Abstract

As a model independent approach to search for the signals of new physics (NP) beyond the Standard Model (SM), the SM effective field theory (SMEFT) draws a lot of attention recently. The energy scale of a process is an important parameter in the study of an EFT such as the SMEFT. However, for the processes at a hadron collider with neutrinos in the final states, the energy scales are difficult to reconstruct. In this paper, we study the energy scale of anomalous γγ → W+W− scattering in the vector boson scattering (VBS) process pp → jjℓ+ℓ−ν overline{nu} at the large hadron collider (LHC) using artificial neural networks (ANNs). We find that the ANN is a powerful tool to reconstruct the energy scale of γγ → W+W− scattering. The factors affecting the effects of ANNs are also studied. In addition, we make an attempt to interpret the ANN and arrive at an approximate formula which has only five fitting parameters and works much better than the approximation derived from kinematic analysis. With the help of ANN approach, the unitarity bound is applied as a cut on the energy scale of γγ → W+W− scattering, which is found to has a significant suppressive effect on signal events. The sensitivity of the process pp → jjℓ+ℓ−ν overline{nu} to anomalous γγWW couplings and the expected constraints on the coefficients at current and possible future LHC are also studied.

Highlights

  • To investigate an EFT, the energy scale is an important parameter, because the Wilson coefficients are functions of energy scales

  • We study the energy scale of anomalous γγ → W +W − scattering in the vector boson scattering (VBS) process pp → jj + −ννat the large hadron collider (LHC) using artificial neural networks (ANNs)

  • We make an attempt to interpret the ANN and arrive at an approximate formula which has only five fitting parameters and works much better than the approximation derived from kinematic analysis

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Summary

A brief introduction of aQGCs

We briefly introduce the dimension-8 operators contributing to the aQGCs frequently used in experiments. OM,3 = Bμν Bνβ × DβΦ † DμΦ , OT,8 = Bμν Bμν × BαβBαβ, OM,4 = (DμΦ)† Wβν DμΦ × Bβν , OM,5 = (DμΦ)† Wβν Dν Φ × Bβμ + h.c., OM,7 = (DμΦ)† Wβν WβμDν Φ, OT,9 = BαμBμβ × Bβν Bνα,. The OM0,1,2,3,4,5,7 and OT0,1,2,5,6,7 operators can contribute to five anomalous γγW W couplings, which can be written as LγγW W =. The process pp → W +W −jj can be affected by the anomalous γγW W couplings as shown in figure 1. The s of the subprocess γγ → W +W − is denoted as s

Approximation of the energy scale
Numerical results of the ANN
ANN approach
The information in the data-set
Compare different sectors
Compare different operators
Compare different collision energies
Interpretation of the ANN
Expected constraints on the aQGCs
One ANN for all couplings
Signals and backgrounds
Unitarity bounds
Signal significance
Summary

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