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arxiv: hep-lat/9711021 · v1 · pith:7A3ACVNTnew · submitted 1997-11-13 · ✦ hep-lat

Heavy quark mass dependence of semileptonic form factors for B decays

classification ✦ hep-lat
keywords quarkdependencefactorsformmasscharmheavyregion
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We present our study of the dependence of the heavy-to-light semileptonic B decay form factors on the heavy-light meson mass $M_{PS}$. Simulations are made over a range of the heavy quark mass covering both the charm and bottom quarks using the $O(a)$-improved clover action at $\beta=5.9$ on a $16^3\times 40$ and $24^3\times 64$ lattice. We find that a weak dependence of form factors on $M_{PS}$ observed in previous studies in the region of charm quark persists up to the region of$b$ quark. The soft pion relation $f^0(q^2_{max})=f_B/f_\pi$ is examined and found to be largely violated.

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