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Differential decay rate for $B \to πl ν$ semileptonic decays

JLQCD Collaboration·S. Aoki·R. Burkhalter·M. Fukugita·S. Hashimoto·K-I. Ishikawa·N. Ishizuka·Y. Iwasaki·K. Kanaya·T. Kaneko·Y. Kuramashi·M. Okawa·T. Onogi·S. Tominaga·N. Tsutsui·A. Ukawa·N. Yamada·T. Yoshie
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Abstract

We present our study on $B \to πl ν$ semileptonic decay form factors with NRQCD action for heavy quark from a quenched lattice QCD simulation at $β$=5.9 on a $16^3\times 48$ lattice. We obtain form factors defined in the context of heavy quark effective theory by Burdman et al. and find that their $1/m_B$ correction is small. The limit of physical heavy and light quark masses can be performed without introducing any model function, and we obtain a prediction for the differential decay rate $dΓ/dq^2$. We also discuss the soft pion limit of the form factors.

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JLQCD Collaboration, S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T. Yoshie. 2000-11-13. Differential decay rate for $B \to πl ν$ semileptonic decays. https://doi.org/10.1016/s0920-5632(01)00954-9

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