Determination of $|V_{ub}|$ from exclusive baryonic $B$ decays

Abstract

We use the exclusive baryonic $B$ decays to determine the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V_{ub}$. From the relation $|V_{ub}{|}^2/|V_{cb}{|}^2=({\mathcal{B}}_{\pi }/{\mathcal{B}}_D){\mathcal{R}}_{ff}$ based on $B^{-}\to p\bar{p}{\pi }^{-}$ and ${\bar{B}}^0\to p\bar{p}{D}^0$ decays, where $|V_{cb}|$ and ${\mathcal{B}}_{\pi }/{\mathcal{B}}_D\equiv \mathcal{B}(B^{-}\to p\bar{p}{\pi }^{-})/\mathcal{B}({\bar{B}}^0\to p\bar{p}{D}^0)$ are the data input parameters, while ${\mathcal{R}}_{ff}$ is the one fixed by the $B\to p\bar{p}$ transition matrix elements, we find $|V_{ub}|=(3.48_{-0.63}^{+0.87}\pm 0.40\pm 0.07)\times 10^{-3}$ with the errors corresponding to the uncertainties from ${\mathcal{R}}_{ff}$, ${\mathcal{B}}_{\pi }/{\mathcal{B}}_D$ and $|V_{cb}|$, respectively. Being independent of the previous results, our determination of $|V_{ub}|$ has the central value close to those from the exclusive $\bar{B}\to \pi \ell {\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to p{\mu }^{-}{\bar{\nu }}_{\mu }$ decays, but overlaps the one from the inclusive $\bar{B}\to X_u\ell {\bar{\nu }}_{\ell }$ with the current uncertainties. The extraction of $|V_{ub}|$ in the baryonic $B$ decays is clearly very useful for the complete determination of the CKM matrix elements as well as the exploration of new physics.

7 pages, 1 figure, revised version accepted for publication in PLB

References in corpus (9)

• Big-Bang Nucleosynthesis
• Determination of the quark coupling strength $|V_{ub}|$ using baryonic decays
• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?
• Direct CP violation in ${\Lambda }_b$ decays
• Charmful Three-body Baryonic B decays
• Direct CP violation in $B^{\pm }\to p\bar{p}{K}^{(\ast )\pm }$
• Angular distributions in three-body baryonic B decays
• Analyzing $b\to u$ transitions in semileptonic ${\bar{B}}_s\to K^{\ast +}(\to K\pi ){\ell }^{-}{\bar{\nu }}_{\ell }$ decays

Cited by in corpus (4)

• Baryonic $B$ meson decays
• Semileptonic baryonic $B$ decays
• Determinations of $|V_{cb}|$ and $|V_{ub}|$ from baryonic ${\Lambda }_b$ decays
• Experimental Status of the CKM Matrix