Large Extra Dimension effects through Light-by-Light Scattering at the CERN LHC

Abstract

Observing light-by-light scattering at the Large Hadron Collider (LHC) has received quite some attention and it is believed to be a clean and sensitive channel to possible new physics. In this paper, we study the diphoton production at the LHC via the process $\mathrm{pp}\to \mathrm{p}\gamma \gamma \mathrm{p}\to \mathrm{p}\gamma \gamma \mathrm{p}$ through graviton exchange in the Large Extra Dimension (LED) model. Typically, when we do the background analysis, we also study the Double Pomeron Exchange (DPE) of $\gamma \gamma$ production. We compare its production in the quark-quark collision mode to the gluon-gluon collision mode and find that contributions from the gluon-gluon collision mode are comparable to the quark-quark one. Our result shows, for extra dimension $\delta =4$, with an integrated luminosity $\mathcal{L}=200f{\mathrm{b}}^{-1}$ at the 14 TeV LHC, that diphoton production through graviton exchange can probe the LED effects up to the scale ${\mathrm{M}}_{\mathrm{S}}=5.06(4.51,5.11)\mathrm{TeV}$ for the forward detector acceptance ${\xi }_1({\xi }_2,{\xi }_3)$, respectively, where $0.0015<{\xi }_1<0.5$, $0.1<{\xi }_2<0.5$ and $0.0015<{\xi }_3<0.15$.

25 pages. 7 figs. Change some grammatical errors

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