B decays to radially excited D mesons in heavy quark effective theory

Semileptonic transitions B¯→D(n)ℓν¯, where D(n)(n≠0) is a radially excited meson, have recently attracted much attention as a way to understand some puzzles between theory and data. In the heavy quark limit the inelastic Isgur-Wise function vanishes at zero recoil, ξ(n)(1)=0(n≠0). We consider here t...

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Bibliographic Details
Published in:Physical review. D 2017-09, Vol.96 (5), Article 056016
Main Authors: Bečirević, Damir, Le Yaouanc, Alain, Oliver, Luis
Format: Article
Language:English
Subjects:
High Energy Physics - Experiment
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Mesons
Physics
Quantum chromodynamics
Quarks
Recoil
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Summary:Semileptonic transitions B¯→D(n)ℓν¯, where D(n)(n≠0) is a radially excited meson, have recently attracted much attention as a way to understand some puzzles between theory and data. In the heavy quark limit the inelastic Isgur-Wise function vanishes at zero recoil, ξ(n)(1)=0(n≠0). We consider here the 1/mQ corrections within heavy quark effective theory. We find simple formulas that involve the derivative of the inelastic IW function at w=1, ξ(n)′(1)(n≠0). We propose a number of ways of isolating this important quantity in practice, with emphasis on lattice QCD. We formulate also a generalization to the inelastic case of Luke’s theorem.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.96.056016