
• Recent progress in decays of $b$ and $c$ hadrons
• QCD factorization for the $B\to \gamma \ell {\nu }_{\ell }$ decay beyond leading power
• Factorization of multiparticle contributions to amplitudes of B-meson weak decays