Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input

In this paper, we studied systematically the semileptonic decays Bs⟶ϕl+l− with l−=e−,μ−,τ− by using the perturbative QCD (PQCD) and the “PQCD+Lattice” factorization approach, respectively. We first evaluated all relevant form factors Fiq2 in the low-q2 region using the PQCD approach, and we also too...

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Autores principales: Su-Ping Jin, Zhen-Jun Xiao
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Publicado: Hindawi Limited 2021
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spelling oai:doaj.org-article:b1f928cc615e4a59af5243e5948fefa12021-11-22T01:10:07ZStudy of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input1687-736510.1155/2021/3840623https://doaj.org/article/b1f928cc615e4a59af5243e5948fefa12021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3840623https://doaj.org/toc/1687-7365In this paper, we studied systematically the semileptonic decays Bs⟶ϕl+l− with l−=e−,μ−,τ− by using the perturbative QCD (PQCD) and the “PQCD+Lattice” factorization approach, respectively. We first evaluated all relevant form factors Fiq2 in the low-q2 region using the PQCD approach, and we also took the available lattice QCD results at the high-q2 region as additional input to improve the extrapolation of Fiq2 from the low-q2 region to the endpoint qmax2. We then calculated the branching ratios and many other physical observables AFBl, FLϕ, S3,4,7, and A5,6,8,9 and the clean angular observables P1,2,3 and P4,5,6,8′. From our studies, we find the following points: (a) the PQCD and “PQCD+Lattice” predictions of BBs⟶ϕμ+μ− are about 7×10−7, which agree well with the LHCb measured values and the QCD sum rule prediction within still large errors; (b) we defined and calculated the ratios of the branching ratios Rϕeμ and Rϕμτ; (c) the PQCD and “PQCD+Lattice” predictions of the longitudinal polarization FL, the CP-averaged angular coefficients S3,4,7, and the CP asymmetry angular coefficients A5,6,8,9 agree with the LHCb measurements in all considered bins within the still large experimental errors; and (d) for those currently still unknown observables Rϕeμ,Rϕμτ,AFBl,P1,2,3, and P4,5,6,8′, we suggest LHCb and Belle-II Collaboration to measure them in their experiments.Su-Ping JinZhen-Jun XiaoHindawi LimitedarticlePhysicsQC1-999ENAdvances in High Energy Physics, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Su-Ping Jin
Zhen-Jun Xiao
Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
description In this paper, we studied systematically the semileptonic decays Bs⟶ϕl+l− with l−=e−,μ−,τ− by using the perturbative QCD (PQCD) and the “PQCD+Lattice” factorization approach, respectively. We first evaluated all relevant form factors Fiq2 in the low-q2 region using the PQCD approach, and we also took the available lattice QCD results at the high-q2 region as additional input to improve the extrapolation of Fiq2 from the low-q2 region to the endpoint qmax2. We then calculated the branching ratios and many other physical observables AFBl, FLϕ, S3,4,7, and A5,6,8,9 and the clean angular observables P1,2,3 and P4,5,6,8′. From our studies, we find the following points: (a) the PQCD and “PQCD+Lattice” predictions of BBs⟶ϕμ+μ− are about 7×10−7, which agree well with the LHCb measured values and the QCD sum rule prediction within still large errors; (b) we defined and calculated the ratios of the branching ratios Rϕeμ and Rϕμτ; (c) the PQCD and “PQCD+Lattice” predictions of the longitudinal polarization FL, the CP-averaged angular coefficients S3,4,7, and the CP asymmetry angular coefficients A5,6,8,9 agree with the LHCb measurements in all considered bins within the still large experimental errors; and (d) for those currently still unknown observables Rϕeμ,Rϕμτ,AFBl,P1,2,3, and P4,5,6,8′, we suggest LHCb and Belle-II Collaboration to measure them in their experiments.
format article
author Su-Ping Jin
Zhen-Jun Xiao
author_facet Su-Ping Jin
Zhen-Jun Xiao
author_sort Su-Ping Jin
title Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
title_short Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
title_full Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
title_fullStr Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
title_full_unstemmed Study of Bs⟶ϕℓ+ℓ− Decays in the PQCD Factorization Approach with Lattice QCD Input
title_sort study of bs⟶ϕℓ+ℓ− decays in the pqcd factorization approach with lattice qcd input
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/b1f928cc615e4a59af5243e5948fefa1
work_keys_str_mv AT supingjin studyofbsphlldecaysinthepqcdfactorizationapproachwithlatticeqcdinput
AT zhenjunxiao studyofbsphlldecaysinthepqcdfactorizationapproachwithlatticeqcdinput
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