Abstract

We present phenomenological results for the inclusive cross section for the production of a lepton pair via virtual photon exchange at next-to-next-to-next-to-leading order in perturbative QCD. In line with the case of Higgs production, we find that the hadronic cross section receives corrections at the percent level, and the residual dependence on the perturbative scales is reduced. However, unlike in the Higgs case, we observe that the uncertainty band derived from scale variation is no longer contained in the band of the previous order.

Highlights

  • The discovery of the Higgs boson at the Large Hadron Collider (LHC) at CERN [1,2] and the absence of signals of new physics has resulted in a new precision collider program

  • The Drell-Yan (DY) process is the shining example of the precision phenomenology program at the LHC. This process corresponds to the production of a pair of charged leptons with a fixed invariant mass Q2 from an off shell photon or Z boson in quantum chromodynamics (QCD)

  • The DY process plays a key role in the measurement of parton distribution functions (PDFs) at the LHC and in many searches for physics beyond the Standard Model

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Summary

Introduction

The discovery of the Higgs boson at the Large Hadron Collider (LHC) at CERN [1,2] and the absence of signals of new physics has resulted in a new precision collider program. In this Letter, we compute for the first time the next-to-next-to-next-toleading-order (N3LO) corrections to lepton-pair production from a virtual photon.

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