NLO QCD Corrections to Graviton Induced Deep Inelastic Scattering

TL;DR

This paper calculates NLO QCD corrections to graviton exchange in deep inelastic scattering, improving the theoretical precision for experiments like HERA and LHeC, and demonstrating divergence cancellations.

Contribution

It provides the first detailed calculation of NLO structure functions for graviton-induced DIS, including virtual and real corrections, and compares results across different collider energies.

Findings

NLO corrections significantly modify LO predictions.

Divergences cancel as expected in the calculations.

Results extend the reach of graviton searches at future colliders.

Abstract

We consider Next-to-Leading-Order QCD corrections to ADD graviton exchange relevant for Deep Inelastic Scattering experiments. We calculate the relevant NLO structure functions by calculating the virtual and real corrections for a set of graviton interaction diagrams, demonstrating the expected cancellation of the UV and IR divergences. We compare the NLO and LO results at the centre-of-mass energy relevant to HERA experiments as well as for the proposed higher energy lepton-proton collider, LHeC, which has a higher fundamental scale reach.