Drell-Yan and Diphoton production at Hadron Colliders and Low Scale Gravity Model

TL;DR

This paper investigates how large extra dimensions in gravity models affect dilepton and diphoton production at hadron colliders, using double differential cross-sections to improve sensitivity and setting new limits on the effective Planck scale.

Contribution

It introduces the use of double differential cross-sections in collider data analysis to enhance detection sensitivity for low scale gravity effects.

Findings

Higher sensitivity with double differential cross-section analysis.

Set lower limits on the effective Planck scale ranging from 0.9 TeV to 12.8 TeV.

Limits depend on the number of extra dimensions, from 2 to 7.

Abstract

In the model of Arkani-Hamed, Dimopoulos, and Dvali where gravity is allowed to propagate in the extra dimensions of very large size, virtual graviton exchange between the standard model particles can give rise to signatures that can be tested in collider experiments. We study these effects in dilepton and diphoton production at hadron colliders. Specifically, we examine the double differential cross-section in the invariant mass and scattering angle, which is found to be useful in separating the gravity effects from the standard model. In this work, sensitivity obtained using the double differential cross-section is higher than that in previous studies based on single differential distributions. Assuming no excess of events over the standard model predictions, we obtain the following 95% confidence level lower limits on the effective Planck scale: $0.9-1.5$ TeV in the Tevatron Run I, $1.3-2.5$ TeV in Run IIa, $1.7-3.5$ TeV in Run IIb, and $6.5-12.8$ TeV at the LHC. The range of numbers corresponds to the number of extra dimensions $n=7-2$.