B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region

We reexamine the B→πℓ+ℓ−(ℓ=e,μ,τ) form factors, f+B→π(q2), f0B→π(q2) and fTB→π(q2), in the entire region of the momentum transfer squared q2, by taking advantage of the complementarity between lattice QCD (LQCD) simulation and light cone sum rule approach (LCSR), and analyticity of the form factors....

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Main Authors: Zuo-Hong Li, Zong-Guo Si, Ying Wang, Nan Zhu
Format: Article
Language:English
Published: Elsevier 2015-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315003168
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author Zuo-Hong Li
Zong-Guo Si
Ying Wang
Nan Zhu
author_facet Zuo-Hong Li
Zong-Guo Si
Ying Wang
Nan Zhu
author_sort Zuo-Hong Li
collection DOAJ
description We reexamine the B→πℓ+ℓ−(ℓ=e,μ,τ) form factors, f+B→π(q2), f0B→π(q2) and fTB→π(q2), in the entire region of the momentum transfer squared q2, by taking advantage of the complementarity between lattice QCD (LQCD) simulation and light cone sum rule approach (LCSR), and analyticity of the form factors. A LCSR calculation with a chiral current correlator, which could avoid pollution by twist-3 components, is performed at twist-2 next-to-leading order (NLO) accuracy, to determinate the form factor shapes in the small and intermediate q2 region. Further, fitting simultaneously the LCSR results for these form factors and the related LQCD ones (available or based on a SUF(3) symmetry breaking ansatz) to a Bourrely–Caprini–Lellouch (BCL) parametrization, we get a global understanding of their q2 behaviors. Our findings turn out to be consistent with the recent study by Ali, Parkhomenko and Rusov, and the resulting observation for the vector form factor provides support for the existing LQCD as well as LCSR predictions extrapolated to the entire kinematically accessible region.
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spelling doaj.art-ed5e34878adc40fcb48c6f3ea4e86a8b2022-12-22T01:44:36ZengElsevierNuclear Physics B0550-32131873-15622015-11-01900C19822110.1016/j.nuclphysb.2015.09.008B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible regionZuo-Hong Li0Zong-Guo Si1Ying Wang2Nan Zhu3Department of Physics, Yantai University, Yantai, 264005, PR ChinaSchool of Physics, Shandong University, Jinan, 250100, PR ChinaSchool of Physics, Shandong University, Jinan, 250100, PR ChinaDepartment of Physics, Yantai University, Yantai, 264005, PR ChinaWe reexamine the B→πℓ+ℓ−(ℓ=e,μ,τ) form factors, f+B→π(q2), f0B→π(q2) and fTB→π(q2), in the entire region of the momentum transfer squared q2, by taking advantage of the complementarity between lattice QCD (LQCD) simulation and light cone sum rule approach (LCSR), and analyticity of the form factors. A LCSR calculation with a chiral current correlator, which could avoid pollution by twist-3 components, is performed at twist-2 next-to-leading order (NLO) accuracy, to determinate the form factor shapes in the small and intermediate q2 region. Further, fitting simultaneously the LCSR results for these form factors and the related LQCD ones (available or based on a SUF(3) symmetry breaking ansatz) to a Bourrely–Caprini–Lellouch (BCL) parametrization, we get a global understanding of their q2 behaviors. Our findings turn out to be consistent with the recent study by Ali, Parkhomenko and Rusov, and the resulting observation for the vector form factor provides support for the existing LQCD as well as LCSR predictions extrapolated to the entire kinematically accessible region.http://www.sciencedirect.com/science/article/pii/S0550321315003168
spellingShingle Zuo-Hong Li
Zong-Guo Si
Ying Wang
Nan Zhu
B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
Nuclear Physics B
title B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
title_full B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
title_fullStr B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
title_full_unstemmed B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
title_short B→πℓ+ℓ− form factors reexamined in the whole kinematically accessible region
title_sort b πl l form factors reexamined in the whole kinematically accessible region
url http://www.sciencedirect.com/science/article/pii/S0550321315003168
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AT nanzhu bpllformfactorsreexaminedinthewholekinematicallyaccessibleregion