Transverse Momentum Dependent Factorization for Radiative Leptonic Decay of B-Meson

Abstract

With a consistent definition of transverse-momentum-dependent(TMD) light-cone wave function of $B$-meson, we show that the amplitude of the radiative leptonic B-decay can be factorized at one-loop level as a convolution with the wave function and a perturbative coefficient function, combined with a soft factor. In this TMD factorization, the transverse momenta of partons in the $B$-meson are taken into account and all soft divergences are contained in the wave function and the soft factor. The coefficient function is infrared-safe. The factorization works on a diagram-by-diagram basis and is possible to extend beyond one loop. With the factorization the large logarithms in the perturbative function can be simply resummed. Our work shows that the result of collinear factorization for the decay can be derived from that of TMD factorization. Therefore, the two factorizations for the case here are simply related to each other.

19 pages, 5 figures, typos eliminated, text imporved

References in corpus (36)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Asymptotics of Heavy-Meson Form Factors
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• Perturbative QCD Analysis of $B$ Meson Decays
• Threshold resummation for exclusive B meson decays
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Radiative leptonic decays of B mesons in QCD
• Collinear effective theory at subleading order and its application to heavy-light currents
• Factorization in leptonic radiative B -> gamma eνdecays
• Calculation of Long-Distance Effects in Exclusive Weak Radiative Decays of B-Mesons
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Estimates of the Weak Annihilation Contributions to the Decays $B\to \rho +\gamma$ and $B\to \omega +\gamma$
• Radiative Leptonic Decays of Heavy Mesons
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• Nonfactorizable soft gluons in nonleptonic heavy meson decays
• Sudakov effects in B -> pi l nu form factors
• Radiative Decay $B\to l\nu \gamma$ in the Light Cone QCD Approach
• B->gamma e nu Transitions from QCD Sum Rules
• $k_T$ factorization of exclusive processes
• Radiative Leptonic B Decays in the Light Front Model
• $B$ meson wave function in $k_T$ factorization
• Pure Leptonic Radiative Decays $B^{\pm },D_s\to \ell \nu \gamma$ and the Annihilation Graph
• B meson wave function from the $B\to \gamma l\nu$ decay
• Leptonic Constant from B Meson Radiative Decay
• Transverse Momentum Dependent Light-Cone Wave Function of B-Meson and Relation to the Momentum Integrated One

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