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B → πlΝ form factors calculated on the light-front

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Zeitschrift für Physik C Particles and Fields

Abstract

A consistent treatment of B → πlν decay is given on the light-front. The B to π transition form factors are calculated in the entire physical range of momentum transfer for the first time. The valence-quark contribution is obtained using relativistic light-front wave functions. Higher quark-antiquark Fock-state of the B-meson bound state is represented effectively by the ¦B*π〉 configuration, and its effect is calculated in the chiral perturbation theory. Wave function renormalization is taken into account consistently. The ¦B*π〉 contribution dominates near the zero-recoil point (q 2 ≃ 25 GeV2), and decreases rapidly as the recoil momentum increases. The calculated form factor ƒ+(q 2) follows approximately a dipole q 2-dependence in the entire range of momentum transfer. We estimate that ¦V ub¦=0.003.

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Authors and Affiliations

  1. Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan, ROC

    Chi-Yee Cheung, Chien-Wen Hwang & Wei-Min Zhang

  2. Department of Physics, National Taiwan University, Taipei, 10764, Taiwan, ROC

    Chien-Wen Hwang

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  1. Chi-Yee Cheung
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  2. Chien-Wen Hwang
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  3. Wei-Min Zhang
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Cheung, CY., Hwang, CW. & Zhang, WM. B → πlΝ form factors calculated on the light-front. Z Phys C - Particles and Fields 75, 657–664 (1997). https://doi.org/10.1007/s002880050511

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  • DOI: https://doi.org/10.1007/s002880050511

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