Collider signature of $V_2$ Leptoquark with $bto s$ flavour observables

The Leptoquark model has been instrumental in explaining the observed lepton flavour universality violating charged ($bto c$) and neutral ($bto s$) current anomalies that have been the cause for substantial excitement in particle physics recently. In this article we have studied the role of one (designated as $V_2^{frac 43}$) of the components of {boldmath${V}_2$} Vector Leptoquark doublet with electromagnetic charge $frac 43$ in explaining the neutral current ($bto s$) anomalies $R_{K^{(*)}}$ and $B_stomu^+mu^-$. Moreover, we have performed a thorough collider search for this $V_2^{frac 43}$ Leptoquark using $bbar{b} ell^+ ell^-$ ($ellequiv e, mu$) final state at the Large Hadron Collider. From our collider analysis we maximally exclude the mass of the $V_2^{frac 43}$ Leptoquark up to 2340 GeV at 95% confidence level for the 13 TeV Large Hadron Collider for an integrated luminosity of 3000 ${rm fb}^{-1}$. Furthermore, a significant portion of the allowed parameter space that is consistent with the neutral current ($bto s$) observables is excluded by collider analysis.