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Form factors for rare decays $B\to(\pi,\rho,K,K^*)l^+l^-$ in quark model
High Energy Physics - Phenomenology · Submitted 27 Sep 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These form factors are shown to have the correct scaling properties in the limit of heavy-to-heavy and heavy-to-light quark transitions in accordance with QCD.
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The abstract, sentence by sentence
Hadronic matrix elements of the vector, axial-vector and tensor currents relevant for exclusive rare decays $B\to(\pi,\rho,K,K^*)\,l^+l^-$ induced by the quark transition $b\to d,s$ are analysed using dispersion formulation of the light-cone constituent quark model. The form factors in the decay region are expressed as relativistic double spectral representations through the light-cone wave functions of the initial and final mesons. These form factors are shown to have the correct scaling properties in the limit of heavy-to-heavy and heavy-to-light quark transitions in accordance with QCD. The dependence on the quark-model parameters is studied.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Hadronic matrix elements of the vector, axial-vector and tensor currents relevant for exclusive rare decays $B\to(\pi,\rho,K,K^*)\,l^+l^-$ induced by the quark transition $b\to d,s$ are analysed using dispersion formulation of the light-cone constituent quark model. | contribution 0.84 | 0.92 | 0.13 | asserted 0.99 |
| s1 | The form factors in the decay region are expressed as relativistic double spectral representations through the light-cone wave functions of the initial and final mesons. | method 0.91 | 0.91 | 0.12 | asserted 1.00 |
| s2 | These form factors are shown to have the correct scaling properties in the limit of heavy-to-heavy and heavy-to-light quark transitions in accordance with QCD. | result 0.92 | 0.88 | 0.35 | asserted 1.00 |
| s3 | The dependence on the quark-model parameters is studied. | contribution 0.84 | 0.90 | 0.05 | asserted 0.60 |
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The paper
Original abstract
Hadronic matrix elements of the vector, axial-vector and tensor currents relevant for exclusive rare decays $B\to(\pi,\rho,K,K^*)\,l^+l^-$ induced by the quark transition $b\to d,s$ are analysed using dispersion formulation of the light-cone constituent quark model. The form factors in the decay region are expressed as relativistic double spectral representations through the light-cone wave functions of the initial and final mesons. These form factors are shown to have the correct scaling properties in the limit of heavy-to-heavy and heavy-to-light quark transitions in accordance with QCD. The dependence on the quark-model parameters is studied.
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2 arXiv papers cite this in 3 sentences
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These values favour SM expectations of Refs. [ref] and disfavour the $()$ SM expectation of Ref. [ref] .
Study of the rare $B_s^0$ and $B^0$ decays into the $\pi^+\pi^-\mu^+\mu^-$ final state · Conclusions · 0.82
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