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Yao, DL; Fernandez-Soler, P; Albaladejo, M; Guo, FK; Nieves, J
Heavy-to-light scalar form factors from Muskhelishvili-Omnes dispersion relations
AbstractBy solving the Muskhelishvili-Omnes integral equations, the scalar form factors of the semileptonic heavy meson decays D -> pi(l) over bar nu(l), D -> (K) over bar(l) over bar nu(l), (K) over bar -> pi(l) over bar nu(l) and (B) over bar (s) -> Kl (nu) over bar (l) are simultaneously studied. As input, we employ unitarized heavy meson-Goldstone boson chiral coupled-channel amplitudes for the energy regions not far from thresholds, while, at high energies, adequate asymptotic conditions are imposed. The scalar form factors are expressed in terms of Omn\`es matrices multiplied by vector polynomials, which contain some undetermined dispersive subtraction constants. We make use of heavy quark and chiral symmetries to constrain these constants, which are fitted to lattice QCD results both in the charm and the bottom sectors, and in this latter sector to the light-cone sum rule predictions close to q(2)=0 as well. We find a good simultaneous description of the scalar form factors for the four semileptonic decay reactions. From this combined fit, and taking advantage that scalar and vector form factors are equal at q(2)=0, we obtain |V-cd| = 0.244 +/- 0.022, |V-cs| = 0.945 +/- 0.041 and |V-ub| = (4.3 +/- 0.7)x10(-3) for the involved Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. In addition, we predict the following vector form factors at q(2) = 0: |f(+)(D ->eta)(0)| = 0.01 +/- 0.05, |f(+)(Ds ->eta)(0)| = 0.50 +/- 0.08, |f(+)(Ds ->eta)(0)| = 0.73 +/- 0.03 and|f(+)((B) over bar ->eta)(0)| = 0.82 +/- 0.08, which might serve as alternatives to determine the CKM elements when experimental measurements of the corresponding differential decay rates become available. Finally, we predict the different form factors above the q(2)-regions accessible in the semileptonic decays, up to moderate energies amenable to be described using the unitarized coupled-channel chiral approach.
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.[Yao, D. -L.
2.Fernandez-Soler, P.
3.Nieves, J.] UV, Inst Invest Paterna, Ctr Mixto, Inst Fis Corpuscular,CSIC, Apartado 22085, Valencia, Spain
4.[Albaladejo, M.] Univ Murcia, Dept Fis, E-30071 Murcia, Spain
5.[Guo, F. -K.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Zhong Guan Cun East St 55, Beijing 100190, Peoples R China
6.[Guo, F. -K.] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Yao, DL,Fernandez-Soler, P,Albaladejo, M,et al. Heavy-to-light scalar form factors from Muskhelishvili-Omnes dispersion relations[J]. EUROPEAN PHYSICAL JOURNAL C,2018,78(4):310.
APA Yao, DL,Fernandez-Soler, P,Albaladejo, M,Guo, FK,&Nieves, J.(2018).Heavy-to-light scalar form factors from Muskhelishvili-Omnes dispersion relations.EUROPEAN PHYSICAL JOURNAL C,78(4),310.
MLA Yao, DL,et al."Heavy-to-light scalar form factors from Muskhelishvili-Omnes dispersion relations".EUROPEAN PHYSICAL JOURNAL C 78.4(2018):310.
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