dorsal/arxiv
View SchemaHeavy- to light-meson transition form factors
| Authors | M. A. Ivanov, Yu. L. Kalinovsky, P. Maris, C. D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9711023 |
| URL | https://arxiv.org/abs/nucl-th/9711023 |
| DOI | 10.1103/PhysRevC.57.1991 |
| Journal | Phys.Rev.C57:1991-2003,1998 |
Abstract
Semileptonic heavy -> heavy and heavy -> light meson transitions are studied as a phenomenological application of a heavy-quark limit of Dyson-Schwinger equations. Employing two parameters: E, the difference between the mass of the heavy meson and the effective-mass of the heavy quark; and Lambda, the width of the heavy-meson Bethe-Salpeter amplitude, we calculate f_+(t) for all decays on their entire kinematically accessible t-domain. Our study favours f_B in the range 0.135-0.17 GeV and with E=0.44 GeV and 1/Lambda = 0.14 fm we obtain f_+^{B pi}(0) = 0.46. As a result of neglecting 1/m_c-corrections, we estimate that our calculated values of \rho^2 = 0.87 and f_+^{DK}(0)=0.62 are too low by approximately 15%. However, the bulk of these corrections should cancel in our calculated values of Br(D -> \pi l nu)/Br(D -> K l nu)=0.13 and f_+^{D pi}(0)/f_+^{DK}(0) = 1.16.
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"abstract": "Semileptonic heavy -\u003e heavy and heavy -\u003e light meson transitions are studied\nas a phenomenological application of a heavy-quark limit of Dyson-Schwinger\nequations. Employing two parameters: E, the difference between the mass of the\nheavy meson and the effective-mass of the heavy quark; and Lambda, the width of\nthe heavy-meson Bethe-Salpeter amplitude, we calculate f_+(t) for all decays on\ntheir entire kinematically accessible t-domain. Our study favours f_B in the\nrange 0.135-0.17 GeV and with E=0.44 GeV and 1/Lambda = 0.14 fm we obtain\nf_+^{B pi}(0) = 0.46. As a result of neglecting 1/m_c-corrections, we estimate\nthat our calculated values of \\rho^2 = 0.87 and f_+^{DK}(0)=0.62 are too low by\napproximately 15%. However, the bulk of these corrections should cancel in our\ncalculated values of Br(D -\u003e \\pi l nu)/Br(D -\u003e K l nu)=0.13 and f_+^{D\npi}(0)/f_+^{DK}(0) = 1.16.",
"arxiv_id": "nucl-th/9711023",
"authors": [
"M. A. Ivanov",
"Yu. L. Kalinovsky",
"P. Maris",
"C. D. Roberts"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-ph"
],
"doi": "10.1103/PhysRevC.57.1991",
"journal_ref": "Phys.Rev.C57:1991-2003,1998",
"title": "Heavy- to light-meson transition form factors",
"url": "https://arxiv.org/abs/nucl-th/9711023"
},
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