Constraining ADD black holes at the LHC with $\sqrt{s} = 14$ TeV
We explore microscopic black holes at the Large Hadron Collider (LHC) in the context of the ADD model for the centre-of-mass energy $\sqrt{s} = 14~\mathrm{TeV}$ at an integrated luminosity of $349.4~\mathrm{fb}^{-1}$ and provide constraints on the black hole mass, $M_{\mathrm{B}}$ by taking into account the effects of loss during the formation process of black holes through the parameter $\zeta$. Our analysis reveals that for $\zeta = 0$, black holes with $M_{\mathrm{B}} \leq 11.83~\mathrm{TeV}$ are disfavored in the case of three extra dimensions ($\mathcal{D}$), for the reduced Planck scale ($\Lambda_{\mathcal{D}}$) of about a TeV. The corresponding values for $\Lambda_{\mathcal{D}} = 9~\mathrm{TeV}$ turned out to be about $10.33~\mathrm{TeV}$. A significant reduction in the aforementioned limits is observed while the loss gets higher, e.g. for $\zeta = 0.35$, $M_{\mathrm{B}}$ reduces to $7.65 (6.82)~\mathrm{TeV}$ at $\Lambda_{\mathcal{D}} = 1 (9)~\mathrm{TeV}$. These limits change to $12.03 ~(10.88)~\mathrm{TeV}$ and $7.80~ (7.03)~\mathrm{TeV}$ respectively for $\zeta = 0~(0.35)$ for $\Lambda_{\mathcal{D}} = 1 (9)~\mathrm{TeV}$ at 95\% C.L. in case $\mathcal{D}$ is raised to seven.