Vector leptoquark resolution of $R_K$ and $R_{D^{(\ast )}}$ puzzles

Abstract

We propose that three recent anomalies in $B$ meson decays, $R_{D^{(\ast )}}$, $R_K$, and $P_5^{\prime }$, might be explained by a single vector leptoquark weak triplet state. The constraints on the parameter space are obtained by considering $t\to b{\tau }^{+}\nu$ data, lepton flavor universality tests in the kaon sector, bounds on $B\to K^{(\ast )}\bar{\nu }\nu$, bound on the lepton flavor violating decay $B\to K\mu \tau$, and measurements of $b\to c{\mu }^{-}\bar{\nu }$ decays. The presence of such vector leptoquark could be exposed in precise measurements of $t\to b\tau \nu$ and $B\to K^{(\ast )}\bar{\nu }\nu$ decays. The model also predicts approximate equality of lepton flavor universality ratios $R_{K^{\ast }}$, $R_K$, and suppressed branching fraction of $B_s\to {\mu }^{+}{\mu }^{-}$.

Comments: Update on B->Knu nu; 8 pages, 1 figure