Abstract

QCD instantons are non-perturbative phenomena predicted to arise from the strong force, but which have not been directly observed. However, they may appear as a large number of soft jets in LHC collisions. In this paper the authors provide a state-of-the-art calculation of the event rate for these signals by making use of the optical theorem and higher-order contributions. Despite estimating a large cross-section, they find such searches will be difficult due to trigger thresholds and suggest to look for them in data from low-luminosity runs.

Highlights

  • Instantons are arguably the best motivated nonperturbative effects in the Standard Model (SM), and yet they have not been observed so far

  • Instantons are the best motivated, yet unobserved, nonperturbative effects predicted by the Standard Model

  • Being able to study instantons in scattering processes would provide a new window to the phenomenological exploration of the QCD vacuum, and it would allow the tensioning of nonperturbative theoretical methods developed for gauge theories with data

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Summary

INTRODUCTION

Instantons are arguably the best motivated nonperturbative effects in the Standard Model (SM), and yet they have not been observed so far. These effects are beyond the reach of ordinary perturbation theory, and in particular in the electroweak theory they lead to the violation of baryon plus lepton number (B þ L), while in QCD instantons processes violate chirality [5,6],. The final integration over the single negative mode that gives rise to the imaginary part of the amplitude, as required by the optical theorem, will be carried out in the saddle-point approximation This provides a more robust prediction leading on average to an order of magnitude increase in instanton partonic cross sections in our case.

COMPUTATION OF THE INSTANTON PARTONIC CROSS SECTION
QCD instantons and scattering amplitudes
The optical theorem approach
More on instanton–anti-instanton interaction
Mean number of final state gluons
INSTANTON RECOIL BY A JET
Topology of instanton events
Searches in high-luminosity LHC runs
Search in low-luminosity LHC runs
QCD instanton search at the Tevatron
CONCLUSIONS

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