# $|V {ub}|$ and $B oη^{&#x27;}$ Form Factors in Covariant Light Front Approach - High Energy Physics - Phenomenology

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Abstract: $B\to \pi, \eta, \eta-$ transition form factors are investigated in thecovariant light-front approach. With theoretical uncertainties, we find that$B\to \pi, \eta, \eta-$ form factors at $q^2=0$ are $f^{\pi, \eta,\eta-} {+}0=0.245^{+0.000} {-0.001}\pm 0.011, 0.220 \pm 0.009\pm0.009,0.180\pm 0.008^{+0.008} {-0.007}$ for vector current and $f^{\pi, \eta,\eta-} {T}0=0.239^{+0.002+0.020} {-0.003-0.018}, 0.211\pm0.009^{+0.017} {-0.015}, 0.173\pm 0.007^{+0.014} {-0.013}$ for tensor current,respectively. With the obtained $q^2$-dependent $f^{\pi} {+}q^2$ and observedbranching ratio BR for $\bar B d\to \pi^+ \ell \bar u {\ell}$, the $V {ub}$is found as $|V {ub}| {LF}= 3.99 \pm 0.13\times 10^{-3}$. As a result, thepredicted BRs for $\bar B\to \eta, \eta- \ell \bar u {\ell}$ decays with$\ell=e,\mu$ are given by $0.49^{+0.02+0.10} {-0.04- 0.07},0.24^{+0.01+0.04} {-0.02-0.03}\times 10^{-4}$, while the BRs for $D^-\to\eta,\eta-\ell\bar u {\ell}$ are $11.1^{+0.5+0.9} {-0.6-0.9},1.79^{+0.07+0.12} {-0.08-0.12}\times 10^{-4}$. In addition, we also study theintegrated lepton angular asymmetries for $\bar B\to \pi,\eta,\eta-\tau\bar u {\tau}$:$0.277^{+0.001+0.005} {-0.001-0.007},0.290^{+0.002+0.003} {-0.000-0.003},0.312^{+0.004+0.005} {-0.000-0.006}$.

Autor: Chuan-Hung Chen, Yue-Long Shen, Wei Wang

Fuente: https://arxiv.org/