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Resummation of rapidity logarithms in B meson wave functions

  • Hsiang-nan Li
  • Yue-Long Shen
  • Yu-Ming Wang
Article

Abstract

We construct an evolution equation for the B meson wave functions in the k T factorization theorem, whose solutions sum the double logarithms associated with the light-cone singularities, namely, the rapidity logarithms. The derivation is subtler than that of the Sudakov resummation for an energetic light hadron, due to the involvement of the effective heavy-quark field. The renormalization-group evolution in the factorization scale needs to be included in order to derive an ultraviolet-finite and scale-invariant kernel for resumming the rapidity logarithms. It is observed that this kernel is similar to that of the joint resummation for QCD processes in extreme kinematic regions, which combines the threshold and k T resummations. We show that the resummation effect maintains the normalization of the B meson wave functions, and strengths their convergent behavior at small spectator momentum. The resummation improved B meson wave functions are then employed in the leading-order analysis of the B → π transition form factors, which lead to approximately 25 % deduction in the large recoil region.

Keywords

Resummation B-Physics QCD 

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© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Institute of PhysicsAcademia SinicaTaipeiRepublic of China
  2. 2.Department of PhysicsNational Cheng-Kung UniversityTainanRepublic of China
  3. 3.Department of PhysicsNational Tsing-Hua UniversityHsinchuRepublic of China
  4. 4.College of Information Science and EngineeringOcean University of ChinaQingdaoP.R. China
  5. 5.Theoretische Physik 1, Naturwissenschaftlich-Technische FakultätUniversität SiegenSiegenGermany
  6. 6.Physik Department T31, James-Franck-StraßeTechnische Universität MünchenGarchingGermany

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