Explaining the $R_K$ and $R_{D^{(\ast )}}$ anomalies with vector leptoquarks

Abstract

Recently the $B$ factories BaBar and Belle as well as the LHCb experiment have reported several anomalies in the semileptonic $B$ meson decays such as $R_K$ and $R_{D^{(\ast )}}$ etc. We investigate these deviations by considering the vector leptoquarks relevant for both $b\to s{l}^{+}{l}^{-}$ and $b\to cl{\bar{\nu }}_l$ transitions. The leptoquark parameter space is constrained by using the experimentally measured branching ratios of $B_s\to l^{+}{l}^{-}$, $\bar{B}\to X_s{l}^{+}{l}^{-}(\nu \bar{\nu })$ and $B_u^{+}\to l^{+}{\nu }_l$ processes. Using the constrained leptoquark couplings, we compute the branching ratios, forward-backward asymmetries, $\tau$ and $D^{\ast }$ polarization parameters in the $\bar{B}\to D^{(\ast )}l{\bar{\nu }}_l$ processes. We find that the vector leptoquarks can explain both $R_{D^{(\ast )}}$ and $R_K$ anomalies simultaneously. Furthermore, we study the rare leptonic $B_{u,c}^{\ast }\to l\bar{\nu }$ decay processes in this model.

33 pages, 14 figures, typos corrected

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