Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes

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 for...

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Main Authors: Cheng, Shan, Khodjamirian, Alexander, Virto, Javier
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/113609
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author Cheng, Shan
Khodjamirian, Alexander
Virto, Javier
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Cheng, Shan
Khodjamirian, Alexander
Virto, Javier
author_sort Cheng, Shan
collection MIT
description 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.
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spelling mit-1721.1/1136092022-10-01T23:01:59Z Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes Cheng, Shan Khodjamirian, Alexander Virto, Javier Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Virto, Javier 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. Swiss National Science Foundation Horizon 2020 Framework Programme (European Commission) (Marie Sklodowska-Curie Grant Agreement 700525 NIOBE) Explora (Project FPA2014-61478-EXP) 2018-02-12T21:34:54Z 2018-02-12T21:34:54Z 2017-09 2017-08 2017-11-14T22:45:32Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/113609 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 en http://dx.doi.org/10.1103/PhysRevD.96.051901 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Cheng, Shan
Khodjamirian, Alexander
Virto, Javier
Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title_full Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title_fullStr Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title_full_unstemmed Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title_short Timelike-helicity y B → ππ form factor from light-cone sum rules with dipion distribution amplitudes
title_sort timelike helicity y b ππ form factor from light cone sum rules with dipion distribution amplitudes
url http://hdl.handle.net/1721.1/113609
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