Transverse Momentum Dependent Light-Cone Wave Function of B-Meson and Relation to the Momentum Integrated One

Abstract

A direct generalization of the transverse momentum integrated(TMI) light-cone wave function to define a transverse momentum dependent(TMD) light-cone wave function will cause light-cone singularities and they spoil TMD factorization. We motivate a definition in which the light-cone singularities are regularized with non-light like Wilson lines. The defined TMD light-cone wave function has some interesting relations to the corresponding TMI one. When the transverse momentum is very large, the TMD light-cone wave function is determined perturbatively in term of the TMI one. In the impact $b$-space with a small $b$, the TMD light-cone wave function can be factorized in terms of the TMI one. In this letter we study these relations. By-products of our study are the renormalization evolution of the TMI light-cone wave function and the Collins-Soper equation of the TMD light-cone wave function, the later will be useful for resumming Sudakov logarithms.

Minor change in text, 7 pages, two figures

References in corpus (17)

• 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
• 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
• The B-Meson Distribution Amplitude in QCD
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• Perturbative QCD Analysis of $B$ Meson Decays
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• What exactly is a parton density?
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Nonfactorizable soft gluons in nonleptonic heavy meson decays
• Counting Rule for Hadronic Light-Cone Wave Functions
• $B$ meson wave function in $k_T$ factorization

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