dorsal/arxiv
View SchemaSurvey of heavy-meson observables
| Authors | M. A. Ivanov, Yu. L. Kalinovsky, C. D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812063 |
| URL | https://arxiv.org/abs/nucl-th/9812063 |
| DOI | 10.1103/PhysRevD.60.034018 |
| Journal | Phys.Rev.D60:034018,1999 |
Abstract
We employ a Dyson-Schwinger equation model to effect a unified and uniformly accurate description of light- and heavy-meson observables, which we characterise by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions - B -> D*, D, rho, pi; D -> K*, K, pi, radiative and strong decays - B(s)* -> B(s) gamma; D(s)* -> D(s) gamma, D pi, and the rare B-> K* gamma flavour-changing neutral-current process. We elucidate the heavy-quark limit of these processes and, using a model-independent mass formula valid for all nonsinglet pseudoscalar mesons, demonstrate that their mass rises linearly with the mass of their heaviest constituent. In our numerical calculations we eschew a heavy-quark expansion and rely instead on the observation that the dressed c,b-quark mass functions are well approximated by a constant, interpreted as their constituent-mass: we find M_c=1.32 GeV and M_b=4.65 GeV. The calculated heavy-meson leptonic decay constants and transition form factors are a necessary element in the experimental determination of CKM matrix elements. The results also show that this framework, as employed hitherto, is well able to describe vector meson polarisation observables.
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"abstract": "We employ a Dyson-Schwinger equation model to effect a unified and uniformly\naccurate description of light- and heavy-meson observables, which we\ncharacterise by heavy-meson leptonic decays, semileptonic heavy-to-heavy and\nheavy-to-light transitions - B -\u003e D*, D, rho, pi; D -\u003e K*, K, pi, radiative and\nstrong decays - B(s)* -\u003e B(s) gamma; D(s)* -\u003e D(s) gamma, D pi, and the rare\nB-\u003e K* gamma flavour-changing neutral-current process. We elucidate the\nheavy-quark limit of these processes and, using a model-independent mass\nformula valid for all nonsinglet pseudoscalar mesons, demonstrate that their\nmass rises linearly with the mass of their heaviest constituent. In our\nnumerical calculations we eschew a heavy-quark expansion and rely instead on\nthe observation that the dressed c,b-quark mass functions are well approximated\nby a constant, interpreted as their constituent-mass: we find M_c=1.32 GeV and\nM_b=4.65 GeV. The calculated heavy-meson leptonic decay constants and\ntransition form factors are a necessary element in the experimental\ndetermination of CKM matrix elements. The results also show that this\nframework, as employed hitherto, is well able to describe vector meson\npolarisation observables.",
"arxiv_id": "nucl-th/9812063",
"authors": [
"M. A. Ivanov",
"Yu. L. Kalinovsky",
"C. D. Roberts"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-ph"
],
"doi": "10.1103/PhysRevD.60.034018",
"journal_ref": "Phys.Rev.D60:034018,1999",
"title": "Survey of heavy-meson observables",
"url": "https://arxiv.org/abs/nucl-th/9812063"
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