Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
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PhysRevD.96.051901.pdf
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Author(s)
Cheng, Shan
Khodjamirian, Alexander
Virto, Javier
Date Issued
September 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Cheng, Shan, et al. “Timelike-Helicity B → π π Form Factor from Light-Cone Sum Rules with Dipion Distribution Amplitudes.” Physical Review D, vol. 96, no. 5, Sept. 2017. © 2017 American Physical Society
Version
Final published version
Abstract
We complete the set of QCD light-cone sum rules for B→ππ transition form factors, deriving a new sum rule for the timelike-helicity form factor F[subscript t] in terms of dipion distribution amplitudes. This sum rule, in the leading twist-two approximation, is directly related to the pion vector form factor. Employing a relation between F[subscript t] and other B→ππ form factors, we obtain also the longitudinal-helicity form factor F[subscript 0]. In this way, all four (axial-)vector B→ππ form factors are predicted from light-cone sum rules with dipion distribution amplitudes. These results are valid for small dipion masses with large momentum.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.96.051901
