B → πlΝ form factors calculated on the light-front |
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Authors: | Chi-Yee Cheung Chien-Wen Hwang Wei-Min Zhang |
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Institution: | 18. Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan, ROC 28. Department of Physics, National Taiwan University, Taipei, 10764, Taiwan, ROC
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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 ?+(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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