NNLO QCD corrections to production of a spin-2 particle with non-universal couplings in the DY process

Abstract

We study the phenomenological impact of the interaction of spin-2 fields with those of the Standard Model in a model independent framework up to next-to-next-to-leading order in perturbative Quantum Chromodynamics. We use the invariant mass distribution of the pair of leptons produced at the LHC to demonstrate this. A minimal scenario where the spin-2 fields couple to two gauge invariant operators with different coupling strengths has been considered. These operators being not conserved show very different ultraviolet behaviour increasing the searches options of spin-2 particles at the colliders. We find that our results using the higher order quantum corrections stabilise the predictions with respect to renormalisation and factorisation scales. We also find that corrections are appreciable which need to be taken into account in such searches at the colliders.

24 pages, 15 figures

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• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• Threshold enhanced cross sections for colorless productions
• Resummed next-to-soft corrections to rapidity distribution of Higgs Boson to $\text{NNLO}+\overline{\text{NNLL}}$
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
• Precision QCD phenomenology of exotic spin-2 search at the LHC
• Second order splitting functions and infrared safe cross sections in $\mathcal{N}=4$ SYM theory